7292
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 12768
- Proper Divisor Sum (Aliquot Sum)
- 5476
- 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
- 3644
- Möbius Function
- 0
- Radical
- 3646
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 163
- 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
- Number of points on surface of cuboctahedron (or icosahedron): a(0) = 1; for n > 0, a(n) = 10n^2 + 2. Also coordination sequence for f.c.c. or A_3 or D_3 lattice.at n=27A005901
- Inverse Euler transform of primes.at n=32A030010
- a(n) = Sum_{i=0..n} T(i,n-i), array T as in A048149.at n=23A049712
- McKay-Thompson series of class 10b for Monster.at n=45A058103
- McKay-Thompson series of class 24H for Monster.at n=24A058578
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 85 ).at n=28A063358
- Let u(0)=1, u(n) = 5/2 * floor(u(n-1)); then a(n) = (2/5)*u(n).at n=10A076883
- Number of interior balls in a truncated tetrahedral arrangement.at n=12A092966
- Numbers j such that (3^j)*(47#) -1 is prime.at n=34A110116
- a(n) = 3*A146085(n) - 1.at n=36A146087
- 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, 1), (-1, 0, 1), (-1, 1, -1), (1, 0, -1), (1, 0, 1)}.at n=8A149149
- Number of different deltoids (including squares) whose vertices are on an n X n grid.at n=27A159944
- Numbers n with property that n^2 is a sum of some 70 successive primes.at n=8A166256
- Conjecturally, even numbers n such that every even number greater than n has more decompositions as the sum of two primes.at n=42A174327
- Smallest k > 0 such that k^prime(n) - prime(n) is prime.at n=43A177956
- a(n) is the sum of the squares of the coefficients of (x + 2*y + 3*z)^n.at n=3A186376
- Dispersion of A047215, (numbers >1 and congruent to 0 or 2 mod 5), by antidiagonals.at n=55A191723
- Monotonic ordering of set S generated by these rules: if x and y are in S then floor(x*y/2) is in S, and 5 is in S.at n=27A192520
- Divisors of 196884.at n=15A199014
- Number of 6 X 6 0..n matrices with each 2 X 2 subblock idempotent.at n=26A224668