λ
Prime Ledger

8,575,624

23 × 61 × 17573
Deficient Even Composite

8,575,624 has the prime decomposition 2^3 × 61 × 17573. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 61 × 17573
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,343,820
Proper Divisor Sum 7,768,196
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8575613 ← → #8575627

Radix Representation

Decimal 8575624
Binary 100000101101101010001000 (24 bits)
Octal 0o40555210
Hexadecimal 0x82DA88

Divisor Catalog (16)

1 2 4 8 61 122 244 488 17,573 35,146 70,292 140,584 1,071,953 2,143,906 4,287,812 8,575,624

Collatz Trajectory (75 steps to reach 1)

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

8,575,624 4,287,812 2,143,906 1,071,953 3,215,860 1,607,930 803,965 2,411,896 1,205,948 602,974 301,487 904,462 452,231 1,356,694 678,347 2,035,042 1,017,521 3,052,564 1,526,282 763,141 2,289,424 1,144,712 572,356 286,178 143,089 429,268 214,634 107,317 321,952 160,976 80,488 40,244 20,122 10,061 30,184 15,092 7,546 3,773 11,320 5,660 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56 28 14 7

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