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902,187

32 × 11 × 13 × 701
Deficient Odd Composite

902,187 factors as 3^2 × 11 × 13 × 701. Its 24 positive divisors give a proper-divisor sum of 630,981, so this integer is deficient. The Collatz stopping time is 69 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 13 × 701
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,533,168
Proper Divisor Sum 630,981
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #902179 ← → #902191

Radix Representation

Decimal 902187
Binary 11011100010000101011 (20 bits)
Octal 0o3342053
Hexadecimal 0xDC42B

Divisor Catalog (24)

1 3 9 11 13 33 39 99 117 143 429 701 1,287 2,103 6,309 7,711 9,113 23,133 27,339 69,399 82,017 100,243 300,729 902,187

Collatz Trajectory (69 steps to reach 1)

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

902,187 2,706,562 1,353,281 4,059,844 2,029,922 1,014,961 3,044,884 1,522,442 761,221 2,283,664 1,141,832 570,916 285,458 142,729 428,188 214,094 107,047 321,142 160,571 481,714 240,857 722,572 361,286 180,643 541,930 270,965 812,896 406,448 203,224 101,612 50,806 25,403 76,210 38,105 114,316 57,158 28,579 85,738 42,869 128,608 64,304 32,152 16,076 8,038 4,019 12,058 6,029 18,088 9,044 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160

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