3,678,020

2² × 5 × 19 × 9679

3,678,020 factors as 2^2 × 5 × 19 × 9679. Its 24 positive divisors give a proper-divisor sum of 4,453,180, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 19 × 9679

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,131,200

Proper Divisor Sum 4,453,180

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3678011 ← → #3678023

Radix Representation

Decimal	3678020
Binary	1110000001111101000100 (22 bits)
Octal	0o16017504
Hexadecimal	0x381F44

Divisor Catalog (24)

Collatz Trajectory (159 steps to reach 1)

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

3,678,020 1,839,010 919,505 2,758,516 1,379,258 689,629 2,068,888 1,034,444 517,222 258,611 775,834 387,917 1,163,752 581,876 290,938 145,469 436,408 218,204 109,102 54,551 163,654 81,827 245,482 122,741 368,224 184,112 92,056 46,028 23,014 11,507 34,522 17,261 51,784 25,892 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097 12,292 6,146 3,073 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892

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