λ
Prime Ledger

8,625,613

17 × 89 × 5701
Deficient Odd Composite

8,625,613 has the prime decomposition 17 × 89 × 5701. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 17 × 89 × 5701
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,237,240
Proper Divisor Sum 611,627
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8625599 ← → #8625637

Radix Representation

Decimal 8625613
Binary 100000111001110111001101 (24 bits)
Octal 0o40716715
Hexadecimal 0x839DCD

Divisor Catalog (8)

1 17 89 1,513 5,701 96,917 507,389 8,625,613

Collatz Trajectory (106 steps to reach 1)

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

8,625,613 25,876,840 12,938,420 6,469,210 3,234,605 9,703,816 4,851,908 2,425,954 1,212,977 3,638,932 1,819,466 909,733 2,729,200 1,364,600 682,300 341,150 170,575 511,726 255,863 767,590 383,795 1,151,386 575,693 1,727,080 863,540 431,770 215,885 647,656 323,828 161,914 80,957 242,872 121,436 60,718 30,359 91,078 45,539 136,618 68,309 204,928 102,464 51,232 25,616 12,808 6,404 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254

More profiles

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