9826
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
- 8
- Divisor Sum
- 15660
- Proper Divisor Sum (Aliquot Sum)
- 5834
- 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
- 4624
- Möbius Function
- 0
- Radical
- 34
- Omega Function (Ω)
- 4
- 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
- 135
- 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
- Class numbers of quadratic fields.at n=25A002141
- a(n) = Sum_{k = 0..n} C(n,k)^5.at n=4A005261
- G.f.: 2*(1-x^3)/((1-x)^5*(1+x)^2).at n=32A005996
- Numbers k such that k | 13^k + 1.at n=23A015963
- 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 98.at n=14A031596
- a(n) = 2*n^3.at n=17A033431
- Numbers k that divide 8^k + 2^k.at n=27A045581
- Numbers k that divide 5^k + 3^k.at n=5A045585
- Numbers k that divide 10^k + 6^k.at n=19A045603
- Sum of a(n) terms of 1/k^(4/5) first exceeds n.at n=27A056180
- Numbers n such that n | 8^n + 7^n + 6^n + 5^n + 4^n + 3^n + 2^n + 1^n.at n=37A056751
- If D[n] is divisor-set of n, then in set of 1+D only 2 primes occur:{2,3}; also n is not squarefree.at n=29A072607
- Sum of two powers of 17.at n=9A073213
- Base 4 expansion of 1/n has equal percentage of each digit 0,1,2,3.at n=13A074709
- Number of primitive Pythagorean triangles with perimeter equal to A002110(n), the product of the first n primes.at n=19A077177
- Numbers n such that |real(zeta(1/2 + n*I))| exceeds all previous values, where zeta is the Riemann zeta function.at n=21A079630
- Numbers of the form p^3 + q^3, p, q primes.at n=33A086119
- Numbers k that divide 3^(k^3) + 1.at n=6A092408
- Column with index 3 of triangle A096651: a(n) = A096651(n+3,3).at n=8A096643
- Lower triangular matrix T, read by rows, such that the row sums of T^n form the n-dimensional partitions.at n=69A096651