λ
Ratio Atlas
Atlas › Integer Profiles › Node 23,806,600

23,806,600

23 × 52 × 119033
Abundant Even Composite

23,806,600 factors as 2^3 × 5^2 × 119033. Its 24 positive divisors give a proper-divisor sum of 31,544,210, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 119033
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 55,350,810
Proper Divisor Sum 31,544,210
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #23806591 ← → #23806619

Radix Representation

Decimal 23806600
Binary 1011010110100001010001000 (25 bits)
Octal 0o132641210
Hexadecimal 0x16B4288

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 119,033 238,066 476,132 595,165 952,264 1,190,330 2,380,660 2,975,825 4,761,320 5,951,650 11,903,300 23,806,600

Collatz Trajectory (123 steps to reach 1)

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

23,806,600 11,903,300 5,951,650 2,975,825 8,927,476 4,463,738 2,231,869 6,695,608 3,347,804 1,673,902 836,951 2,510,854 1,255,427 3,766,282 1,883,141 5,649,424 2,824,712 1,412,356 706,178 353,089 1,059,268 529,634 264,817 794,452 397,226 198,613 595,840 297,920 148,960 74,480 37,240 18,620 9,310 4,655 13,966 6,983 20,950 10,475 31,426 15,713 47,140 23,570 11,785 35,356 17,678 8,839 26,518 13,259 39,778 19,889 59,668 29,834 14,917 44,752 22,376 11,188 5,594 2,797 8,392 4,196

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #23,806,599 Browse Full Index Next Integer #23,806,601 →