9410
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16956
- Proper Divisor Sum (Aliquot Sum)
- 7546
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3760
- Möbius Function
- -1
- Radical
- 9410
- 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
- 60
- 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
- Number of points on surface of hexagonal prism: 12*n^2 + 2 for n > 0 (coordination sequence for W(2)).at n=28A005914
- Powers of fifth root of 4 rounded down.at n=33A018123
- Powers of fifth root of 4 rounded to nearest integer.at n=33A018124
- Powers of fifth root of 8 rounded down.at n=22A018135
- Powers of fifth root of 8 rounded to nearest integer.at n=22A018136
- Expansion of 1/((1-2x)(1-8x)(1-9x)(1-11x)).at n=3A028016
- Denominators of continued fraction convergents to sqrt(566).at n=9A042085
- a(n) = prime(n)^2 + 1.at n=24A066872
- Number of polyiamonds with n cells that tile the plane by 180-degree rotation (Conway criterion) but not by translation.at n=14A075219
- Number of polyiamonds with n cells that tile the plane by 180-degree rotation (Conway criterion).at n=14A075220
- Number of polyiamonds with n cells that tile the plane by translation or by 180-degree rotation (Conway criterion).at n=14A075221
- a(n) = n * (10*n^2 - 6n + 1) = n * A087348(n).at n=10A104099
- Number of points in the standard root system version of the D_3 (or f.c.c.) lattice having L_infinity norm n.at n=28A110907
- Numbers k such that the concatenation of k with k-9 gives a square.at n=2A115436
- 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), (-1, 1, -1), (0, 0, -1), (1, -1, 1), (1, 0, 1)}.at n=9A148635
- a(n) = Lucas(n+1) + prime(n).at n=17A160243
- Monotonic ordering of set S generated by these rules: if x and y are in S then (x+1)(y+1) is in S, and 2 is in S.at n=41A192518
- Expansion of q^(-1/3) * a(q)^2 * c(q) / 3 in powers of q where a(), c() are cubic AGM theta functions.at n=32A231947
- The smallest numbers of every class in a classification of positive numbers (see comment).at n=26A247395
- Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 2 5 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 2 5 6 or 7.at n=7A252416