67,027,660

2² × 5 × 7 × 478769

67,027,660 factors as 2^2 × 5 × 7 × 478769. Its 24 positive divisors give a proper-divisor sum of 93,839,060, so this integer is abundant. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 478769

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 160,866,720

Proper Divisor Sum 93,839,060

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #67027657 ← → #67027693

Radix Representation

Decimal	67027660
Binary	11111111101100001011001100 (26 bits)
Octal	0o377541314
Hexadecimal	0x3FEC2CC

Divisor Catalog (24)

Collatz Trajectory (83 steps to reach 1)

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

67,027,660 33,513,830 16,756,915 50,270,746 25,135,373 75,406,120 37,703,060 18,851,530 9,425,765 28,277,296 14,138,648 7,069,324 3,534,662 1,767,331 5,301,994 2,650,997 7,952,992 3,976,496 1,988,248 994,124 497,062 248,531 745,594 372,797 1,118,392 559,196 279,598 139,799 419,398 209,699 629,098 314,549 943,648 471,824 235,912 117,956 58,978 29,489 88,468 44,234 22,117 66,352 33,176 16,588 8,294 4,147 12,442 6,221 18,664 9,332 4,666 2,333 7,000 3,500 1,750 875 2,626 1,313 3,940 1,970

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