λ
Integer Codex

156,921

3 × 19 × 2753
Deficient Odd Composite

For 156,921, the 8 positive divisors have a total of 220,320. Removing 156,921 leaves 63,399, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 19 × 2753
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 220,320
Proper Divisor Sum 63,399
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #156913 ← → #156941

Radix Representation

Decimal 156921
Binary 100110010011111001 (18 bits)
Octal 0o462371
Hexadecimal 0x264F9

Divisor Catalog (8)

1 3 19 57 2,753 8,259 52,307 156,921

Collatz Trajectory (108 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

156,921 470,764 235,382 117,691 353,074 176,537 529,612 264,806 132,403 397,210 198,605 595,816 297,908 148,954 74,477 223,432 111,716 55,858 27,929 83,788 41,894 20,947 62,842 31,421 94,264 47,132 23,566 11,783 35,350 17,675 53,026 26,513 79,540 39,770 19,885 59,656 29,828 14,914 7,457 22,372 11,186 5,593 16,780 8,390 4,195 12,586 6,293 18,880 9,440 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998

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