356,328

2³ × 3² × 7² × 101

356,328 has the prime decomposition 2^3 × 3^2 × 7^2 × 101. Its 4 distinct prime factors produce 72 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7^2 × 101

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,133,730

Proper Divisor Sum 777,402

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #356327 ← → #356333

Radix Representation

Decimal	356328
Binary	1010110111111101000 (19 bits)
Octal	0o1267750
Hexadecimal	0x56FE8

Divisor Catalog (60 of 72)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 101 126 147 168 196 202 252 294 303 392 404 441 504 588 606 707 808 882 909 1,176 1,212 1,414 1,764 1,818 2,121 2,424 2,828 3,528 3,636 4,242 4,949 5,656 6,363 7,272 8,484 9,898 12,726 14,847

Collatz Trajectory (241 steps to reach 1)

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

356,328 178,164 89,082 44,541 133,624 66,812 33,406 16,703 50,110 25,055 75,166 37,583 112,750 56,375 169,126 84,563 253,690 126,845 380,536 190,268 95,134 47,567 142,702 71,351 214,054 107,027 321,082 160,541 481,624 240,812 120,406 60,203 180,610 90,305 270,916 135,458 67,729 203,188 101,594 50,797 152,392 76,196 38,098 19,049 57,148 28,574 14,287 42,862 21,431 64,294 32,147 96,442 48,221 144,664 72,332 36,166 18,083 54,250 27,125 81,376

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