7,681,216

2⁶ × 257 × 467

7,681,216 factors as 2^6 × 257 × 467. Its 28 positive divisors give a proper-divisor sum of 7,653,272, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^6 × 257 × 467

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 15,334,488

Proper Divisor Sum 7,653,272

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7681213 ← → #7681231

Radix Representation

Decimal	7681216
Binary	11101010011010011000000 (23 bits)
Octal	0o35232300
Hexadecimal	0x7534C0

Divisor Catalog (28)

1 2 4 8 16 32 64 257 467 514 934 1,028 1,868 2,056 3,736 4,112 7,472 8,224 14,944 16,448 29,888 120,019 240,038 480,076 960,152 1,920,304 3,840,608 7,681,216

Collatz Trajectory (173 steps to reach 1)

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

7,681,216 3,840,608 1,920,304 960,152 480,076 240,038 120,019 360,058 180,029 540,088 270,044 135,022 67,511 202,534 101,267 303,802 151,901 455,704 227,852 113,926 56,963 170,890 85,445 256,336 128,168 64,084 32,042 16,021 48,064 24,032 12,016 6,008 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134

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