76,718,464

2⁷ × 37 × 97 × 167

76,718,464 factors as 2^7 × 37 × 97 × 167. Its 64 positive divisors give a proper-divisor sum of 82,817,696, so this integer is abundant. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2^7 × 37 × 97 × 167

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 159,536,160

Proper Divisor Sum 82,817,696

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #76718443 ← → #76718483

Radix Representation

Decimal	76718464
Binary	100100100101010000110000000 (27 bits)
Octal	0o444520600
Hexadecimal	0x492A180

Divisor Catalog (60 of 64)

1 2 4 8 16 32 37 64 74 97 128 148 167 194 296 334 388 592 668 776 1,184 1,336 1,552 2,368 2,672 3,104 3,589 4,736 5,344 6,179 6,208 7,178 10,688 12,358 12,416 14,356 16,199 21,376 24,716 28,712 32,398 49,432 57,424 64,796 98,864 114,848 129,592 197,728 229,696 259,184 395,456 459,392 518,368 599,363 790,912 1,036,736 1,198,726 2,073,472 2,397,452 4,794,904

Collatz Trajectory (197 steps to reach 1)

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

76,718,464 38,359,232 19,179,616 9,589,808 4,794,904 2,397,452 1,198,726 599,363 1,798,090 899,045 2,697,136 1,348,568 674,284 337,142 168,571 505,714 252,857 758,572 379,286 189,643 568,930 284,465 853,396 426,698 213,349 640,048 320,024 160,012 80,006 40,003 120,010 60,005 180,016 90,008 45,004 22,502 11,251 33,754 16,877 50,632 25,316 12,658 6,329 18,988 9,494 4,747 14,242 7,121 21,364 10,682 5,341 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 2,254

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