76,695,857

7 × 17 × 37 × 17419

76,695,857 factors as 7 × 17 × 37 × 17419. Its 16 positive divisors give a proper-divisor sum of 18,626,383, so this integer is deficient. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 7 × 17 × 37 × 17419

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 95,322,240

Proper Divisor Sum 18,626,383

Digit Sum / Digital Root 53 (Root: 8)

Adjacent Primes #76695851 ← → #76695881

Radix Representation

Decimal	76695857
Binary	100100100100100100100110001 (27 bits)
Octal	0o444444461
Hexadecimal	0x4924931

Divisor Catalog (16)

1 7 17 37 119 259 629 4,403 17,419 121,933 296,123 644,503 2,072,861 4,511,521 10,956,551 76,695,857

Collatz Trajectory (96 steps to reach 1)

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

76,695,857 230,087,572 115,043,786 57,521,893 172,565,680 86,282,840 43,141,420 21,570,710 10,785,355 32,356,066 16,178,033 48,534,100 24,267,050 12,133,525 36,400,576 18,200,288 9,100,144 4,550,072 2,275,036 1,137,518 568,759 1,706,278 853,139 2,559,418 1,279,709 3,839,128 1,919,564 959,782 479,891 1,439,674 719,837 2,159,512 1,079,756 539,878 269,939 809,818 404,909 1,214,728 607,364 303,682 151,841 455,524 227,762 113,881 341,644 170,822 85,411 256,234 128,117 384,352 192,176 96,088 48,044 24,022 12,011 36,034 18,017 54,052 27,026 13,513

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