78,891,736

2³ × 7 × 11 × 89 × 1439

78,891,736 factors as 2^3 × 7 × 11 × 89 × 1439. Its 64 positive divisors give a proper-divisor sum of 107,732,264, so this integer is abundant. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 11 × 89 × 1439

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 186,624,000

Proper Divisor Sum 107,732,264

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #78891731 ← → #78891739

Radix Representation

Decimal	78891736
Binary	100101100111100101011011000 (27 bits)
Octal	0o454745330
Hexadecimal	0x4B3CAD8

Divisor Catalog (60 of 64)

1 2 4 7 8 11 14 22 28 44 56 77 88 89 154 178 308 356 616 623 712 979 1,246 1,439 1,958 2,492 2,878 3,916 4,984 5,756 6,853 7,832 10,073 11,512 13,706 15,829 20,146 27,412 31,658 40,292 54,824 63,316 80,584 110,803 126,632 128,071 221,606 256,142 443,212 512,284 886,424 896,497 1,024,568 1,408,781 1,792,994 2,817,562 3,585,988 5,635,124 7,171,976 9,861,467

Collatz Trajectory (197 steps to reach 1)

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

78,891,736 39,445,868 19,722,934 9,861,467 29,584,402 14,792,201 44,376,604 22,188,302 11,094,151 33,282,454 16,641,227 49,923,682 24,961,841 74,885,524 37,442,762 18,721,381 56,164,144 28,082,072 14,041,036 7,020,518 3,510,259 10,530,778 5,265,389 15,796,168 7,898,084 3,949,042 1,974,521 5,923,564 2,961,782 1,480,891 4,442,674 2,221,337 6,664,012 3,332,006 1,666,003 4,998,010 2,499,005 7,497,016 3,748,508 1,874,254 937,127 2,811,382 1,405,691 4,217,074 2,108,537 6,325,612 3,162,806 1,581,403 4,744,210 2,372,105 7,116,316 3,558,158 1,779,079 5,337,238 2,668,619 8,005,858 4,002,929 12,008,788 6,004,394 3,002,197

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