λ
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Atlas › Integer Profiles › Node 76,332,012

76,332,012

22 × 3 × 73 × 79 × 1103
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 73 × 79 × 1103
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 182,999,040
Proper Divisor Sum 106,667,028
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #76331971 ← → #76332043

Radix Representation

Decimal 76332012
Binary 100100011001011101111101100 (27 bits)
Octal 0o443135754
Hexadecimal 0x48CBBEC

Divisor Catalog (48)

1 2 3 4 6 12 73 79 146 158 219 237 292 316 438 474 876 948 1,103 2,206 3,309 4,412 5,767 6,618 11,534 13,236 17,301 23,068 34,602 69,204 80,519 87,137 161,038 174,274 241,557 261,411 322,076 348,548 483,114 522,822 966,228 1,045,644 6,361,001 12,722,002 19,083,003 25,444,004 38,166,006 76,332,012

Collatz Trajectory (148 steps to reach 1)

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

76,332,012 38,166,006 19,083,003 57,249,010 28,624,505 85,873,516 42,936,758 21,468,379 64,405,138 32,202,569 96,607,708 48,303,854 24,151,927 72,455,782 36,227,891 108,683,674 54,341,837 163,025,512 81,512,756 40,756,378 20,378,189 61,134,568 30,567,284 15,283,642 7,641,821 22,925,464 11,462,732 5,731,366 2,865,683 8,597,050 4,298,525 12,895,576 6,447,788 3,223,894 1,611,947 4,835,842 2,417,921 7,253,764 3,626,882 1,813,441 5,440,324 2,720,162 1,360,081 4,080,244 2,040,122 1,020,061 3,060,184 1,530,092 765,046 382,523 1,147,570 573,785 1,721,356 860,678 430,339 1,291,018 645,509 1,936,528 968,264 484,132

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