76,359,213

3³ × 7 × 404017

76,359,213 factors as 3^3 × 7 × 404017. Its 16 positive divisors give a proper-divisor sum of 52,926,547, so this integer is deficient. The Collatz stopping time is 272 steps.

Prime Factor Structure

Factorization String 3^3 × 7 × 404017

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 129,285,760

Proper Divisor Sum 52,926,547

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #76359211 ← → #76359263

Radix Representation

Decimal	76359213
Binary	100100011010010011000101101 (27 bits)
Octal	0o443223055
Hexadecimal	0x48D262D

Divisor Catalog (16)

1 3 7 9 21 27 63 189 404,017 1,212,051 2,828,119 3,636,153 8,484,357 10,908,459 25,453,071 76,359,213

Collatz Trajectory (272 steps to reach 1)

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

76,359,213 229,077,640 114,538,820 57,269,410 28,634,705 85,904,116 42,952,058 21,476,029 64,428,088 32,214,044 16,107,022 8,053,511 24,160,534 12,080,267 36,240,802 18,120,401 54,361,204 27,180,602 13,590,301 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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