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Atlas › Integer Profiles › Node 23,795,792

23,795,792

24 × 71 × 20947
Deficient Even Composite

23,795,792 factors as 2^4 × 71 × 20947. Its 20 positive divisors give a proper-divisor sum of 22,960,144, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^4 × 71 × 20947
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 46,755,936
Proper Divisor Sum 22,960,144
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #23795791 ← → #23795797

Radix Representation

Decimal 23795792
Binary 1011010110001100001010000 (25 bits)
Octal 0o132614120
Hexadecimal 0x16B1850

Divisor Catalog (20)

1 2 4 8 16 71 142 284 568 1,136 20,947 41,894 83,788 167,576 335,152 1,487,237 2,974,474 5,948,948 11,897,896 23,795,792

Collatz Trajectory (123 steps to reach 1)

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

23,795,792 11,897,896 5,948,948 2,974,474 1,487,237 4,461,712 2,230,856 1,115,428 557,714 278,857 836,572 418,286 209,143 627,430 313,715 941,146 470,573 1,411,720 705,860 352,930 176,465 529,396 264,698 132,349 397,048 198,524 99,262 49,631 148,894 74,447 223,342 111,671 335,014 167,507 502,522 251,261 753,784 376,892 188,446 94,223 282,670 141,335 424,006 212,003 636,010 318,005 954,016 477,008 238,504 119,252 59,626 29,813 89,440 44,720 22,360 11,180 5,590 2,795 8,386 4,193

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