λ
Ratio Atlas
Atlas › Integer Profiles › Node 23,707,232

23,707,232

25 × 37 × 20023
Abundant Even Composite

23,707,232 factors as 2^5 × 37 × 20023. Its 24 positive divisors give a proper-divisor sum of 24,230,224, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^5 × 37 × 20023
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 47,937,456
Proper Divisor Sum 24,230,224
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #23707171 ← → #23707237

Radix Representation

Decimal 23707232
Binary 1011010011011111001100000 (25 bits)
Octal 0o132337140
Hexadecimal 0x169BE60

Divisor Catalog (24)

1 2 4 8 16 32 37 74 148 296 592 1,184 20,023 40,046 80,092 160,184 320,368 640,736 740,851 1,481,702 2,963,404 5,926,808 11,853,616 23,707,232

Collatz Trajectory (92 steps to reach 1)

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

23,707,232 11,853,616 5,926,808 2,963,404 1,481,702 740,851 2,222,554 1,111,277 3,333,832 1,666,916 833,458 416,729 1,250,188 625,094 312,547 937,642 468,821 1,406,464 703,232 351,616 175,808 87,904 43,952 21,976 10,988 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #23,707,231 Browse Full Index Next Integer #23,707,233 →