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Atlas › Integer Profiles › Node 76,751,672

76,751,672

23 × 41 × 211 × 1109
Deficient Even Composite

Prime Factor Structure

Factorization String 2^3 × 41 × 211 × 1109
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 148,251,600
Proper Divisor Sum 71,499,928
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #76751671 ← → #76751681

Radix Representation

Decimal 76751672
Binary 100100100110010001100111000 (27 bits)
Octal 0o444621470
Hexadecimal 0x4932338

Divisor Catalog (32)

1 2 4 8 41 82 164 211 328 422 844 1,109 1,688 2,218 4,436 8,651 8,872 17,302 34,604 45,469 69,208 90,938 181,876 233,999 363,752 467,998 935,996 1,871,992 9,593,959 19,187,918 38,375,836 76,751,672

Collatz Trajectory (148 steps to reach 1)

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

76,751,672 38,375,836 19,187,918 9,593,959 28,781,878 14,390,939 43,172,818 21,586,409 64,759,228 32,379,614 16,189,807 48,569,422 24,284,711 72,854,134 36,427,067 109,281,202 54,640,601 163,921,804 81,960,902 40,980,451 122,941,354 61,470,677 184,412,032 92,206,016 46,103,008 23,051,504 11,525,752 5,762,876 2,881,438 1,440,719 4,322,158 2,161,079 6,483,238 3,241,619 9,724,858 4,862,429 14,587,288 7,293,644 3,646,822 1,823,411 5,470,234 2,735,117 8,205,352 4,102,676 2,051,338 1,025,669 3,077,008 1,538,504 769,252 384,626 192,313 576,940 288,470 144,235 432,706 216,353 649,060 324,530 162,265 486,796

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