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Atlas › Integer Profiles › Node 26,344,912

26,344,912

24 × 11 × 181 × 827
Abundant Even Composite

26,344,912 factors as 2^4 × 11 × 181 × 827. Its 40 positive divisors give a proper-divisor sum of 29,714,000, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 181 × 827
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 56,058,912
Proper Divisor Sum 29,714,000
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #26344891 ← → #26344921

Radix Representation

Decimal 26344912
Binary 1100100011111110111010000 (25 bits)
Octal 0o144376720
Hexadecimal 0x191FDD0

Divisor Catalog (40)

1 2 4 8 11 16 22 44 88 176 181 362 724 827 1,448 1,654 1,991 2,896 3,308 3,982 6,616 7,964 9,097 13,232 15,928 18,194 31,856 36,388 72,776 145,552 149,687 299,374 598,748 1,197,496 1,646,557 2,394,992 3,293,114 6,586,228 13,172,456 26,344,912

Collatz Trajectory (123 steps to reach 1)

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

26,344,912 13,172,456 6,586,228 3,293,114 1,646,557 4,939,672 2,469,836 1,234,918 617,459 1,852,378 926,189 2,778,568 1,389,284 694,642 347,321 1,041,964 520,982 260,491 781,474 390,737 1,172,212 586,106 293,053 879,160 439,580 219,790 109,895 329,686 164,843 494,530 247,265 741,796 370,898 185,449 556,348 278,174 139,087 417,262 208,631 625,894 312,947 938,842 469,421 1,408,264 704,132 352,066 176,033 528,100 264,050 132,025 396,076 198,038 99,019 297,058 148,529 445,588 222,794 111,397 334,192 167,096

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