9457
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
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 11058
- Proper Divisor Sum (Aliquot Sum)
- 1601
- 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
- 8064
- Möbius Function
- 0
- Radical
- 1351
- 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
- 60
- 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
- Pseudoprimes to base 48.at n=42A020176
- Numbers k such that the continued fraction for sqrt(k) has period 74.at n=31A020413
- a(n) = [ (3rd elementary symmetric function of P(n))/(first elementary symmetric function of P(n)) ], where P(n) = {1, p(1), p(2), ..., p(n-1)}, where p(0) = 1.at n=12A024532
- a(n) = [ 2nd elementary symmetric function of {sqrt(k+1)} ], k = 1,2,...,n.at n=32A025219
- Odd 10-gonal (or decagonal) numbers.at n=24A028993
- T(n,n-1), array T given by A047010.at n=8A047013
- Consider all integer triples (i,j,k), j >= k > 0, with binomial(i+2,3)=j^3+k^3, ordered by increasing i; sequence gives k values.at n=16A054207
- Numbers k such that x^k + x^4 + 1 is irreducible over GF(2).at n=11A057463
- McKay-Thompson series of class 48A for Monster.at n=56A058691
- Number of divisors of n^n, or of A000312(n).at n=48A062319
- Composite numbers k such that the sum of the proper divisors of k not including 1, (Chowla's function, A048050) and their product (A007956) are both perfect squares.at n=26A064180
- Engel expansion of zeta(10) = Sum_{i>0} 1/i^10.at n=6A067918
- Numbers n such that n and n+2 are of the form p^2*q where p and q are distinct primes.at n=32A074173
- a(n) = 4*n^4 - 3*n^2.at n=6A079414
- Start with 1 and repeatedly reverse the digits and add 24 to get the next term.at n=37A118610
- a(n) = A144453(n)/16.at n=48A146537
- a(0)=2, a(n) = n^2+a(n-1).at n=30A153056
- B(n,k) an additive decomposition of (4^n-2^n)*B(n), B(n) the Bernoulli numbers (triangle read by rows).at n=23A154345
- a(n) = A056520(n)+1 for n>0, a(0)=1.at n=30A179904
- Total number of n-digit numbers requiring 8 positive biquadrates in their representation as sum of biquadrates.at n=4A186662