11431
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13824
- Proper Divisor Sum (Aliquot Sum)
- 2393
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9240
- Möbius Function
- -1
- Radical
- 11431
- 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
- yes
- 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
- Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 24 (most significant digit on right and removing all least significant zeros before concatenation).at n=10A029541
- Number of n-node rooted trees of height at most 7.at n=13A034824
- Numbers k > 1 such that k mod ord2(k) is even, where ord2(k) is the order of 2 mod k.at n=18A036260
- Engel expansion of 1 + Sum_{k>=1} 1/k^k.at n=9A063194
- a(n) is the smallest index m such that Sum_{k=2..m} 1/PrimePi(k) >= n, where PrimePi()=A000720().at n=38A074633
- Expansion of (1-x)^(-1)/(1-2*x-3*x^2-3*x^3).at n=8A077825
- Sum of three edges of box having both integral orthogonal sides and integral geodesic distances between opposite vertices.at n=3A095257
- Numbers k such that 7*10^k + 3*R_k - 2 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=21A103055
- The sum of a triangular array made from a negative 6 fold permutation product with shifts up and down of {2,6}.at n=37A105162
- Least k such that 10^n + k is a Sophie Germain prime and the lesser of a twin prime pair.at n=22A118580
- Triangle read by rows: numbers of isomers of unbranched a-4-catapolydecagons.at n=29A120651
- Numbers of isomers of unbranched a-4-catapolydecagons - see Brunvoll reference for precise definition.at n=6A121143
- Ramanujan numbers (A000594) read mod 23^3.at n=10A126847
- Numbers m such that A132575(m) = A132575(m-1).at n=9A132580
- Sum of first n squares of semiprimes.at n=15A217736
- Smallest positive integer k (or 0 if no such k) with a primitive cycle of positive integers, exactly n of which are odd, under iteration by the Collatz-like 3x-k function.at n=45A226677
- Number of partitions p of n such that the number of parts is a part and max(p) - min(p) is not a part.at n=46A241384
- Nonprimes such that it takes exactly 4 iterations of reverse-and-add digits to generate a prime.at n=16A245209
- Numbers whose sum of divisors is equal to the product of the number of divisors of their k first powers, for some k.at n=25A283758
- a(n) is the number of permutations of length n that avoid the pattern 321 and the mesh pattern (12, 267) or the same sequence for the mesh pattern (12, 417).at n=10A289594