5364
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 13650
- Proper Divisor Sum (Aliquot Sum)
- 8286
- 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
- 894
- 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
- yes
- Harshad Number
- yes
- 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 Barlow packings with group P3(bar)m1(O) that repeat after 2n layers.at n=11A011952
- Expansion of 1/((1-x)(1-4x)(1-8x)(1-11x)).at n=3A021924
- n written in fractional base 7/5.at n=32A024642
- a(n) = T(2n-1,n), where T is the array in A026098.at n=34A026102
- Number of distinct values produced from sums and products of n unity arguments.at n=25A048249
- Molien series for group H_{1,3}^{8} of order 2304.at n=26A051531
- Susceptibility series H_5 for 2-dimensional Ising model (divided by 2).at n=5A054389
- Numbers n such that n*10^n - 1 is prime.at n=16A059671
- Let N =149162536496481100121441691962252562893243614..., the concatenation of the squares. a(n) is the n-digit number formed from the digits of N starting from the {n(n-1)/2 +1}th digit. Omit any leading zeros.at n=3A066551
- Expansion of Product_{k>=1} (1 + A001055(k)*x^k).at n=35A066816
- Numbers n such that A078142(n) = A078142(n+1) = A078142(n+2), where A078142(n) is the sum of the differences of the distinct prime factors p of n and the next square larger than p.at n=4A073938
- Coefficient of x^2 in the n-th Moebius polynomial (A074586), M(n,x), which satisfies M(n,-1)=mu(n) the Moebius function of n.at n=46A077598
- Sum of primitive roots of n-th prime.at n=34A088144
- Numbers k such that k + (largest digit of k)! is a square.at n=34A095927
- Values of k such that floor(k*tanh(Pi)) = floor((k+1) tanh(Pi)).at n=19A096613
- Triangle read by rows: counts permutations by number of big descents.at n=25A120434
- Number of 2-cell columns starting at level 0 in all of deco polyominoes of height n. A deco polyomino is a directed column-convex polyomino in which the height, measured along the diagonal, is attained only in the last column.at n=6A121636
- a(0)=1, a(1)=0, a(2)=1, a(n) = a(n-1) + a(n-2) + 3*a(n-3).at n=13A123102
- Integer part of Gauss's Arithmetic-Geometric Mean M(2,n^4).at n=13A127765
- Binomial transform of A129982.at n=12A129983