λ
Prime Ledger

625,016

23 × 7 × 11161
Abundant Even Composite

625,016 has the prime decomposition 2^3 × 7 × 11161. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 11161
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,339,440
Proper Divisor Sum 714,424
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #625007 ← → #625033

Radix Representation

Decimal 625016
Binary 10011000100101111000 (20 bits)
Octal 0o2304570
Hexadecimal 0x98978

Divisor Catalog (16)

1 2 4 7 8 14 28 56 11,161 22,322 44,644 78,127 89,288 156,254 312,508 625,016

Collatz Trajectory (159 steps to reach 1)

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

625,016 312,508 156,254 78,127 234,382 117,191 351,574 175,787 527,362 263,681 791,044 395,522 197,761 593,284 296,642 148,321 444,964 222,482 111,241 333,724 166,862 83,431 250,294 125,147 375,442 187,721 563,164 281,582 140,791 422,374 211,187 633,562 316,781 950,344 475,172 237,586 118,793 356,380 178,190 89,095 267,286 133,643 400,930 200,465 601,396 300,698 150,349 451,048 225,524 112,762 56,381 169,144 84,572 42,286 21,143 63,430 31,715 95,146 47,573 142,720

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