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6,131,880

23 × 32 × 5 × 17033
Abundant Even Composite

6,131,880 factors as 2^3 × 3^2 × 5 × 17033. Its 48 positive divisors give a proper-divisor sum of 13,797,900, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 17033
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,929,780
Proper Divisor Sum 13,797,900
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6131863 ← → #6131887

Radix Representation

Decimal 6131880
Binary 10111011001000010101000 (23 bits)
Octal 0o27310250
Hexadecimal 0x5D90A8

Divisor Catalog (48)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 17,033 34,066 51,099 68,132 85,165 102,198 136,264 153,297 170,330 204,396 255,495 306,594 340,660 408,792 510,990 613,188 681,320 766,485 1,021,980 1,226,376 1,532,970 2,043,960 3,065,940 6,131,880

Collatz Trajectory (152 steps to reach 1)

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

6,131,880 3,065,940 1,532,970 766,485 2,299,456 1,149,728 574,864 287,432 143,716 71,858 35,929 107,788 53,894 26,947 80,842 40,421 121,264 60,632 30,316 15,158 7,579 22,738 11,369 34,108 17,054 8,527 25,582 12,791 38,374 19,187 57,562 28,781 86,344 43,172 21,586 10,793 32,380 16,190 8,095 24,286 12,143 36,430 18,215 54,646 27,323 81,970 40,985 122,956 61,478 30,739 92,218 46,109 138,328 69,164 34,582 17,291 51,874 25,937 77,812 38,906

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