5,165,439

3 × 313 × 5501

Starting at 5,165,439, the Collatz iteration reaches 1 after 219 steps. The first transition is 15496318; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 313 × 5501

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,910,512

Proper Divisor Sum 1,745,073

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #5165431 ← → #5165453

Radix Representation

Decimal	5165439
Binary	10011101101000101111111 (23 bits)
Octal	0o23550577
Hexadecimal	0x4ED17F

Divisor Catalog (8)

1 3 313 939 5,501 16,503 1,721,813 5,165,439

Collatz Trajectory (219 steps to reach 1)

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

5,165,439 15,496,318 7,748,159 23,244,478 11,622,239 34,866,718 17,433,359 52,300,078 26,150,039 78,450,118 39,225,059 117,675,178 58,837,589 176,512,768 88,256,384 44,128,192 22,064,096 11,032,048 5,516,024 2,758,012 1,379,006 689,503 2,068,510 1,034,255 3,102,766 1,551,383 4,654,150 2,327,075 6,981,226 3,490,613 10,471,840 5,235,920 2,617,960 1,308,980 654,490 327,245 981,736 490,868 245,434 122,717 368,152 184,076 92,038 46,019 138,058 69,029 207,088 103,544 51,772 25,886 12,943 38,830 19,415 58,246 29,123 87,370 43,685 131,056 65,528 32,764

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