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Atlas › Integer Profiles › Node 23,887,168

23,887,168

26 × 251 × 1487
Deficient Even Composite

23,887,168 factors as 2^6 × 251 × 1487. Its 28 positive divisors give a proper-divisor sum of 23,734,784, so this integer is deficient. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^6 × 251 × 1487
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 47,621,952
Proper Divisor Sum 23,734,784
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #23887141 ← → #23887177

Radix Representation

Decimal 23887168
Binary 1011011000111110101000000 (25 bits)
Octal 0o133076500
Hexadecimal 0x16C7D40

Divisor Catalog (28)

1 2 4 8 16 32 64 251 502 1,004 1,487 2,008 2,974 4,016 5,948 8,032 11,896 16,064 23,792 47,584 95,168 373,237 746,474 1,492,948 2,985,896 5,971,792 11,943,584 23,887,168

Collatz Trajectory (154 steps to reach 1)

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

23,887,168 11,943,584 5,971,792 2,985,896 1,492,948 746,474 373,237 1,119,712 559,856 279,928 139,964 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215 99,646 49,823 149,470 74,735 224,206 112,103 336,310 168,155 504,466 252,233 756,700 378,350 189,175 567,526 283,763 851,290 425,645 1,276,936 638,468 319,234 159,617 478,852 239,426 119,713 359,140 179,570 89,785 269,356 134,678 67,339 202,018 101,009 303,028 151,514

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