999,804

2² × 3 × 13² × 17 × 29

999,804 factors as 2^2 × 3 × 13^2 × 17 × 29. Its 72 positive divisors give a proper-divisor sum of 1,767,156, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 13^2 × 17 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 2,766,960

Proper Divisor Sum 1,767,156

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #999773 ← → #999809

Radix Representation

Decimal	999804
Binary	11110100000101111100 (20 bits)
Octal	0o3640574
Hexadecimal	0xF417C

Divisor Catalog (60 of 72)

1 2 3 4 6 12 13 17 26 29 34 39 51 52 58 68 78 87 102 116 156 169 174 204 221 338 348 377 442 493 507 663 676 754 884 986 1,014 1,131 1,326 1,479 1,508 1,972 2,028 2,262 2,652 2,873 2,958 4,524 4,901 5,746 5,916 6,409 8,619 9,802 11,492 12,818 14,703 17,238 19,227 19,604

Collatz Trajectory (113 steps to reach 1)

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

999,804 499,902 249,951 749,854 374,927 1,124,782 562,391 1,687,174 843,587 2,530,762 1,265,381 3,796,144 1,898,072 949,036 474,518 237,259 711,778 355,889 1,067,668 533,834 266,917 800,752 400,376 200,188 100,094 50,047 150,142 75,071 225,214 112,607 337,822 168,911 506,734 253,367 760,102 380,051 1,140,154 570,077 1,710,232 855,116 427,558 213,779 641,338 320,669 962,008 481,004 240,502 120,251 360,754 180,377 541,132 270,566 135,283 405,850 202,925 608,776 304,388 152,194 76,097 228,292

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