9672
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 26880
- Proper Divisor Sum (Aliquot Sum)
- 17208
- 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
- 2880
- Möbius Function
- 0
- Radical
- 2418
- Omega Function (Ω)
- 6
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 60
- 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
- Weight distribution of [ 96,48,12 ] doubly-even self-dual "octern" code.at n=4A030062
- Weight distribution of [ 96,48,12 ] doubly-even self-dual "octern" code.at n=20A030062
- 15-gonal (or pentadecagonal) numbers: n*(13n-11)/2.at n=39A051867
- Numbers k such that sigma(x) = k has exactly 10 solutions.at n=13A060666
- Non-palindromic number and its reversal are both multiples of 13.at n=32A062912
- a(n) = the maximum number of lattice points touched by an origin-centered 4d-sphere with radius <= n.at n=21A071345
- Numbers that can be expressed as the difference of the squares of primes in exactly four distinct ways.at n=26A092000
- a(n) = 4*a(n-1) + 3*a(n-2) - 14*a(n-3) + 8*a(n-4).at n=8A096977
- Number of matchings of the corona L'(n) of the ladder graph L(n)=P_2 X P_n. and the complete graph K(1); in other words, L'(n) is the graph constructed from L(n) by adding for each vertex v a new vertex v' and the edge vv'.at n=5A102436
- Numbers n such that the numerator of BernoulliB[n] is divisible by 691.at n=33A119864
- Records in A000118.at n=27A128690
- Square roots of the perfect squares in A136360; or numbers k such that k^4 is in A133459 = the sums of two nonzero pentagonal pyramidal numbers.at n=5A136361
- The fourth row of the ED2 array A167560.at n=12A167561
- Number of (n+2) X (n+2) 0..3 arrays with no 3 X 3 subblock having three equal diagonal elements or three equal antidiagonal elements, and new values 0..3 introduced in row major order.at n=0A204343
- Number of (n+2)X3 0..3 arrays with no 3X3 subblock having three equal diagonal elements or three equal antidiagonal elements, and new values 0..3 introduced in row major order.at n=0A204344
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no 3X3 subblock having three equal diagonal elements or three equal antidiagonal elements, and new values 0..3 introduced in row major order.at n=0A204351
- Number of nX4 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 1 1 1 vertically.at n=5A207841
- T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 1 1 1 vertically.at n=41A207845
- Number of 6Xn 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 1 1 1 vertically.at n=3A207849
- Number of (n+1) X (n+1) -6..6 symmetric matrices with every 2 X 2 subblock having sum zero and three distinct values.at n=8A211254