7132
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 12488
- Proper Divisor Sum (Aliquot Sum)
- 5356
- 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
- 3564
- Möbius Function
- 0
- Radical
- 3566
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 49
- 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
- Powers of fifth root of 4 rounded to nearest integer.at n=32A018124
- Powers of fifth root of 4 rounded up.at n=32A018125
- Powers of fifth root of 16 rounded to nearest integer.at n=16A018160
- Powers of fifth root of 16 rounded up.at n=16A018161
- Numbers k such that the continued fraction for sqrt(k) has period 92.at n=12A020431
- Triangle read by rows of numbers of permutations eliminating just card k out of n in game of Mousetrap.at n=41A028306
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 42.at n=41A031540
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 36 ones.at n=30A031804
- Concatenate n-th prime and n-th composite.at n=19A038530
- a(n)=(s(n)+3)/10, where s(n)=n-th base 10 palindrome that starts with 7.at n=35A043086
- Numbers which, when expressed as a sum of distinct primes with maximum product, use a non-maximal number of primes.at n=30A053020
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 83 ).at n=25A063356
- First differences of A084449.at n=24A084465
- Position of first occurrence of n in A090544.at n=51A090546
- a(n) = 7*2^n - 3*n - 6.at n=10A097810
- Number of reduced Latin 4-dimensional hypercubes (Latin polyhedra) of order n.at n=3A100539
- Number of permutations of length n which avoid the patterns 1234, 3412, 3421.at n=9A116824
- Numbers k such that 2*F(k) + 1 is a prime, where F = A000045.at n=43A124067
- Number of 123-segmented permutations of length n.at n=9A125306
- E.g.f.: A(x) = Sum_{n>=0} exp(n*(n+1)/2*x)*x^n/n!.at n=6A135743