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5,454,438

2 × 3 × 113 × 683
Abundant Even Composite

5,454,438 factors as 2 × 3 × 11^3 × 683. Its 32 positive divisors give a proper-divisor sum of 6,562,074, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11^3 × 683
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,016,512
Proper Divisor Sum 6,562,074
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5454431 ← → #5454439

Radix Representation

Decimal 5454438
Binary 10100110011101001100110 (23 bits)
Octal 0o24635146
Hexadecimal 0x533A66

Divisor Catalog (32)

1 2 3 6 11 22 33 66 121 242 363 683 726 1,331 1,366 2,049 2,662 3,993 4,098 7,513 7,986 15,026 22,539 45,078 82,643 165,286 247,929 495,858 909,073 1,818,146 2,727,219 5,454,438

Collatz Trajectory (113 steps to reach 1)

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

5,454,438 2,727,219 8,181,658 4,090,829 12,272,488 6,136,244 3,068,122 1,534,061 4,602,184 2,301,092 1,150,546 575,273 1,725,820 862,910 431,455 1,294,366 647,183 1,941,550 970,775 2,912,326 1,456,163 4,368,490 2,184,245 6,552,736 3,276,368 1,638,184 819,092 409,546 204,773 614,320 307,160 153,580 76,790 38,395 115,186 57,593 172,780 86,390 43,195 129,586 64,793 194,380 97,190 48,595 145,786 72,893 218,680 109,340 54,670 27,335 82,006 41,003 123,010 61,505 184,516 92,258 46,129 138,388 69,194 34,597

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