322,432

2⁷ × 11 × 229

322,432 is even and not a perfect square. Its factorization is 2^7 × 11 × 229 and its 32 divisors sum to 703,800.

Prime Factor Structure

Factorization String 2^7 × 11 × 229

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 703,800

Proper Divisor Sum 381,368

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #322429 ← → #322433

Radix Representation

Decimal	322432
Binary	1001110101110000000 (19 bits)
Octal	0o1165600
Hexadecimal	0x4EB80

Divisor Catalog (32)

1 2 4 8 11 16 22 32 44 64 88 128 176 229 352 458 704 916 1,408 1,832 2,519 3,664 5,038 7,328 10,076 14,656 20,152 29,312 40,304 80,608 161,216 322,432

Collatz Trajectory (91 steps to reach 1)

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

322,432 161,216 80,608 40,304 20,152 10,076 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 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 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344

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