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Atlas › Integer Profiles › Node 4,277,232

4,277,232

24 × 33 × 9901
Abundant Even Composite

4,277,232 factors as 2^4 × 3^3 × 9901. Its 40 positive divisors give a proper-divisor sum of 8,001,248, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 9901
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 12,278,480
Proper Divisor Sum 8,001,248
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4277227 ← → #4277257

Radix Representation

Decimal 4277232
Binary 10000010100001111110000 (23 bits)
Octal 0o20241760
Hexadecimal 0x4143F0

Divisor Catalog (40)

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

Collatz Trajectory (167 steps to reach 1)

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

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 1,012 506 253 760

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