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57,839,680

26 × 5 × 180749
Abundant Even Composite

57,839,680 factors as 2^6 × 5 × 180749. Its 28 positive divisors give a proper-divisor sum of 79,891,820, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 180749
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 137,731,500
Proper Divisor Sum 79,891,820
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #57839671 ← → #57839681

Radix Representation

Decimal 57839680
Binary 11011100101001000001000000 (26 bits)
Octal 0o334510100
Hexadecimal 0x3729040

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 320 180,749 361,498 722,996 903,745 1,445,992 1,807,490 2,891,984 3,614,980 5,783,968 7,229,960 11,567,936 14,459,920 28,919,840 57,839,680

Collatz Trajectory (70 steps to reach 1)

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

57,839,680 28,919,840 14,459,920 7,229,960 3,614,980 1,807,490 903,745 2,711,236 1,355,618 677,809 2,033,428 1,016,714 508,357 1,525,072 762,536 381,268 190,634 95,317 285,952 142,976 71,488 35,744 17,872 8,936 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

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