624,952

2³ × 191 × 409

624,952 factors as 2^3 × 191 × 409. Its 16 positive divisors give a proper-divisor sum of 555,848, so this integer is deficient. The Collatz stopping time is 278 steps.

Prime Factor Structure

Factorization String 2^3 × 191 × 409

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,180,800

Proper Divisor Sum 555,848

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #624917 ← → #624961

Radix Representation

Decimal	624952
Binary	10011000100100111000 (20 bits)
Octal	0o2304470
Hexadecimal	0x98938

Divisor Catalog (16)

1 2 4 8 191 382 409 764 818 1,528 1,636 3,272 78,119 156,238 312,476 624,952

Collatz Trajectory (278 steps to reach 1)

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

624,952 312,476 156,238 78,119 234,358 117,179 351,538 175,769 527,308 263,654 131,827 395,482 197,741 593,224 296,612 148,306 74,153 222,460 111,230 55,615 166,846 83,423 250,270 125,135 375,406 187,703 563,110 281,555 844,666 422,333 1,267,000 633,500 316,750 158,375 475,126 237,563 712,690 356,345 1,069,036 534,518 267,259 801,778 400,889 1,202,668 601,334 300,667 902,002 451,001 1,353,004 676,502 338,251 1,014,754 507,377 1,522,132 761,066 380,533 1,141,600 570,800 285,400 142,700

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