929,597

31 × 157 × 191

Starting at 929,597, the Collatz iteration reaches 1 after 139 steps. The first transition is 2788792; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 31 × 157 × 191

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 970,752

Proper Divisor Sum 41,155

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #929587 ← → #929609

Radix Representation

Decimal	929597
Binary	11100010111100111101 (20 bits)
Octal	0o3427475
Hexadecimal	0xE2F3D

Divisor Catalog (8)

1 31 157 191 4,867 5,921 29,987 929,597

Collatz Trajectory (139 steps to reach 1)

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

929,597 2,788,792 1,394,396 697,198 348,599 1,045,798 522,899 1,568,698 784,349 2,353,048 1,176,524 588,262 294,131 882,394 441,197 1,323,592 661,796 330,898 165,449 496,348 248,174 124,087 372,262 186,131 558,394 279,197 837,592 418,796 209,398 104,699 314,098 157,049 471,148 235,574 117,787 353,362 176,681 530,044 265,022 132,511 397,534 198,767 596,302 298,151 894,454 447,227 1,341,682 670,841 2,012,524 1,006,262 503,131 1,509,394 754,697 2,264,092 1,132,046 566,023 1,698,070 849,035 2,547,106 1,273,553

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