7,679,757

3 × 37 × 43 × 1609

7,679,757 factors as 3 × 37 × 43 × 1609. Its 16 positive divisors give a proper-divisor sum of 3,087,923, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 3 × 37 × 43 × 1609

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,767,680

Proper Divisor Sum 3,087,923

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #7679747 ← → #7679761

Radix Representation

Decimal	7679757
Binary	11101010010111100001101 (23 bits)
Octal	0o35227415
Hexadecimal	0x752F0D

Divisor Catalog (16)

1 3 37 43 111 129 1,591 1,609 4,773 4,827 59,533 69,187 178,599 207,561 2,559,919 7,679,757

Collatz Trajectory (98 steps to reach 1)

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

7,679,757 23,039,272 11,519,636 5,759,818 2,879,909 8,639,728 4,319,864 2,159,932 1,079,966 539,983 1,619,950 809,975 2,429,926 1,214,963 3,644,890 1,822,445 5,467,336 2,733,668 1,366,834 683,417 2,050,252 1,025,126 512,563 1,537,690 768,845 2,306,536 1,153,268 576,634 288,317 864,952 432,476 216,238 108,119 324,358 162,179 486,538 243,269 729,808 364,904 182,452 91,226 45,613 136,840 68,420 34,210 17,105 51,316 25,658 12,829 38,488 19,244 9,622 4,811 14,434 7,217 21,652 10,826 5,413 16,240 8,120

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