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Atlas › Integer Profiles › Node 4,582,336

4,582,336

26 × 11 × 23 × 283
Abundant Even Composite

4,582,336 factors as 2^6 × 11 × 23 × 283. Its 56 positive divisors give a proper-divisor sum of 5,805,248, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^6 × 11 × 23 × 283
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 10,387,584
Proper Divisor Sum 5,805,248
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4582321 ← → #4582337

Radix Representation

Decimal 4582336
Binary 10001011110101111000000 (23 bits)
Octal 0o21365700
Hexadecimal 0x45EBC0

Divisor Catalog (56)

1 2 4 8 11 16 22 23 32 44 46 64 88 92 176 184 253 283 352 368 506 566 704 736 1,012 1,132 1,472 2,024 2,264 3,113 4,048 4,528 6,226 6,509 8,096 9,056 12,452 13,018 16,192 18,112 24,904 26,036 49,808 52,072 71,599 99,616 104,144 143,198 199,232 208,288 286,396 416,576 572,792 1,145,584 2,291,168 4,582,336

Collatz Trajectory (105 steps to reach 1)

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

4,582,336 2,291,168 1,145,584 572,792 286,396 143,198 71,599 214,798 107,399 322,198 161,099 483,298 241,649 724,948 362,474 181,237 543,712 271,856 135,928 67,964 33,982 16,991 50,974 25,487 76,462 38,231 114,694 57,347 172,042 86,021 258,064 129,032 64,516 32,258 16,129 48,388 24,194 12,097 36,292 18,146 9,073 27,220 13,610 6,805 20,416 10,208 5,104 2,552 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858

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