747,102

2 × 3 × 41 × 3037

747,102 factors as 2 × 3 × 41 × 3037. Its 16 positive divisors give a proper-divisor sum of 784,050, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2 × 3 × 41 × 3037

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,531,152

Proper Divisor Sum 784,050

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #747073 ← → #747107

Radix Representation

Decimal	747102
Binary	10110110011001011110 (20 bits)
Octal	0o2663136
Hexadecimal	0xB665E

Divisor Catalog (16)

1 2 3 6 41 82 123 246 3,037 6,074 9,111 18,222 124,517 249,034 373,551 747,102

Collatz Trajectory (136 steps to reach 1)

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

747,102 373,551 1,120,654 560,327 1,680,982 840,491 2,521,474 1,260,737 3,782,212 1,891,106 945,553 2,836,660 1,418,330 709,165 2,127,496 1,063,748 531,874 265,937 797,812 398,906 199,453 598,360 299,180 149,590 74,795 224,386 112,193 336,580 168,290 84,145 252,436 126,218 63,109 189,328 94,664 47,332 23,666 11,833 35,500 17,750 8,875 26,626 13,313 39,940 19,970 9,985 29,956 14,978 7,489 22,468 11,234 5,617 16,852 8,426 4,213 12,640 6,320 3,160 1,580 790

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