7497
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 13338
- Proper Divisor Sum (Aliquot Sum)
- 5841
- 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
- 4032
- Möbius Function
- 0
- Radical
- 357
- 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
- 62
- 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
- Degrees of irreducible representations of Held group He.at n=17A003912
- Degrees of irreducible representations of Held group He.at n=16A003912
- 11-gonal (or hendecagonal) pyramidal numbers: a(n) = n*(n+1)*(3*n-2)/2.at n=17A007586
- Expansion of 1/((1-x)*(1-2x)*(1-5x)*(1-6x)).at n=4A021114
- a(n) = n*(13*n - 1)/2.at n=34A022270
- a(n) = 49*(n-1)*(n-2)/2.at n=16A027469
- Numbers whose base-5 representation contains exactly two 2's and three 4's.at n=27A045288
- a(n)=T(n,n+3), array T as in A049735.at n=33A049743
- Numbers n such that n | 9^n + 8^n + 7^n + 6^n + 5^n + 4^n + 3^n.at n=50A057267
- Number of planar planted trees with n non-root nodes and without isolated 2-valent nodes.at n=12A061575
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 79 ).at n=29A063352
- 9 times octagonal numbers: a(n) = 9*n*(3*n-2).at n=17A064201
- Numbers k such that sigma(core(k)) = tau(k) where core(k) is the squarefree part of k, tau(k) is the number of divisors of k, and sigma(k) is their sum.at n=42A069827
- Numbers k such that the sum of the digits of k equals the sum of the prime divisors of k.at n=32A070275
- Smallest number m such that m and the product of digits of m are both divisible by 7n, or 0 if no such number exists.at n=20A073908
- Smallest number m such that m and the product of digits of m are both divisible by 7n, or 0 if no such number exists.at n=62A073908
- Smallest number m such that m and the product of digits of m are both divisible by 3n, or 0 if no such number exists.at n=48A073910
- a(1) = 1, a(n) = a(n-1) + phi(a(n-1)).at n=17A074693
- a(n) = smallest k such that 4k has a digit sum = n.at n=35A077490
- a(n) = n * [1 + sum(k=1 to n) prime(k)].at n=17A083725