5103
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 14
- Divisor Sum
- 8744
- Proper Divisor Sum (Aliquot Sum)
- 3641
- 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
- 2916
- Möbius Function
- 0
- Radical
- 21
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 2
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
- 85
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers of the form 3^i*7^j with i, j >= 0.at n=23A003594
- Degrees of irreducible representations of McLaughlin group McL.at n=13A003909
- Pentagonal numbers written backwards.at n=45A004163
- a(n) = 7*3^n.at n=6A005032
- a(n) = a(n-1) + a(n-6), with a(i) = 1 for i = 0..5.at n=37A005708
- Coordination sequence T9 for Zeolite Code EUO.at n=44A008104
- Triangle of coefficients in expansion of (1+3*x)^n.at n=33A013610
- Triangle of coefficients in expansion of (1+3*x)^n.at n=34A013610
- Numbers k that divide s(k), where s(1)=1, s(j)=7*s(j-1)+j.at n=32A014854
- Numbers k such that k divides 4^k - 1.at n=32A014945
- Integers k such that k divides 22^k - 1.at n=41A014959
- Odd numbers k that divide 25^k - 1.at n=42A014962
- Numbers k such that k | 5^k + 1.at n=31A015951
- Expansion of 1/(1 - x^6 - x^7 - x^8 - ...).at n=43A017900
- Numbers of form 7^i*9^j, with i, j >= 0.at n=13A025631
- a(n) = T(2n,n-2), T given by A026648.at n=5A026651
- Cube of lower triangular normalized binomial matrix.at n=29A027465
- Cube of lower triangular normalized binomial matrix.at n=30A027465
- a(n) = (n-1)*3^(n-2), n > 0.at n=7A027471
- Third convolution of the powers of 3 (A000244).at n=5A027472