λ
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Atlas › Integer Profiles › Node 23,068,456

23,068,456

23 × 17 × 29 × 5849
Abundant Even Composite

23,068,456 factors as 2^3 × 17 × 29 × 5849. Its 32 positive divisors give a proper-divisor sum of 24,316,544, so this integer is abundant. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 29 × 5849
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 47,385,000
Proper Divisor Sum 24,316,544
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #23068453 ← → #23068457

Radix Representation

Decimal 23068456
Binary 1010111111111111100101000 (25 bits)
Octal 0o127777450
Hexadecimal 0x15FFF28

Divisor Catalog (32)

1 2 4 8 17 29 34 58 68 116 136 232 493 986 1,972 3,944 5,849 11,698 23,396 46,792 99,433 169,621 198,866 339,242 397,732 678,484 795,464 1,356,968 2,883,557 5,767,114 11,534,228 23,068,456

Collatz Trajectory (216 steps to reach 1)

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

23,068,456 11,534,228 5,767,114 2,883,557 8,650,672 4,325,336 2,162,668 1,081,334 540,667 1,622,002 811,001 2,433,004 1,216,502 608,251 1,824,754 912,377 2,737,132 1,368,566 684,283 2,052,850 1,026,425 3,079,276 1,539,638 769,819 2,309,458 1,154,729 3,464,188 1,732,094 866,047 2,598,142 1,299,071 3,897,214 1,948,607 5,845,822 2,922,911 8,768,734 4,384,367 13,153,102 6,576,551 19,729,654 9,864,827 29,594,482 14,797,241 44,391,724 22,195,862 11,097,931 33,293,794 16,646,897 49,940,692 24,970,346 12,485,173 37,455,520 18,727,760 9,363,880 4,681,940 2,340,970 1,170,485 3,511,456 1,755,728 877,864

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