402,864

2⁴ × 3 × 7 × 11 × 109

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 11 × 109

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,309,440

Proper Divisor Sum 906,576

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #402863 ← → #402869

Radix Representation

Decimal	402864
Binary	1100010010110110000 (19 bits)
Octal	0o1422660
Hexadecimal	0x625B0

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 109 112 132 154 168 176 218 231 264 308 327 336 436 462 528 616 654 763 872 924 1,199 1,232 1,308 1,526 1,744 1,848 2,289 2,398 2,616 3,052 3,597 3,696 4,578 4,796 5,232 6,104

Collatz Trajectory (112 steps to reach 1)

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

402,864 201,432 100,716 50,358 25,179 75,538 37,769 113,308 56,654 28,327 84,982 42,491 127,474 63,737 191,212 95,606 47,803 143,410 71,705 215,116 107,558 53,779 161,338 80,669 242,008 121,004 60,502 30,251 90,754 45,377 136,132 68,066 34,033 102,100 51,050 25,525 76,576 38,288 19,144 9,572 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427

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