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Atlas › Integer Profiles › Node 23,081,598

23,081,598

2 × 38 × 1759
Abundant Even Composite

23,081,598 factors as 2 × 3^8 × 1759. Its 36 positive divisors give a proper-divisor sum of 28,878,882, so this integer is abundant. The Collatz stopping time is 247 steps.

Prime Factor Structure

Factorization String 2 × 3^8 × 1759
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 51,960,480
Proper Divisor Sum 28,878,882
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #23081557 ← → #23081609

Radix Representation

Decimal 23081598
Binary 1011000000011001001111110 (25 bits)
Octal 0o130031176
Hexadecimal 0x160327E

Divisor Catalog (36)

1 2 3 6 9 18 27 54 81 162 243 486 729 1,458 1,759 2,187 3,518 4,374 5,277 6,561 10,554 13,122 15,831 31,662 47,493 94,986 142,479 284,958 427,437 854,874 1,282,311 2,564,622 3,846,933 7,693,866 11,540,799 23,081,598

Collatz Trajectory (247 steps to reach 1)

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

23,081,598 11,540,799 34,622,398 17,311,199 51,933,598 25,966,799 77,900,398 38,950,199 116,850,598 58,425,299 175,275,898 87,637,949 262,913,848 131,456,924 65,728,462 32,864,231 98,592,694 49,296,347 147,889,042 73,944,521 221,833,564 110,916,782 55,458,391 166,375,174 83,187,587 249,562,762 124,781,381 374,344,144 187,172,072 93,586,036 46,793,018 23,396,509 70,189,528 35,094,764 17,547,382 8,773,691 26,321,074 13,160,537 39,481,612 19,740,806 9,870,403 29,611,210 14,805,605 44,416,816 22,208,408 11,104,204 5,552,102 2,776,051 8,328,154 4,164,077 12,492,232 6,246,116 3,123,058 1,561,529 4,684,588 2,342,294 1,171,147 3,513,442 1,756,721 5,270,164

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