3,678,876

2² × 3² × 102191

3,678,876 factors as 2^2 × 3^2 × 102191. Its 18 positive divisors give a proper-divisor sum of 5,620,596, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 102191

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 9,299,472

Proper Divisor Sum 5,620,596

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3678869 ← → #3678877

Radix Representation

Decimal	3678876
Binary	1110000010001010011100 (22 bits)
Octal	0o16021234
Hexadecimal	0x38229C

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 102,191 204,382 306,573 408,764 613,146 919,719 1,226,292 1,839,438 3,678,876

Collatz Trajectory (97 steps to reach 1)

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

3,678,876 1,839,438 919,719 2,759,158 1,379,579 4,138,738 2,069,369 6,208,108 3,104,054 1,552,027 4,656,082 2,328,041 6,984,124 3,492,062 1,746,031 5,238,094 2,619,047 7,857,142 3,928,571 11,785,714 5,892,857 17,678,572 8,839,286 4,419,643 13,258,930 6,629,465 19,888,396 9,944,198 4,972,099 14,916,298 7,458,149 22,374,448 11,187,224 5,593,612 2,796,806 1,398,403 4,195,210 2,097,605 6,292,816 3,146,408 1,573,204 786,602 393,301 1,179,904 589,952 294,976 147,488 73,744 36,872 18,436 9,218 4,609 13,828 6,914 3,457 10,372 5,186 2,593 7,780 3,890

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