625,516

2² × 353 × 443

For 625,516, the 12 positive divisors have a total of 1,100,232. Removing 625,516 leaves 474,716, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 353 × 443

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,100,232

Proper Divisor Sum 474,716

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #625507 ← → #625517

Radix Representation

Decimal	625516
Binary	10011000101101101100 (20 bits)
Octal	0o2305554
Hexadecimal	0x98B6C

Divisor Catalog (12)

1 2 4 353 443 706 886 1,412 1,772 156,379 312,758 625,516

Collatz Trajectory (185 steps to reach 1)

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

625,516 312,758 156,379 469,138 234,569 703,708 351,854 175,927 527,782 263,891 791,674 395,837 1,187,512 593,756 296,878 148,439 445,318 222,659 667,978 333,989 1,001,968 500,984 250,492 125,246 62,623 187,870 93,935 281,806 140,903 422,710 211,355 634,066 317,033 951,100 475,550 237,775 713,326 356,663 1,069,990 534,995 1,604,986 802,493 2,407,480 1,203,740 601,870 300,935 902,806 451,403 1,354,210 677,105 2,031,316 1,015,658 507,829 1,523,488 761,744 380,872 190,436 95,218 47,609 142,828

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