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59,348,560

24 × 5 × 741857
Abundant Even Composite

59,348,560 factors as 2^4 × 5 × 741857. Its 20 positive divisors give a proper-divisor sum of 78,637,028, so this integer is abundant. The Collatz stopping time is 57 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 741857
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 137,985,588
Proper Divisor Sum 78,637,028
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #59348543 ← → #59348593

Radix Representation

Decimal 59348560
Binary 11100010011001011001010000 (26 bits)
Octal 0o342313120
Hexadecimal 0x3899650

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 741,857 1,483,714 2,967,428 3,709,285 5,934,856 7,418,570 11,869,712 14,837,140 29,674,280 59,348,560

Collatz Trajectory (57 steps to reach 1)

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

59,348,560 29,674,280 14,837,140 7,418,570 3,709,285 11,127,856 5,563,928 2,781,964 1,390,982 695,491 2,086,474 1,043,237 3,129,712 1,564,856 782,428 391,214 195,607 586,822 293,411 880,234 440,117 1,320,352 660,176 330,088 165,044 82,522 41,261 123,784 61,892 30,946 15,473 46,420 23,210 11,605 34,816 17,408 8,704 4,352 2,176 1,088 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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