749,496

2³ × 3 × 11 × 17 × 167

749,496 has digital root 3. The neighboring primes are 749471 and 749543; its proper-divisor sum differs from the starting integer by 678,288.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 17 × 167

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 2,177,280

Proper Divisor Sum 1,427,784

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #749471 ← → #749543

Radix Representation

Decimal	749496
Binary	10110110111110111000 (20 bits)
Octal	0o2667670
Hexadecimal	0xB6FB8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 167 187 204 264 334 374 408 501 561 668 748 1,002 1,122 1,336 1,496 1,837 2,004 2,244 2,839 3,674 4,008 4,488 5,511 5,678 7,348 8,517 11,022 11,356 14,696 17,034 22,044 22,712 31,229 34,068 44,088 62,458 68,136 93,687 124,916

Collatz Trajectory (180 steps to reach 1)

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

749,496 374,748 187,374 93,687 281,062 140,531 421,594 210,797 632,392 316,196 158,098 79,049 237,148 118,574 59,287 177,862 88,931 266,794 133,397 400,192 200,096 100,048 50,024 25,012 12,506 6,253 18,760 9,380 4,690 2,345 7,036 3,518 1,759 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796

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