5394
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
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 11520
- Proper Divisor Sum (Aliquot Sum)
- 6126
- 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
- 1680
- Möbius Function
- 1
- Radical
- 5394
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 160
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- a(n) = (n+1)*(n+3)*(n+8)/6.at n=29A000297
- a(n) = floor( n*(n-1)*(n-2)/5 ).at n=31A011887
- Three-fold convolution of Bell numbers with themselves.at n=7A014323
- Expansion of 1/((1-5x)(1-9x)(1-10x)).at n=3A020494
- Self-convolution of composite numbers.at n=19A023648
- a(n) is the sum of squares of the first n positive integers congruent to 2 mod 3.at n=11A024394
- Numbers k such that 249*2^k+1 is prime.at n=37A032501
- Number of partitions in parts not of the form 25k, 25k+3 or 25k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=33A036002
- a(n) = ceiling(a(n-1)*3/2) with a(1) = 1.at n=20A061419
- a(n) = A000203(n)^2 - A001157(n) = sigma(n)^2 - sigma_2(n).at n=49A066293
- a(n) = 6*n^2 + 12*n.at n=28A067726
- Number of numbers whose base-3/2 expansion (see A024629) has n digits.at n=20A081848
- A014486-indices of binary trees whose left and right subtree are identical.at n=17A083938
- Perrin sequence of order 5.at n=56A087935
- Integer part of the area of consecutive prime sided isosceles triangles.at n=28A097442
- Indices of primes in sequence defined by A(0) = 67, A(n) = 10*A(n-1) + 27 for n > 0.at n=16A101542
- Numbers which are the sum of three positive cubes and divisible by 31.at n=27A104054
- a(1) = 1; for n > 1: if n is even, a(n) = least k > 0 such that sum(i=1,n/2,a(2*i-1))/sum(j=1,n,a(j))>=1/4, or 1 if there is no such k; if n is odd, a(n) = largest k > 0 such that sum(i=1,(n+1)/2,a(2*i-1))/sum(j=1,n,a(j))<=1/3, or 1 if there is no such k.at n=43A104740
- Numbers n such that every digit occurs at least once in n^3.at n=12A119735
- Site series for first parallel moment of Kagome lattice.at n=11A120550