3,680,976

2⁴ × 3 × 13 × 17 × 347

3,680,976 factors as 2^4 × 3 × 13 × 17 × 347. Its 80 positive divisors give a proper-divisor sum of 7,193,328, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 17 × 347

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 10,874,304

Proper Divisor Sum 7,193,328

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3680953 ← → #3680983

Radix Representation

Decimal	3680976
Binary	1110000010101011010000 (22 bits)
Octal	0o16025320
Hexadecimal	0x382AD0

Divisor Catalog (60 of 80)

1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 347 408 442 624 663 694 816 884 1,041 1,326 1,388 1,768 2,082 2,652 2,776 3,536 4,164 4,511 5,304 5,552 5,899 8,328 9,022 10,608 11,798 13,533 16,656 17,697 18,044 23,596 27,066 35,394

Collatz Trajectory (141 steps to reach 1)

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

3,680,976 1,840,488 920,244 460,122 230,061 690,184 345,092 172,546 86,273 258,820 129,410 64,705 194,116 97,058 48,529 145,588 72,794 36,397 109,192 54,596 27,298 13,649 40,948 20,474 10,237 30,712 15,356 7,678 3,839 11,518 5,759 17,278 8,639 25,918 12,959 38,878 19,439 58,318 29,159 87,478 43,739 131,218 65,609 196,828 98,414 49,207 147,622 73,811 221,434 110,717 332,152 166,076 83,038 41,519 124,558 62,279 186,838 93,419 280,258 140,129

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