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Atlas › Integer Profiles › Node 23,804,656

23,804,656

24 × 263 × 5657
Deficient Even Composite

23,804,656 factors as 2^4 × 263 × 5657. Its 20 positive divisors give a proper-divisor sum of 22,500,416, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^4 × 263 × 5657
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 46,305,072
Proper Divisor Sum 22,500,416
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #23804623 ← → #23804659

Radix Representation

Decimal 23804656
Binary 1011010110011101011110000 (25 bits)
Octal 0o132635360
Hexadecimal 0x16B3AF0

Divisor Catalog (20)

1 2 4 8 16 263 526 1,052 2,104 4,208 5,657 11,314 22,628 45,256 90,512 1,487,791 2,975,582 5,951,164 11,902,328 23,804,656

Collatz Trajectory (185 steps to reach 1)

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

23,804,656 11,902,328 5,951,164 2,975,582 1,487,791 4,463,374 2,231,687 6,695,062 3,347,531 10,042,594 5,021,297 15,063,892 7,531,946 3,765,973 11,297,920 5,648,960 2,824,480 1,412,240 706,120 353,060 176,530 88,265 264,796 132,398 66,199 198,598 99,299 297,898 148,949 446,848 223,424 111,712 55,856 27,928 13,964 6,982 3,491 10,474 5,237 15,712 7,856 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210

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