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8,554,464

25 × 33 × 9901
Abundant Even Composite

8,554,464 factors as 2^5 × 3^3 × 9901. Its 48 positive divisors give a proper-divisor sum of 16,398,576, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^5 × 3^3 × 9901
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,953,040
Proper Divisor Sum 16,398,576
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8554453 ← → #8554471

Radix Representation

Decimal 8554464
Binary 100000101000011111100000 (24 bits)
Octal 0o40503740
Hexadecimal 0x8287E0

Divisor Catalog (48)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 9,901 19,802 29,703 39,604 59,406 79,208 89,109 118,812 158,416 178,218 237,624 267,327 316,832 356,436 475,248 534,654 712,872 950,496 1,069,308 1,425,744 2,138,616 2,851,488 4,277,232 8,554,464

Collatz Trajectory (168 steps to reach 1)

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

8,554,464 4,277,232 2,138,616 1,069,308 534,654 267,327 801,982 400,991 1,202,974 601,487 1,804,462 902,231 2,706,694 1,353,347 4,060,042 2,030,021 6,090,064 3,045,032 1,522,516 761,258 380,629 1,141,888 570,944 285,472 142,736 71,368 35,684 17,842 8,921 26,764 13,382 6,691 20,074 10,037 30,112 15,056 7,528 3,764 1,882 941 2,824 1,412 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253

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