931,140

2² × 3² × 5 × 7 × 739

Starting at 931,140, the Collatz iteration reaches 1 after 183 steps. The first transition is 465570; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 7 × 739

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 3,232,320

Proper Divisor Sum 2,301,180

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #931129 ← → #931153

Radix Representation

Decimal	931140
Binary	11100011010101000100 (20 bits)
Octal	0o3432504
Hexadecimal	0xE3544

Divisor Catalog (60 of 72)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 739 1,260 1,478 2,217 2,956 3,695 4,434 5,173 6,651 7,390 8,868 10,346 11,085 13,302 14,780 15,519 20,692 22,170 25,865 26,604 31,038 33,255 44,340 46,557 51,730

Collatz Trajectory (183 steps to reach 1)

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

931,140 465,570 232,785 698,356 349,178 174,589 523,768 261,884 130,942 65,471 196,414 98,207 294,622 147,311 441,934 220,967 662,902 331,451 994,354 497,177 1,491,532 745,766 372,883 1,118,650 559,325 1,677,976 838,988 419,494 209,747 629,242 314,621 943,864 471,932 235,966 117,983 353,950 176,975 530,926 265,463 796,390 398,195 1,194,586 597,293 1,791,880 895,940 447,970 223,985 671,956 335,978 167,989 503,968 251,984 125,992 62,996 31,498 15,749 47,248 23,624 11,812 5,906

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