5654
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9288
- Proper Divisor Sum (Aliquot Sum)
- 3634
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2560
- Möbius Function
- -1
- Radical
- 5654
- Omega Function (Ω)
- 3
- 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
- 111
- 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
- Numbers that are the sum of 12 positive 7th powers.at n=35A003379
- Reverse digits of number of partitions of n.at n=29A004089
- Powers of 2 written in base 7.at n=11A004646
- Shifts left when inverse Moebius transform applied twice.at n=38A007557
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite LOV = Lovdarite K4Na12 [Be8Si28O72].18H2O starting with a T2 atom.at n=12A019140
- Number of distinct products ijk with 1 <= i,j,k <= n.at n=44A027425
- Numbers whose set of base-12 digits is {2,3}.at n=28A032812
- Sequence arising in search for Legendre sequences.at n=14A039795
- a(n) = Sum_{i=0..floor(n/2)} T(2i,n-2i) where T is A049627.at n=47A049630
- a(n) = Sum_{i=0..floor(n/2)} T(2i+1,n-2i-1) where T is A049627.at n=47A049631
- McKay-Thompson series of class 18B for the Monster group.at n=17A058532
- Start with 0; to get next term reverse digits and add 1 to each digit (9's get replaced by 10's).at n=24A061729
- Index of first occurrence of n in A120125, or 0 if not present.at n=11A120126
- a(n) = dimension of the space in which the sphere of radius n is of maximum volume.at n=29A121546
- Right-angled numbers with an internal digit as the vertex.at n=34A135602
- Numbers k such that the three numbers k-1, k+3 and k+5 are all prime.at n=44A144840
- Numbers k such that the three numbers k+3, k-3 and k+5 are all prime.at n=40A144842
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (1, 0, -1), (1, 0, 0), (1, 1, -1)}.at n=9A148350
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 0), (0, 1, -1), (0, 1, 1), (1, 0, 1)}.at n=7A150226
- A triangle sequence from a sum: t0(n,m)=(2 + PartitionsQ[n] - PartitionsQ[m] - PartitionsQ[n - m]); t1(n,k)=Sum[(-1)^j *t0[n + 1, j](k + 1 - j)^n, {j, 0, k + 1}]; t(n,m)=If[n == 0, 1, t1(n, k) + t1(n, n - k)].at n=24A156130