λ
Ratio Atlas
Atlas › Integer Profiles › Node 15,458,968

15,458,968

23 × 7 × 41 × 6733
Abundant Even Composite

15,458,968 factors as 2^3 × 7 × 41 × 6733. Its 32 positive divisors give a proper-divisor sum of 18,480,392, so this integer is abundant. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 41 × 6733
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 33,939,360
Proper Divisor Sum 18,480,392
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #15458941 ← → #15458969

Radix Representation

Decimal 15458968
Binary 111010111110001010011000 (24 bits)
Octal 0o72761230
Hexadecimal 0xEBE298

Divisor Catalog (32)

1 2 4 7 8 14 28 41 56 82 164 287 328 574 1,148 2,296 6,733 13,466 26,932 47,131 53,864 94,262 188,524 276,053 377,048 552,106 1,104,212 1,932,371 2,208,424 3,864,742 7,729,484 15,458,968

Collatz Trajectory (81 steps to reach 1)

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

15,458,968 7,729,484 3,864,742 1,932,371 5,797,114 2,898,557 8,695,672 4,347,836 2,173,918 1,086,959 3,260,878 1,630,439 4,891,318 2,445,659 7,336,978 3,668,489 11,005,468 5,502,734 2,751,367 8,254,102 4,127,051 12,381,154 6,190,577 18,571,732 9,285,866 4,642,933 13,928,800 6,964,400 3,482,200 1,741,100 870,550 435,275 1,305,826 652,913 1,958,740 979,370 489,685 1,469,056 734,528 367,264 183,632 91,816 45,908 22,954 11,477 34,432 17,216 8,608 4,304 2,152 1,076 538 269 808 404 202 101 304 152 76

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 #15,458,967 Browse Full Index Next Integer #15,458,969 →