11373
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16128
- Proper Divisor Sum (Aliquot Sum)
- 4755
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7104
- Möbius Function
- -1
- Radical
- 11373
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 174
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest natural number requiring n letters in English.at n=38A001166
- Number of letters in English name for n increases at these numbers.at n=29A001619
- Smallest number with exactly n prime substrings.at n=11A035244
- Smallest positive integer requiring at least n letters (not including hyphens) when spelled out in English.at n=37A045494
- Smallest positive integer requiring at least n letters (not including hyphens) to be spelled out in English.at n=40A045495
- Indices of records in length of English name of n including spaces and dashes (A052360): n such that k < n => A052360(k) < A052360(n).at n=30A052362
- Numbers n whose English name has a greater length (A005589) than any smaller number.at n=26A052363
- a(n), when spelled in English, is the smallest positive integer with exactly n letters.at n=35A080777
- a(n) is the smallest positive integer > a(n-1) with exactly n letters when spelled in English.at n=35A084390
- Expansion of (eta(q^3)eta(q^15)/(eta(q)eta(q^5)))^2 in powers of q.at n=21A093065
- Row sums of A095167.at n=26A095170
- Numbers n such that for some k and a_1,a_2,...,a_k the concatenation of the a_i is equal to n and their product is equal to pi(n).at n=34A097221
- Numbers n such that there exists at least one number j and pi(m) = d_1 d_2 ... d_j*d_(j+1) d_(j+2) ... d_k where d_1 d_2 ...d_k is the decimal expansion of n.at n=19A112012
- Numbers k such that the value pi(k), the number of primes <= k, can be obtained deleting some of the repeating adjacent digits of k.at n=1A113898
- Total number of parts in the tails below the Durfee squares of all partitions of n.at n=24A114089
- Lucky numbers for which both the sum of the digits and the product of the digits is also a lucky number.at n=19A118559
- Least natural number in English which requires exactly n characters to spell including spaces and hyphens, or 0 if no such number exists. The inverse of A052360.at n=40A132363
- Least nonnegative integer which requires n letters to spell in English, excluding spaces and hyphens. A right inverse of A005589.at n=35A134629
- Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 01010-11111-00100 pattern in any orientation.at n=11A147352
- G.f.: A(x) = F(x*F(x)^2) = F(F(x)-1) where F(x) = 1 + x*F(x)^2 is the g.f. of A000108 (Catalan).at n=7A153294