2496
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
- 3
Divisibility
- Divisor Count
- 28
- Divisor Sum
- 7112
- Proper Divisor Sum (Aliquot Sum)
- 4616
- 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
- 768
- Möbius Function
- 0
- Radical
- 78
- Omega Function (Ω)
- 8
- 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
- 40
- 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 sensed 3-connected planar maps with n edges.at n=11A005645
- Coordination sequence T10 for Zeolite Code EUO.at n=31A008096
- Coordination sequence T8 for Zeolite Code EUO.at n=31A008103
- Theta series of direct sum of 2 copies of b.c.c. lattice.at n=35A008665
- A B_2 sequence: a(n) = least value such that the sequence increases and pairwise sums of distinct terms are all distinct.at n=39A010672
- a(n) = a(n-1) + a(n-3), with a(0) = a(1) = 1, a(2) = 5.at n=19A011761
- exp(tanh(x)+arctan(x))=1+2*x+4/2!*x^2+4/3!*x^3-16/4!*x^4-88/5!*x^5...at n=7A013140
- sinh(tanh(x)+arctan(x))=2*x+4/3!*x^3-88/5!*x^5+2496/7!*x^7...at n=3A013146
- Number of lines through exactly 4 points of an n X n grid of points.at n=24A018811
- a(n) is the concatenation of n and 4n.at n=23A019552
- Ceiling of Gamma(n+3/4)/Gamma(3/4).at n=7A020131
- Positive integers which apparently never result in a palindrome under repeated applications of the function A056964(x) = x + (x with digits reversed).at n=27A023108
- Numbers that are the sum of 4 nonzero squares in exactly 6 ways.at n=40A025362
- a(n) = 3*n^2 - 7*n + 6.at n=30A027599
- a(n) = n^2 - 4.at n=48A028347
- Expansion of (theta_3(z)*theta_3(11z) + theta_2(z)*theta_2(11z))^3.at n=28A028611
- Numbers k such that k divides the (right) concatenation of all numbers <= k written in base 25 (most significant digit on right).at n=14A029518
- Theta series of 6-dimensional 11-modular even lattice of minimal norm 4.at n=28A029586
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 23.at n=20A031521
- AND-convolution of squares A000290 with themselves.at n=35A033458