67,087,624

2³ × 293 × 28621

67,087,624 factors as 2^3 × 293 × 28621. Its 16 positive divisors give a proper-divisor sum of 59,135,396, so this integer is deficient. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2^3 × 293 × 28621

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 126,223,020

Proper Divisor Sum 59,135,396

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #67087591 ← → #67087637

Radix Representation

Decimal	67087624
Binary	11111111111010110100001000 (26 bits)
Octal	0o377726410
Hexadecimal	0x3FFAD08

Divisor Catalog (16)

1 2 4 8 293 586 1,172 2,344 28,621 57,242 114,484 228,968 8,385,953 16,771,906 33,543,812 67,087,624

Collatz Trajectory (83 steps to reach 1)

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

67,087,624 33,543,812 16,771,906 8,385,953 25,157,860 12,578,930 6,289,465 18,868,396 9,434,198 4,717,099 14,151,298 7,075,649 21,226,948 10,613,474 5,306,737 15,920,212 7,960,106 3,980,053 11,940,160 5,970,080 2,985,040 1,492,520 746,260 373,130 186,565 559,696 279,848 139,924 69,962 34,981 104,944 52,472 26,236 13,118 6,559 19,678 9,839 29,518 14,759 44,278 22,139 66,418 33,209 99,628 49,814 24,907 74,722 37,361 112,084 56,042 28,021 84,064 42,032 21,016 10,508 5,254 2,627 7,882 3,941 11,824

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