4720
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 11160
- Proper Divisor Sum (Aliquot Sum)
- 6440
- 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
- 1856
- Möbius Function
- 0
- Radical
- 590
- Omega Function (Ω)
- 6
- 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
- 59
- 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
- Octagonal numbers: n*(3*n-2). Also called star numbers.at n=40A000567
- Total height of rooted trees with n labeled nodes.at n=4A001864
- Number of bipartite partitions.at n=13A002767
- Number of 3-regular (trivalent) labeled graphs on 2n vertices with multiple edges and loops allowed.at n=3A005814
- Coordination sequence T7 for Zeolite Code MTT.at n=42A008195
- Triangle read by rows: number of permutations of 1..n by length of longest run.at n=39A010026
- a(n) = n*(n-1) + (n-2)*(n-3) + ... + 1*0 + 1 for n odd; otherwise, a(n) = n*(n-1) + (n-2)*(n-3) + ... + 2*1.at n=29A014112
- Even octagonal numbers: a(n) = 4*n*(3*n-1).at n=20A014642
- Numbers k not congruent to 0 (mod 3) such that phi(k) + 4 | sigma(k).at n=5A015806
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly seven 1's.at n=22A020443
- a(n) = self-convolution of row n of array T given by A026323.at n=5A027308
- Number of nonnegative solutions of x1^2 + x2^2 + ... + x10^2 = n.at n=13A045852
- McKay-Thompson series of class 9a for the Monster group.at n=7A058092
- Number of irreducible polynomials over F_2 of degree at most n.at n=14A062692
- Second 11-gonal (or hendecagonal) numbers: a(n) = n*(9*n+7)/2.at n=32A062728
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 91 ).at n=15A063364
- Group the natural numbers so that the product of members of a group is a multiple of the sum: (1),(2,3,4,5,6),(7,8,9),(10,11,12),(13,14,15),(16,17,18),(19,20,21),(22,23,24),.... This is the sequence of the ratio of product /sum.at n=39A074155
- Numbers k such that numerator of Bernoulli(2k) is divisible by the square of 59, the second irregular prime.at n=6A093058
- Triangle T, read by rows, such that the matrix square shifts T left one column and up one row, with T(0,0)=T(1,0)=1 and T(n,0)=0 for n>1 and T(n,n)=1 for n>=0.at n=32A098542
- Structured truncated cubic numbers.at n=9A100152