623,469

3 × 7 × 11 × 2699

623,469 factors as 3 × 7 × 11 × 2699. Its 16 positive divisors give a proper-divisor sum of 413,331, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 2699

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,036,800

Proper Divisor Sum 413,331

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #623437 ← → #623477

Radix Representation

Decimal	623469
Binary	10011000001101101101 (20 bits)
Octal	0o2301555
Hexadecimal	0x9836D

Divisor Catalog (16)

1 3 7 11 21 33 77 231 2,699 8,097 18,893 29,689 56,679 89,067 207,823 623,469

Collatz Trajectory (172 steps to reach 1)

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

623,469 1,870,408 935,204 467,602 233,801 701,404 350,702 175,351 526,054 263,027 789,082 394,541 1,183,624 591,812 295,906 147,953 443,860 221,930 110,965 332,896 166,448 83,224 41,612 20,806 10,403 31,210 15,605 46,816 23,408 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661

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