931,302

2 × 3² × 31 × 1669

Starting at 931,302, the Collatz iteration reaches 1 after 139 steps. The first transition is 465651; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 31 × 1669

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,084,160

Proper Divisor Sum 1,152,858

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #931289 ← → #931303

Radix Representation

Decimal	931302
Binary	11100011010111100110 (20 bits)
Octal	0o3432746
Hexadecimal	0xE35E6

Divisor Catalog (24)

1 2 3 6 9 18 31 62 93 186 279 558 1,669 3,338 5,007 10,014 15,021 30,042 51,739 103,478 155,217 310,434 465,651 931,302

Collatz Trajectory (139 steps to reach 1)

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

931,302 465,651 1,396,954 698,477 2,095,432 1,047,716 523,858 261,929 785,788 392,894 196,447 589,342 294,671 884,014 442,007 1,326,022 663,011 1,989,034 994,517 2,983,552 1,491,776 745,888 372,944 186,472 93,236 46,618 23,309 69,928 34,964 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476

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