λ
Prime Ledger

8,566,155

34 × 5 × 13 × 1627
Deficient Odd Composite

8,566,155 has the prime decomposition 3^4 × 5 × 13 × 1627. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 5 × 13 × 1627
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 16,546,992
Proper Divisor Sum 7,980,837
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8566123 ← → #8566157

Radix Representation

Decimal 8566155
Binary 100000101011010110001011 (24 bits)
Octal 0o40532613
Hexadecimal 0x82B58B

Divisor Catalog (40)

1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 1,053 1,627 1,755 4,881 5,265 8,135 14,643 21,151 24,405 43,929 63,453 73,215 105,755 131,787 190,359 219,645 317,265 571,077 658,935 951,795 1,713,231 2,855,385 8,566,155

Collatz Trajectory (124 steps to reach 1)

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

8,566,155 25,698,466 12,849,233 38,547,700 19,273,850 9,636,925 28,910,776 14,455,388 7,227,694 3,613,847 10,841,542 5,420,771 16,262,314 8,131,157 24,393,472 12,196,736 6,098,368 3,049,184 1,524,592 762,296 381,148 190,574 95,287 285,862 142,931 428,794 214,397 643,192 321,596 160,798 80,399 241,198 120,599 361,798 180,899 542,698 271,349 814,048 407,024 203,512 101,756 50,878 25,439 76,318 38,159 114,478 57,239 171,718 85,859 257,578 128,789 386,368 193,184 96,592 48,296 24,148 12,074 6,037 18,112 9,056

More profiles

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