λ
Ratio Atlas
Atlas › Integer Profiles › Node 18,005,992

18,005,992

23 × 17 × 43 × 3079
Abundant Even Composite

18,005,992 factors as 2^3 × 17 × 43 × 3079. Its 32 positive divisors give a proper-divisor sum of 18,584,408, so this integer is abundant. The Collatz stopping time is 319 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 43 × 3079
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 36,590,400
Proper Divisor Sum 18,584,408
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #18005989 ← → #18005993

Radix Representation

Decimal 18005992
Binary 1000100101011111111101000 (25 bits)
Octal 0o104537750
Hexadecimal 0x112BFE8

Divisor Catalog (32)

1 2 4 8 17 34 43 68 86 136 172 344 731 1,462 2,924 3,079 5,848 6,158 12,316 24,632 52,343 104,686 132,397 209,372 264,794 418,744 529,588 1,059,176 2,250,749 4,501,498 9,002,996 18,005,992

Collatz Trajectory (319 steps to reach 1)

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

18,005,992 9,002,996 4,501,498 2,250,749 6,752,248 3,376,124 1,688,062 844,031 2,532,094 1,266,047 3,798,142 1,899,071 5,697,214 2,848,607 8,545,822 4,272,911 12,818,734 6,409,367 19,228,102 9,614,051 28,842,154 14,421,077 43,263,232 21,631,616 10,815,808 5,407,904 2,703,952 1,351,976 675,988 337,994 168,997 506,992 253,496 126,748 63,374 31,687 95,062 47,531 142,594 71,297 213,892 106,946 53,473 160,420 80,210 40,105 120,316 60,158 30,079 90,238 45,119 135,358 67,679 203,038 101,519 304,558 152,279 456,838 228,419 685,258

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #18,005,991 Browse Full Index Next Integer #18,005,993 →