252,743

31² × 263

252,743 factors as 31^2 × 263. Its 6 positive divisors give a proper-divisor sum of 9,409, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 31^2 × 263

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 262,152

Proper Divisor Sum 9,409

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #252737 ← → #252761

Radix Representation

Decimal	252743
Binary	111101101101000111 (18 bits)
Octal	0o755507
Hexadecimal	0x3DB47

Divisor Catalog (6)

1 31 263 961 8,153 252,743

Collatz Trajectory (88 steps to reach 1)

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

252,743 758,230 379,115 1,137,346 568,673 1,706,020 853,010 426,505 1,279,516 639,758 319,879 959,638 479,819 1,439,458 719,729 2,159,188 1,079,594 539,797 1,619,392 809,696 404,848 202,424 101,212 50,606 25,303 75,910 37,955 113,866 56,933 170,800 85,400 42,700 21,350 10,675 32,026 16,013 48,040 24,020 12,010 6,005 18,016 9,008 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269

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