λ
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Atlas › Integer Profiles › Node 24,316,092

24,316,092

22 × 33 × 225149
Abundant Even Composite

24,316,092 factors as 2^2 × 3^3 × 225149. Its 24 positive divisors give a proper-divisor sum of 38,725,908, so this integer is abundant. The Collatz stopping time is 273 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 225149
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 63,042,000
Proper Divisor Sum 38,725,908
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #24316091 ← → #24316093

Radix Representation

Decimal 24316092
Binary 1011100110000100010111100 (25 bits)
Octal 0o134604274
Hexadecimal 0x17308BC

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 225,149 450,298 675,447 900,596 1,350,894 2,026,341 2,701,788 4,052,682 6,079,023 8,105,364 12,158,046 24,316,092

Collatz Trajectory (273 steps to reach 1)

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

24,316,092 12,158,046 6,079,023 18,237,070 9,118,535 27,355,606 13,677,803 41,033,410 20,516,705 61,550,116 30,775,058 15,387,529 46,162,588 23,081,294 11,540,647 34,621,942 17,310,971 51,932,914 25,966,457 77,899,372 38,949,686 19,474,843 58,424,530 29,212,265 87,636,796 43,818,398 21,909,199 65,727,598 32,863,799 98,591,398 49,295,699 147,887,098 73,943,549 221,830,648 110,915,324 55,457,662 27,728,831 83,186,494 41,593,247 124,779,742 62,389,871 187,169,614 93,584,807 280,754,422 140,377,211 421,131,634 210,565,817 631,697,452 315,848,726 157,924,363 473,773,090 236,886,545 710,659,636 355,329,818 177,664,909 532,994,728 266,497,364 133,248,682 66,624,341 199,873,024

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