67,017,320

2³ × 5 × 193 × 8681

67,017,320 factors as 2^3 × 5 × 193 × 8681. Its 32 positive divisors give a proper-divisor sum of 84,570,400, so this integer is abundant. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 193 × 8681

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 151,587,720

Proper Divisor Sum 84,570,400

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #67017311 ← → #67017361

Radix Representation

Decimal	67017320
Binary	11111111101001101001101000 (26 bits)
Octal	0o377515150
Hexadecimal	0x3FE9A68

Divisor Catalog (32)

Collatz Trajectory (171 steps to reach 1)

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

67,017,320 33,508,660 16,754,330 8,377,165 25,131,496 12,565,748 6,282,874 3,141,437 9,424,312 4,712,156 2,356,078 1,178,039 3,534,118 1,767,059 5,301,178 2,650,589 7,951,768 3,975,884 1,987,942 993,971 2,981,914 1,490,957 4,472,872 2,236,436 1,118,218 559,109 1,677,328 838,664 419,332 209,666 104,833 314,500 157,250 78,625 235,876 117,938 58,969 176,908 88,454 44,227 132,682 66,341 199,024 99,512 49,756 24,878 12,439 37,318 18,659 55,978 27,989 83,968 41,984 20,992 10,496 5,248 2,624 1,312 656 328

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