11410
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 23616
- Proper Divisor Sum (Aliquot Sum)
- 12206
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- yes
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3888
- Möbius Function
- 1
- Radical
- 11410
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 81
- 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
- yes
- Odd
- no
Appears in sequences
- Weird numbers: abundant (A005101) but not pseudoperfect (A005835).at n=11A006037
- sec(arcsinh(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+25/4!*x^4+140/5!*x^5...at n=7A012594
- Number of bracelets (turnover necklaces) of n beads of 2 colors, 9 of them black.at n=13A032281
- Multiplicity of highest weight (or singular) vectors associated with character chi_81 of Monster module.at n=46A034469
- Multiplicity of highest weight (or singular) vectors associated with character chi_134 of Monster module.at n=38A034522
- Numbers having four 2's in base 8.at n=28A043432
- Numbers k such that x^k + x^3 + 1 is irreducible over GF(2).at n=35A057461
- Numbers n such that x^n + x^3 + x^2 + x + 1 is irreducible over GF(2).at n=28A057496
- McKay-Thompson series of class 42D for Monster.at n=50A058674
- Multiples of 7 whose sum of digits is equal to 7.at n=24A063416
- Unitary weird numbers: unitary abundant (A034683) but not unitary pseudoperfect (A293188).at n=7A064114
- Triangle of T(n,m) = number of bracelets (necklaces than can be turned over) with m white beads and (2n-m) black ones, for 1<=m<=n.at n=63A073020
- Multiples of 14 containing a 14 in their decimal representation.at n=33A121034
- Numbers k such that k and k^2 use only the digits 0, 1, 3, 4 and 8.at n=13A136840
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (0, 0, -1), (0, 1, 0), (1, 1, 1)}.at n=8A150120
- Triangle read by rows: T(n, m) = binomial(n, m)* Sum_{k=0..m} binomial(n, k) for 0 <= m <= n.at n=40A167024
- Describe 10^n. Also called the "Say What You See" or "Look and Say" sequence LS(10^n).at n=41A191111
- Triangle read by rows: T(n,k) is the number of length n left factors of Dyck paths having k DUU's, where U=(1,1) and D=(1,-1).at n=54A191795
- Number of simple 2n-gons with only right angles, disregarding edge lengths.at n=10A256456
- Expansion of Product_{k>=1} ((1 + x^k) / (1 + x^(4*k)))^k.at n=19A285290