λ
Prime Ledger

8,635,471

13 × 157 × 4231
Deficient Odd Composite

8,635,471 has the prime decomposition 13 × 157 × 4231. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 157 × 4231
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,361,184
Proper Divisor Sum 725,713
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8635469 ← → #8635477

Radix Representation

Decimal 8635471
Binary 100000111100010001001111 (24 bits)
Octal 0o40742117
Hexadecimal 0x83C44F

Divisor Catalog (8)

1 13 157 2,041 4,231 55,003 664,267 8,635,471

Collatz Trajectory (168 steps to reach 1)

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

8,635,471 25,906,414 12,953,207 38,859,622 19,429,811 58,289,434 29,144,717 87,434,152 43,717,076 21,858,538 10,929,269 32,787,808 16,393,904 8,196,952 4,098,476 2,049,238 1,024,619 3,073,858 1,536,929 4,610,788 2,305,394 1,152,697 3,458,092 1,729,046 864,523 2,593,570 1,296,785 3,890,356 1,945,178 972,589 2,917,768 1,458,884 729,442 364,721 1,094,164 547,082 273,541 820,624 410,312 205,156 102,578 51,289 153,868 76,934 38,467 115,402 57,701 173,104 86,552 43,276 21,638 10,819 32,458 16,229 48,688 24,344 12,172 6,086 3,043 9,130

More profiles

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