9660
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 32256
- Proper Divisor Sum (Aliquot Sum)
- 22596
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2112
- Möbius Function
- 0
- Radical
- 4830
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 5
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 122
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- 4-dimensional figurate numbers: a(n) = (5*n-1)*binomial(n+2,3)/4.at n=14A002418
- a(n) = round(n*phi^12), where phi is the golden ratio, A001622.at n=30A004947
- a(n) = ceiling(n*phi^12), where phi is the golden ratio, A001622.at n=30A004967
- Truncated tetrahedral numbers: a(n) = (1/6)*(n+1)*(23*n^2 + 19*n + 6).at n=13A005906
- a(n) = (n^4 + n^2 + 2*n)/4.at n=14A006528
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/22 ).at n=23A011932
- Conjectured formula for irreducible 5-fold Euler sums of weight 2n+13.at n=39A019450
- dot product (n,n-1,...2,1).(3,4,...,n,1,2).at n=33A026054
- a(n) = (d(n)-r(n))/2, where d = A026054 and r is the periodic sequence with fundamental period (1,0,0,0).at n=43A026055
- Dirichlet convolution of Ramanujan numbers (A000594) with themselves.at n=4A034778
- Sparsely totient numbers; numbers n such that m > n implies phi(m) > phi(n).at n=47A036913
- Star of David matchstick numbers: a(n) = 6*n*(3*n+1).at n=23A045946
- a(0)=4, a(1)=0, a(2)=0, a(3)=3; thereafter a(n) = a(n-3) + a(n-4).at n=46A050443
- Numbers that are divisible by exactly 5 different primes.at n=30A051270
- Number of 3 X 3 integer matrices with elements in the range [ -n,n ] which represent a six-fold rotation. Also the sequence for the corresponding six-fold rotoinversions.at n=2A053174
- Coefficients of the '6th-order' mock theta function rho(q).at n=46A053270
- Coefficients of the '6th-order' mock theta function lambda(q).at n=46A053272
- Number of 4-block ordered tricoverings of an unlabeled n-set.at n=34A060488
- Numbers k such that phi(x) = k has exactly 11 solutions.at n=33A060674
- Numbers k that, when expressed in base 4 and then interpreted in base 9, give a multiple of k.at n=18A062925