λ
Ratio Atlas
Atlas › Integer Profiles › Node 23,936,712

23,936,712

23 × 3 × 31 × 32173
Abundant Even Composite

23,936,712 factors as 2^3 × 3 × 31 × 32173. Its 32 positive divisors give a proper-divisor sum of 37,837,368, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 31 × 32173
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 61,774,080
Proper Divisor Sum 37,837,368
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #23936711 ← → #23936719

Radix Representation

Decimal 23936712
Binary 1011011010011111011001000 (25 bits)
Octal 0o133237310
Hexadecimal 0x16D3EC8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 32,173 64,346 96,519 128,692 193,038 257,384 386,076 772,152 997,363 1,994,726 2,992,089 3,989,452 5,984,178 7,978,904 11,968,356 23,936,712

Collatz Trajectory (79 steps to reach 1)

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

23,936,712 11,968,356 5,984,178 2,992,089 8,976,268 4,488,134 2,244,067 6,732,202 3,366,101 10,098,304 5,049,152 2,524,576 1,262,288 631,144 315,572 157,786 78,893 236,680 118,340 59,170 29,585 88,756 44,378 22,189 66,568 33,284 16,642 8,321 24,964 12,482 6,241 18,724 9,362 4,681 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #23,936,711 Browse Full Index Next Integer #23,936,713 →