7297
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7298
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 7296
- Möbius Function
- -1
- Radical
- 7297
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 163
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 930
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Truncated square numbers: 7*n^2 + 4*n + 1.at n=32A005892
- Number of intersections of diagonals in the interior of a regular n-gon.at n=23A006561
- Numbers k such that the continued fraction for sqrt(k) has period 95.at n=4A020434
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k.at n=39A024846
- Smallest nontrivial extension of n-th square which is a prime.at n=26A030685
- Smallest nontrivial extension of n-th cube which is a prime.at n=8A030692
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 36 ones.at n=35A031804
- Upper prime of a difference of 14 between consecutive primes.at n=37A031933
- Multiplicity of highest weight (or singular) vectors associated with character chi_64 of Monster module.at n=37A034452
- Expansion of sum ( q^n / product( 1-q^k, k=1..5*n), n=0..inf ).at n=26A035297
- Numbers k such that k-th and (k+1)-st term of A038593 differ by 6.at n=34A038637
- Row 4 of array in A047666.at n=11A047668
- Third term of strong prime 5-tuples: p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1).at n=19A054810
- Primes p with the following property: let d_1, d_2, ... be the distinct digits occurring in the decimal expansion of p. Then for each d_i, dropping all the digits d_i from p produces a prime number. Leading 0's are not allowed.at n=34A057876
- Primes with 3 distinct digits that remain prime (no leading zeros allowed) after deleting all occurrences of any one of its distinct digits.at n=24A057879
- Primes p such that x^19 = 2 has no solution mod p.at n=41A059244
- Concatenation of n^3 and 7.at n=8A061679
- a(n) = 10*n^2 + 7.at n=27A061722
- Primes starting and ending with 7.at n=13A062334
- Primes such that prime(p) +- pi(p) are simultaneously prime.at n=16A065117