7037
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7296
- Proper Divisor Sum (Aliquot Sum)
- 259
- 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
- 6780
- Möbius Function
- 1
- Radical
- 7037
- Omega Function (Ω)
- 2
- 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
- 150
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Number of labeled nonseparable (or 2-connected) bicolored graphs with n nodes of the first color and n nodes of the second color.at n=3A005334
- Base-6 palindromes that start with 5.at n=29A043014
- Numbers whose base-5 representation contains exactly three 1's and three 2's.at n=10A045232
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 18.at n=37A050967
- An approximation to sigma_{5/2}(n): ceiling( sum_{d|n} d^(5/2) ).at n=31A058274
- Semiprimes p1*p2 such that p2 mod p1 = 10, with p2 > p1.at n=40A064908
- Least nontrivial multiple of the n-th prime beginning with 7.at n=48A078291
- Let G(t) be the set of numbers between 2^(t-1) and 2^t-1, inclusive. There is a unique number a(t) in G(t) so that the denominator of the a(t)-th partial sum of the double harmonic series is divisible by smaller 2-powers than its neighbors.at n=11A079403
- Start with {2} and close under the operations XY and XY+1; sequence gives complete list of numbers that do not appear.at n=92A093906
- Prime-th recurrence with reversal at each step.at n=9A100475
- Row sums of a triangle based on the Catalan numbers.at n=8A110489
- Triangle read by rows: T(n,k) is the number of specially labeled bicolored nonseparable graphs with k points in one color class and n-k points in the other class. "Special" means there are separate labels 1,2,...,k and 1,2,...,n-k for the two color classes (n >= 2, k = 1,...,n-1).at n=24A123301
- T(n,k) = (q*Sum_{j=0..k+1} (-1)^j*binomial(n+1, j)*(k+1-j)^n - p*binomial(n-1, k))/2 where p=12 and q=14.at n=46A141697
- T(n,k) = (q*Sum_{j=0..k+1} (-1)^j*binomial(n+1, j)*(k+1-j)^n - p*binomial(n-1, k))/2 where p=12 and q=14.at n=53A141697
- Numbers k such that the string k modulo 1000 is found at position k in the decimal digits of Pi.at n=23A153226
- Number of permutations of 1..n containing the relative rank sequence { 41235 } at any spacing.at n=3A158424
- First differences of A000219.at n=16A191659
- a(n) = n*(15*n-11)/2.at n=31A226489
- The growth series for the affine Weyl group F_4.at n=24A266784
- Numbers k such that A011544(k-1) is a prime.at n=6A283158