9402
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 18816
- Proper Divisor Sum (Aliquot Sum)
- 9414
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3132
- Möbius Function
- -1
- Radical
- 9402
- 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
- 122
- 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
- a(n) = Sum_{k=0..5} binomial(n,k).at n=17A006261
- Number of 3's in all partitions of n.at n=31A024787
- Numbers having four 2's in base 8.at n=19A043432
- Bessel function J_0(n) is a monotonically decreasing positive sequence.at n=22A046960
- Bessel function |J_0(n)| is a monotonically decreasing positive sequence.at n=41A046962
- Numbers k such that d(k) + d(k+1) + d(k+2) = 8, where d(k) = A001223.at n=37A064026
- Numbers k such that k^4 + 1, (k+2)^4 + 1 and (k+4)^4 + 1 are all primes.at n=8A073476
- Triangle read by rows, formed from product of Pascal's triangle (A007318) and Aitken's (or Bell's) triangle (A011971).at n=34A095674
- Cupolar numbers: a(n) = (n+1)*(5*n^2 + 7*n + 3)/3.at n=17A096000
- a(n) = A051717(3n) + A051717(3n+1) + A051717(3n+2).at n=23A153087
- Number of nondecreasing -2..2 vectors of length n whose dot product with some nonincreasing -2..2 vector equals n.at n=30A226393
- Number of extended RNA secondary structures of size n according to the zu Siederdissen et al. (2011) model.at n=9A226510
- 5*n^2 + 4*n - 15.at n=42A239794
- Number of partitions p of n such that median(p) >= multiplicity(max(p)).at n=33A240211
- Number of 2 X n 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=17A241256
- Number of partitions p of n such that (number of numbers of the form 3k in p) is a part of p.at n=35A241546
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 542", based on the 5-celled von Neumann neighborhood.at n=29A272811
- E.g.f. satisfies A(x) = ( 1 - log(1 - x*A(x))/A(x) )^3.at n=5A377359
- a(n) = Sum_{k=0..n} binomial(3*n+2,k).at n=5A387007
- a(n) = Sum_{k=0..n} binomial(4*n-3,k).at n=5A387035