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Atlas › Integer Profiles › Node 4,528,056

4,528,056

23 × 3 × 13 × 23 × 631
Abundant Even Composite

4,528,056 factors as 2^3 × 3 × 13 × 23 × 631. Its 64 positive divisors give a proper-divisor sum of 8,213,064, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 23 × 631
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 12,741,120
Proper Divisor Sum 8,213,064
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4528021 ← → #4528087

Radix Representation

Decimal 4528056
Binary 10001010001011110111000 (23 bits)
Octal 0o21213670
Hexadecimal 0x4517B8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 631 897 1,196 1,262 1,794 1,893 2,392 2,524 3,588 3,786 5,048 7,176 7,572 8,203 14,513 15,144 16,406 24,609 29,026 32,812 43,539 49,218 58,052 65,624 87,078 98,436 116,104 174,156 188,669 196,872 348,312 377,338 566,007 754,676

Collatz Trajectory (87 steps to reach 1)

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

4,528,056 2,264,028 1,132,014 566,007 1,698,022 849,011 2,547,034 1,273,517 3,820,552 1,910,276 955,138 477,569 1,432,708 716,354 358,177 1,074,532 537,266 268,633 805,900 402,950 201,475 604,426 302,213 906,640 453,320 226,660 113,330 56,665 169,996 84,998 42,499 127,498 63,749 191,248 95,624 47,812 23,906 11,953 35,860 17,930 8,965 26,896 13,448 6,724 3,362 1,681 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800

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