5368
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 11160
- Proper Divisor Sum (Aliquot Sum)
- 5792
- 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
- 2400
- Möbius Function
- 0
- Radical
- 1342
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 98
- 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
- Expansion of 1/((1-10*x)*(1-12*x)).at n=3A016196
- Triangle read by rows: 4th power of the lower triangular mean matrix (M[i,j] = 1/i for i <= j).at n=19A027448
- Second diagonal of A027448.at n=4A027455
- Numbers k such that if d,e are consecutive digits of k in base 6, then |d-e| >= 4.at n=34A032988
- Convolution of nonzero squares A000290 with themselves.at n=9A033455
- LCM-convolution of squares A000290 with themselves.at n=9A033456
- Number of partitions of n^2 into squares.at n=12A037444
- Base-6 palindromes that start with 4.at n=19A043013
- Number of ternary Lyndon words whose digits sum to 0 mod 3; also number of trace 0 irreducible polynomials over GF(3).at n=10A046209
- Number of ternary Lyndon words whose digits sum to 1 (or 2) mod 3; number of trace 1 (or 2) monic irreducible polynomials over GF(3).at n=10A046211
- Numbers whose 5th power is expressible as the sum of two positive cubes.at n=51A051394
- Convolution triangle based on A001333(n), n >= 1.at n=37A054458
- A001333(n), n >= 1, convolved with itself.at n=7A054459
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 75 ).at n=39A063348
- Smallest a(n)>a(n-1) such that a(n)^2+a(n-1)^2 is a perfect square, a(1)=6.at n=24A076672
- Smallest a(n)>a(n-1) such that a(n)^2+a(n-1)^2 is a perfect square, a(1)=7.at n=20A076673
- Smallest a(n)>a(n-1) such that a(n)^2+a(n-1)^2 is a perfect square, a(1)=10.at n=20A076675
- Smallest a(n)>a(n-1) such that a(n)^2+a(n-1)^2 is a perfect square, a(1)=11.at n=18A076676
- Sum of odd-indexed primes.at n=34A077131
- Number of permutation polynomials over F_q of degree < q-2, as q runs through the prime powers >= 2.at n=5A078600