5352
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 13440
- Proper Divisor Sum (Aliquot Sum)
- 8088
- 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
- 1776
- Möbius Function
- 0
- Radical
- 1338
- Omega Function (Ω)
- 5
- 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
- 72
- 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 tree-rooted planar maps with 3 vertices and n faces and no isthmuses.at n=4A006432
- Coordination sequence T2 for Zeolite Code MTN.at n=44A008187
- cos(sinh(x)+tan(x))=1-4/2!*x^2-8/4!*x^4+122/6!*x^6+5352/8!*x^8...at n=4A013049
- Expansion of e.g.f.: exp(tanh(x)+sin(x))=1+2*x+4/2!*x^2+5/3!*x^3-8/4!*x^4-71/5!*x^5...at n=8A013129
- Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 5 (most significant digit on right and removing all least significant zeros before concatenation).at n=6A029522
- Number of partitions of n into parts not of the form 21k, 21k+4 or 21k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=32A035982
- Starting from generation 5 add previous and next term yielding generation 6.at n=38A048452
- Consider all integer triples (i,j,k), j,k>0, with binomial(i+2, 3) = binomial(j+2, 3) + k^3, ordered by increasing i; sequence gives j values.at n=31A054222
- An approximation to sigma_{5/2}(n): round( sum_{d|n} d^(5/2) ).at n=30A058273
- An approximation to sigma_{5/2}(n): ceiling( sum_{d|n} d^(5/2) ).at n=30A058274
- First subsequent, disjoint occurrence of n consecutive nonprimes.at n=28A060064
- Positive numbers whose product of digits is 10 times their sum.at n=27A062043
- Numbers k such that the sum of digits of k^k is a square.at n=43A066236
- Multiples of 4 using only prime digits (2, 3, 5 and 7).at n=43A077534
- Multiples of 6 with only prime digits (2, 3, 5 and 7).at n=20A077535
- Least integers that satisfy sum(n>0,1/a(n)^z)=0, where a(1)=1, a(n+1)>a(n) and z=I*2.at n=8A084816
- Local maxima of A053707 (first differences of A025475, powers of a prime but not prime).at n=44A088365
- Greatest number m with A088444(m) = n.at n=23A088448
- Sum of n!!, with n>=0.at n=10A129981
- First occurrence of a set of n consecutive numbers having at least one prime gap in their factorization: a(n) = smallest number of this set.at n=28A137723