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Atlas › Integer Profiles › Node 23,245,840

23,245,840

24 × 5 × 277 × 1049
Abundant Even Composite

23,245,840 factors as 2^4 × 5 × 277 × 1049. Its 40 positive divisors give a proper-divisor sum of 31,047,560, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 277 × 1049
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 54,293,400
Proper Divisor Sum 31,047,560
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #23245813 ← → #23245883

Radix Representation

Decimal 23245840
Binary 1011000101011010000010000 (25 bits)
Octal 0o130532020
Hexadecimal 0x162B410

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 277 554 1,049 1,108 1,385 2,098 2,216 2,770 4,196 4,432 5,245 5,540 8,392 10,490 11,080 16,784 20,980 22,160 41,960 83,920 290,573 581,146 1,162,292 1,452,865 2,324,584 2,905,730 4,649,168 5,811,460 11,622,920 23,245,840

Collatz Trajectory (172 steps to reach 1)

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

23,245,840 11,622,920 5,811,460 2,905,730 1,452,865 4,358,596 2,179,298 1,089,649 3,268,948 1,634,474 817,237 2,451,712 1,225,856 612,928 306,464 153,232 76,616 38,308 19,154 9,577 28,732 14,366 7,183 21,550 10,775 32,326 16,163 48,490 24,245 72,736 36,368 18,184 9,092 4,546 2,273 6,820 3,410 1,705 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604

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