712,253

19² × 1973

712,253 factors as 19^2 × 1973. Its 6 positive divisors give a proper-divisor sum of 39,841, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 19^2 × 1973

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 752,094

Proper Divisor Sum 39,841

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #712237 ← → #712279

Radix Representation

Decimal	712253
Binary	10101101111000111101 (20 bits)
Octal	0o2557075
Hexadecimal	0xADE3D

Divisor Catalog (6)

1 19 361 1,973 37,487 712,253

Collatz Trajectory (123 steps to reach 1)

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

712,253 2,136,760 1,068,380 534,190 267,095 801,286 400,643 1,201,930 600,965 1,802,896 901,448 450,724 225,362 112,681 338,044 169,022 84,511 253,534 126,767 380,302 190,151 570,454 285,227 855,682 427,841 1,283,524 641,762 320,881 962,644 481,322 240,661 721,984 360,992 180,496 90,248 45,124 22,562 11,281 33,844 16,922 8,461 25,384 12,692 6,346 3,173 9,520 4,760 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755

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