λ
Ratio Atlas
Atlas › Integer Profiles › Node 18,426,832

18,426,832

24 × 29 × 151 × 263
Abundant Even Composite

18,426,832 factors as 2^4 × 29 × 151 × 263. Its 40 positive divisors give a proper-divisor sum of 18,892,208, so this integer is abundant. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2^4 × 29 × 151 × 263
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 37,319,040
Proper Divisor Sum 18,892,208
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #18426817 ← → #18426857

Radix Representation

Decimal 18426832
Binary 1000110010010101111010000 (25 bits)
Octal 0o106225720
Hexadecimal 0x1192BD0

Divisor Catalog (40)

1 2 4 8 16 29 58 116 151 232 263 302 464 526 604 1,052 1,208 2,104 2,416 4,208 4,379 7,627 8,758 15,254 17,516 30,508 35,032 39,713 61,016 70,064 79,426 122,032 158,852 317,704 635,408 1,151,677 2,303,354 4,606,708 9,213,416 18,426,832

Collatz Trajectory (102 steps to reach 1)

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

18,426,832 9,213,416 4,606,708 2,303,354 1,151,677 3,455,032 1,727,516 863,758 431,879 1,295,638 647,819 1,943,458 971,729 2,915,188 1,457,594 728,797 2,186,392 1,093,196 546,598 273,299 819,898 409,949 1,229,848 614,924 307,462 153,731 461,194 230,597 691,792 345,896 172,948 86,474 43,237 129,712 64,856 32,428 16,214 8,107 24,322 12,161 36,484 18,242 9,121 27,364 13,682 6,841 20,524 10,262 5,131 15,394 7,697 23,092 11,546 5,773 17,320 8,660 4,330 2,165 6,496 3,248

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 #18,426,831 Browse Full Index Next Integer #18,426,833 →