λ
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7,806,864

24 × 3 × 13 × 12511
Abundant Even Composite

7,806,864 factors as 2^4 × 3 × 13 × 12511. Its 40 positive divisors give a proper-divisor sum of 13,913,968, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 12511
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 21,720,832
Proper Divisor Sum 13,913,968
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7806863 ← → #7806871

Radix Representation

Decimal 7806864
Binary 11101110001111110010000 (23 bits)
Octal 0o35617620
Hexadecimal 0x771F90

Divisor Catalog (40)

1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 12,511 25,022 37,533 50,044 75,066 100,088 150,132 162,643 200,176 300,264 325,286 487,929 600,528 650,572 975,858 1,301,144 1,951,716 2,602,288 3,903,432 7,806,864

Collatz Trajectory (93 steps to reach 1)

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

7,806,864 3,903,432 1,951,716 975,858 487,929 1,463,788 731,894 365,947 1,097,842 548,921 1,646,764 823,382 411,691 1,235,074 617,537 1,852,612 926,306 463,153 1,389,460 694,730 347,365 1,042,096 521,048 260,524 130,262 65,131 195,394 97,697 293,092 146,546 73,273 219,820 109,910 54,955 164,866 82,433 247,300 123,650 61,825 185,476 92,738 46,369 139,108 69,554 34,777 104,332 52,166 26,083 78,250 39,125 117,376 58,688 29,344 14,672 7,336 3,668 1,834 917 2,752 1,376

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