625,136

2⁴ × 89 × 439

625,136 factors as 2^4 × 89 × 439. Its 20 positive divisors give a proper-divisor sum of 602,464, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^4 × 89 × 439

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,227,600

Proper Divisor Sum 602,464

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #625133 ← → #625169

Radix Representation

Decimal	625136
Binary	10011000100111110000 (20 bits)
Octal	0o2304760
Hexadecimal	0x989F0

Divisor Catalog (20)

1 2 4 8 16 89 178 356 439 712 878 1,424 1,756 3,512 7,024 39,071 78,142 156,284 312,568 625,136

Collatz Trajectory (172 steps to reach 1)

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

625,136 312,568 156,284 78,142 39,071 117,214 58,607 175,822 87,911 263,734 131,867 395,602 197,801 593,404 296,702 148,351 445,054 222,527 667,582 333,791 1,001,374 500,687 1,502,062 751,031 2,253,094 1,126,547 3,379,642 1,689,821 5,069,464 2,534,732 1,267,366 633,683 1,901,050 950,525 2,851,576 1,425,788 712,894 356,447 1,069,342 534,671 1,604,014 802,007 2,406,022 1,203,011 3,609,034 1,804,517 5,413,552 2,706,776 1,353,388 676,694 338,347 1,015,042 507,521 1,522,564 761,282 380,641 1,141,924 570,962 285,481 856,444

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