625,424

2⁴ × 39089

625,424 has digital root 5. The neighboring primes are 625409 and 625451; its proper-divisor sum differs from the starting integer by -39,058.

Prime Factor Structure

Factorization String 2^4 × 39089

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 1,211,790

Proper Divisor Sum 586,366

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #625409 ← → #625451

Radix Representation

Decimal	625424
Binary	10011000101100010000 (20 bits)
Octal	0o2305420
Hexadecimal	0x98B10

Divisor Catalog (10)

1 2 4 8 16 39,089 78,178 156,356 312,712 625,424

Collatz Trajectory (110 steps to reach 1)

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

625,424 312,712 156,356 78,178 39,089 117,268 58,634 29,317 87,952 43,976 21,988 10,994 5,497 16,492 8,246 4,123 12,370 6,185 18,556 9,278 4,639 13,918 6,959 20,878 10,439 31,318 15,659 46,978 23,489 70,468 35,234 17,617 52,852 26,426 13,213 39,640 19,820 9,910 4,955 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970

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