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Atlas › Integer Profiles › Node 24,253,656

24,253,656

23 × 3 × 7 × 31 × 4657
Abundant Even Composite

24,253,656 factors as 2^3 × 3 × 7 × 31 × 4657. Its 64 positive divisors give a proper-divisor sum of 47,293,224, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 31 × 4657
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 71,546,880
Proper Divisor Sum 47,293,224
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #24253651 ← → #24253667

Radix Representation

Decimal 24253656
Binary 1011100100001010011011000 (25 bits)
Octal 0o134412330
Hexadecimal 0x17214D8

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1,302 1,736 2,604 4,657 5,208 9,314 13,971 18,628 27,942 32,599 37,256 55,884 65,198 97,797 111,768 130,396 144,367 195,594 260,792 288,734 391,188 433,101 577,468 782,376 866,202 1,010,569 1,154,936 1,732,404 2,021,138 3,031,707 3,464,808 4,042,276

Collatz Trajectory (123 steps to reach 1)

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

24,253,656 12,126,828 6,063,414 3,031,707 9,095,122 4,547,561 13,642,684 6,821,342 3,410,671 10,232,014 5,116,007 15,348,022 7,674,011 23,022,034 11,511,017 34,533,052 17,266,526 8,633,263 25,899,790 12,949,895 38,849,686 19,424,843 58,274,530 29,137,265 87,411,796 43,705,898 21,852,949 65,558,848 32,779,424 16,389,712 8,194,856 4,097,428 2,048,714 1,024,357 3,073,072 1,536,536 768,268 384,134 192,067 576,202 288,101 864,304 432,152 216,076 108,038 54,019 162,058 81,029 243,088 121,544 60,772 30,386 15,193 45,580 22,790 11,395 34,186 17,093 51,280 25,640

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