201,432

2³ × 3 × 7 × 11 × 109

201,432 has the prime decomposition 2^3 × 3 × 7 × 11 × 109. Its 5 distinct prime factors produce 64 positive divisors.

Prime Factor Structure

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

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 633,600

Proper Divisor Sum 432,168

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #201413 ← → #201437

Radix Representation

Decimal	201432
Binary	110001001011011000 (18 bits)
Octal	0o611330
Hexadecimal	0x312D8

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 109 132 154 168 218 231 264 308 327 436 462 616 654 763 872 924 1,199 1,308 1,526 1,848 2,289 2,398 2,616 3,052 3,597 4,578 4,796 6,104 7,194 8,393 9,156 9,592 14,388 16,786 18,312 25,179 28,776 33,572

Collatz Trajectory (111 steps to reach 1)

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

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 1,282

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