λ
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Atlas › Integer Profiles › Node 23,426,360

23,426,360

23 × 5 × 163 × 3593
Abundant Even Composite

23,426,360 factors as 2^3 × 5 × 163 × 3593. Its 32 positive divisors give a proper-divisor sum of 29,621,080, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 163 × 3593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 53,047,440
Proper Divisor Sum 29,621,080
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #23426353 ← → #23426383

Radix Representation

Decimal 23426360
Binary 1011001010111010100111000 (25 bits)
Octal 0o131272470
Hexadecimal 0x1657538

Divisor Catalog (32)

1 2 4 5 8 10 20 40 163 326 652 815 1,304 1,630 3,260 3,593 6,520 7,186 14,372 17,965 28,744 35,930 71,860 143,720 585,659 1,171,318 2,342,636 2,928,295 4,685,272 5,856,590 11,713,180 23,426,360

Collatz Trajectory (128 steps to reach 1)

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

23,426,360 11,713,180 5,856,590 2,928,295 8,784,886 4,392,443 13,177,330 6,588,665 19,765,996 9,882,998 4,941,499 14,824,498 7,412,249 22,236,748 11,118,374 5,559,187 16,677,562 8,338,781 25,016,344 12,508,172 6,254,086 3,127,043 9,381,130 4,690,565 14,071,696 7,035,848 3,517,924 1,758,962 879,481 2,638,444 1,319,222 659,611 1,978,834 989,417 2,968,252 1,484,126 742,063 2,226,190 1,113,095 3,339,286 1,669,643 5,008,930 2,504,465 7,513,396 3,756,698 1,878,349 5,635,048 2,817,524 1,408,762 704,381 2,113,144 1,056,572 528,286 264,143 792,430 396,215 1,188,646 594,323 1,782,970 891,485

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