76,359,218

2 × 13 × 23 × 127691

76,359,218 factors as 2 × 13 × 23 × 127691. Its 16 positive divisors give a proper-divisor sum of 52,354,318, so this integer is deficient. The Collatz stopping time is 272 steps.

Prime Factor Structure

Factorization String 2 × 13 × 23 × 127691

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 128,713,536

Proper Divisor Sum 52,354,318

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #76359211 ← → #76359263

Radix Representation

Decimal	76359218
Binary	100100011010010011000110010 (27 bits)
Octal	0o443223062
Hexadecimal	0x48D2632

Divisor Catalog (16)

1 2 13 23 26 46 299 598 127,691 255,382 1,659,983 2,936,893 3,319,966 5,873,786 38,179,609 76,359,218

Collatz Trajectory (272 steps to reach 1)

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

76,359,218 38,179,609 114,538,828 57,269,414 28,634,707 85,904,122 42,952,061 128,856,184 64,428,092 32,214,046 16,107,023 48,321,070 24,160,535 72,481,606 36,240,803 108,722,410 54,361,205 163,083,616 81,541,808 40,770,904 20,385,452 10,192,726 5,096,363 15,289,090 7,644,545 22,933,636 11,466,818 5,733,409 17,200,228 8,600,114 4,300,057 12,900,172 6,450,086 3,225,043 9,675,130 4,837,565 14,512,696 7,256,348 3,628,174 1,814,087 5,442,262 2,721,131 8,163,394 4,081,697 12,245,092 6,122,546 3,061,273 9,183,820 4,591,910 2,295,955 6,887,866 3,443,933 10,331,800 5,165,900 2,582,950 1,291,475 3,874,426 1,937,213 5,811,640 2,905,820

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