7,681,340

2² × 5 × 384067

7,681,340 factors as 2^2 × 5 × 384067. Its 12 positive divisors give a proper-divisor sum of 8,449,516, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 384067

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,130,856

Proper Divisor Sum 8,449,516

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7681337 ← → #7681357

Radix Representation

Decimal	7681340
Binary	11101010011010100111100 (23 bits)
Octal	0o35232474
Hexadecimal	0x75353C

Divisor Catalog (12)

1 2 4 5 10 20 384,067 768,134 1,536,268 1,920,335 3,840,670 7,681,340

Collatz Trajectory (124 steps to reach 1)

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

7,681,340 3,840,670 1,920,335 5,761,006 2,880,503 8,641,510 4,320,755 12,962,266 6,481,133 19,443,400 9,721,700 4,860,850 2,430,425 7,291,276 3,645,638 1,822,819 5,468,458 2,734,229 8,202,688 4,101,344 2,050,672 1,025,336 512,668 256,334 128,167 384,502 192,251 576,754 288,377 865,132 432,566 216,283 648,850 324,425 973,276 486,638 243,319 729,958 364,979 1,094,938 547,469 1,642,408 821,204 410,602 205,301 615,904 307,952 153,976 76,988 38,494 19,247 57,742 28,871 86,614 43,307 129,922 64,961 194,884 97,442 48,721

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