5,629,167

3² × 239 × 2617

Starting at 5,629,167, the Collatz iteration reaches 1 after 232 steps. The first transition is 16887502; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 239 × 2617

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,168,160

Proper Divisor Sum 2,538,993

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5629157 ← → #5629199

Radix Representation

Decimal	5629167
Binary	10101011110010011101111 (23 bits)
Octal	0o25362357
Hexadecimal	0x55E4EF

Divisor Catalog (12)

1 3 9 239 717 2,151 2,617 7,851 23,553 625,463 1,876,389 5,629,167

Collatz Trajectory (232 steps to reach 1)

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

5,629,167 16,887,502 8,443,751 25,331,254 12,665,627 37,996,882 18,998,441 56,995,324 28,497,662 14,248,831 42,746,494 21,373,247 64,119,742 32,059,871 96,179,614 48,089,807 144,269,422 72,134,711 216,404,134 108,202,067 324,606,202 162,303,101 486,909,304 243,454,652 121,727,326 60,863,663 182,590,990 91,295,495 273,886,486 136,943,243 410,829,730 205,414,865 616,244,596 308,122,298 154,061,149 462,183,448 231,091,724 115,545,862 57,772,931 173,318,794 86,659,397 259,978,192 129,989,096 64,994,548 32,497,274 16,248,637 48,745,912 24,372,956 12,186,478 6,093,239 18,279,718 9,139,859 27,419,578 13,709,789 41,129,368 20,564,684 10,282,342 5,141,171 15,423,514 7,711,757

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