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Atlas › Integer Profiles › Node 76,353,915

76,353,915

3 × 5 × 11 × 359 × 1289
Deficient Odd Composite

76,353,915 factors as 3 × 5 × 11 × 359 × 1289. Its 32 positive divisors give a proper-divisor sum of 57,393,285, so this integer is deficient. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 359 × 1289
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 133,747,200
Proper Divisor Sum 57,393,285
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #76353889 ← → #76353917

Radix Representation

Decimal 76353915
Binary 100100011010001000101111011 (27 bits)
Octal 0o443210573
Hexadecimal 0x48D117B

Divisor Catalog (32)

1 3 5 11 15 33 55 165 359 1,077 1,289 1,795 3,867 3,949 5,385 6,445 11,847 14,179 19,335 19,745 42,537 59,235 70,895 212,685 462,751 1,388,253 2,313,755 5,090,261 6,941,265 15,270,783 25,451,305 76,353,915

Collatz Trajectory (228 steps to reach 1)

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

76,353,915 229,061,746 114,530,873 343,592,620 171,796,310 85,898,155 257,694,466 128,847,233 386,541,700 193,270,850 96,635,425 289,906,276 144,953,138 72,476,569 217,429,708 108,714,854 54,357,427 163,072,282 81,536,141 244,608,424 122,304,212 61,152,106 30,576,053 91,728,160 45,864,080 22,932,040 11,466,020 5,733,010 2,866,505 8,599,516 4,299,758 2,149,879 6,449,638 3,224,819 9,674,458 4,837,229 14,511,688 7,255,844 3,627,922 1,813,961 5,441,884 2,720,942 1,360,471 4,081,414 2,040,707 6,122,122 3,061,061 9,183,184 4,591,592 2,295,796 1,147,898 573,949 1,721,848 860,924 430,462 215,231 645,694 322,847 968,542 484,271

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