625,928

2³ × 78241

625,928 factors as 2^3 × 78241. Its 8 positive divisors give a proper-divisor sum of 547,702, so this integer is deficient. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^3 × 78241

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,173,630

Proper Divisor Sum 547,702

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #625927 ← → #625939

Radix Representation

Decimal	625928
Binary	10011000110100001000 (20 bits)
Octal	0o2306410
Hexadecimal	0x98D08

Divisor Catalog (8)

1 2 4 8 78,241 156,482 312,964 625,928

Collatz Trajectory (84 steps to reach 1)

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

625,928 312,964 156,482 78,241 234,724 117,362 58,681 176,044 88,022 44,011 132,034 66,017 198,052 99,026 49,513 148,540 74,270 37,135 111,406 55,703 167,110 83,555 250,666 125,333 376,000 188,000 94,000 47,000 23,500 11,750 5,875 17,626 8,813 26,440 13,220 6,610 3,305 9,916 4,958 2,479 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976

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