From 'asham; guilt; by implication, a fault; also a sin-offering -- guiltiness, (offering for) sin, trespass (offering).
see HEBREW 'asham
H817. asham
אָשָׁם noun masculine offence, guilt — ׳א Genesis 26:10 37t., suffix אֲשָׁמוֺ Numbers 5:7 7t.; —
1 offence, trespass, fault Psalm 68:22 (guiltiness RV).
2 guilt Genesis 26:10 (J) Proverbs 14:9; Jeremiah 51:5.
3 compensation, אֵלָיו הָאָשָׁם לְהָשִׁיב to whom to return the compensation (or satisfaction for injury) Numbers 5:7-8, (P; restitution for guilt RV).
4 trespass-offering (AV, but guilt-offering RV) used only in Leviticus 5; Leviticus 6:10; 7:1; 14:1; 19:21-22, Numbers 5:1; 6:12; 18:9 (P), & Ezekiel 40:39; 42:13; 44:29; 46:20, compare Ezra 10:19. This offering seems to have been confined to offences against God or man that could be estimated and so covered by compensation. The ordinary trespass-offering was a ram, together with restitution and a penalty of a fifth of its value. The trespass-offerings of the leper and Nazirite were he-lambs Leviticus 14 Numbers 6:12; if the person who suffered wrong or his kinsmen were not living the fine went to the priests. The victims were offered, the blood and fat pieces going to the altar, the skin and flesh to the priests. There seems to have been no application of the blood to the horns of the altar (the chief ceremony of the sin-offering) because the guilt was not expiated at the altar but by compensation to the wronged person or his representative. A part of the blood of the leper's trespass-offering was applied to his person to consecrate him (as in the case of the ram of consecration to consecrate the priests Leviticus 8:23). The trespass-offering is unknown to J E D and the older Hebrew literature. However, the Philistines send an אשׁם of golden mice and tumours 1 Samuel 6:3-4, 8, 17, and an אשׁם of money was given to the priests 2 Kings 12:17, but these are entirely different from the trespass-offering of P. The Messianic servant offers himself as an אשׁם in compensation for the sins of the people, interposing for them as their substitute Isaiah 53:10 (incorrectly, sin-offering AV RV). See further OehlerOT Theol. § 137 Di Leviticus 5:14.