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Atlas › Integer Profiles › Node 4,529,640

4,529,640

23 × 3 × 5 × 37747
Abundant Even Composite

4,529,640 factors as 2^3 × 3 × 5 × 37747. Its 32 positive divisors give a proper-divisor sum of 9,059,640, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 37747
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,589,280
Proper Divisor Sum 9,059,640
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4529611 ← → #4529641

Radix Representation

Decimal 4529640
Binary 10001010001110111101000 (23 bits)
Octal 0o21216750
Hexadecimal 0x451DE8

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 37,747 75,494 113,241 150,988 188,735 226,482 301,976 377,470 452,964 566,205 754,940 905,928 1,132,410 1,509,880 2,264,820 4,529,640

Collatz Trajectory (211 steps to reach 1)

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

4,529,640 2,264,820 1,132,410 566,205 1,698,616 849,308 424,654 212,327 636,982 318,491 955,474 477,737 1,433,212 716,606 358,303 1,074,910 537,455 1,612,366 806,183 2,418,550 1,209,275 3,627,826 1,813,913 5,441,740 2,720,870 1,360,435 4,081,306 2,040,653 6,121,960 3,060,980 1,530,490 765,245 2,295,736 1,147,868 573,934 286,967 860,902 430,451 1,291,354 645,677 1,937,032 968,516 484,258 242,129 726,388 363,194 181,597 544,792 272,396 136,198 68,099 204,298 102,149 306,448 153,224 76,612 38,306 19,153 57,460 28,730

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