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Atlas › Integer Profiles › Node 2,545,752

2,545,752

23 × 3 × 11 × 9643
Abundant Even Composite

2,545,752 factors as 2^3 × 3 × 11 × 9643. Its 32 positive divisors give a proper-divisor sum of 4,397,928, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 9643
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,943,680
Proper Divisor Sum 4,397,928
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2545727 ← → #2545757

Radix Representation

Decimal 2545752
Binary 1001101101100001011000 (22 bits)
Octal 0o11554130
Hexadecimal 0x26D858

Divisor Catalog (32)

1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 9,643 19,286 28,929 38,572 57,858 77,144 106,073 115,716 212,146 231,432 318,219 424,292 636,438 848,584 1,272,876 2,545,752

Collatz Trajectory (130 steps to reach 1)

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

2,545,752 1,272,876 636,438 318,219 954,658 477,329 1,431,988 715,994 357,997 1,073,992 536,996 268,498 134,249 402,748 201,374 100,687 302,062 151,031 453,094 226,547 679,642 339,821 1,019,464 509,732 254,866 127,433 382,300 191,150 95,575 286,726 143,363 430,090 215,045 645,136 322,568 161,284 80,642 40,321 120,964 60,482 30,241 90,724 45,362 22,681 68,044 34,022 17,011 51,034 25,517 76,552 38,276 19,138 9,569 28,708 14,354 7,177 21,532 10,766 5,383 16,150

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