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912,132

22 × 32 × 13 × 1949
Abundant Even Composite

912,132 factors as 2^2 × 3^2 × 13 × 1949. Its 36 positive divisors give a proper-divisor sum of 1,572,168, so this integer is abundant. The Collatz stopping time is 56 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 1949
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 2,484,300
Proper Divisor Sum 1,572,168
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #912103 ← → #912167

Radix Representation

Decimal 912132
Binary 11011110101100000100 (20 bits)
Octal 0o3365404
Hexadecimal 0xDEB04

Divisor Catalog (36)

1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1,949 3,898 5,847 7,796 11,694 17,541 23,388 25,337 35,082 50,674 70,164 76,011 101,348 152,022 228,033 304,044 456,066 912,132

Collatz Trajectory (56 steps to reach 1)

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

912,132 456,066 228,033 684,100 342,050 171,025 513,076 256,538 128,269 384,808 192,404 96,202 48,101 144,304 72,152 36,076 18,038 9,019 27,058 13,529 40,588 20,294 10,147 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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