9974
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14964
- Proper Divisor Sum (Aliquot Sum)
- 4990
- 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
- 4986
- Möbius Function
- 1
- Radical
- 9974
- 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
- 166
- 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
- yes
- Odd
- no
Appears in sequences
- Convolution of A000201 with itself.at n=27A023663
- Expansion of 1/((1-2*x)*(1-5*x)*(1-11*x)*(1-12*x)).at n=3A026308
- 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=23A031596
- Numbers whose base-5 representation contains exactly two 3's and three 4's.at n=31A045303
- a(n) = T(n,n-6), array T as in A055818.at n=7A055823
- First subsequent, disjoint occurrence of n consecutive nonprimes.at n=32A060064
- a(n) is the smallest positive d such that the n-th prime is the smallest prime p for which p+d is also prime.at n=32A101042
- A101042 sorted. There exists a prime p for which a(n) is the smallest positive d such that p is the smallest prime where p+d is also prime.at n=29A101043
- Composite numbers between largest n-digit prime and the smallest (n+1) digit prime.at n=17A109936
- Even numbers k such that if a person is born in year k and lives not more than 100 years, then he never celebrates his prime birthday on a prime year.at n=5A124658
- First differences of indices of A000043.at n=33A135701
- Sum of the number of arcs describing the set partitions of {1,2,...,n}.at n=6A200660
- Number of -1..1 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^(t+u+v)) having two, four, five or six distinct values for every i,j,k<=n.at n=11A211529
- Number of idempotent 3X3 0..n matrices.at n=26A222822
- The least semiprime (A001358) such that between it and the next n semiprimes, but not the next n+1 semiprimes, there are no primes.at n=14A228170
- G.f.: A(x) = x*exp( Sum_{n>=1} Sum_{d|n} A(d*x^n) / n ).at n=10A230352
- Number of inequivalent (mod D_4) ways to place 2 nonattacking knights on an n X n board.at n=18A243717
- Composite numbers n such that the quadratic form x^2+n*y^2 does not represent a prime strictly between n and 2n.at n=62A244030
- Positions of records in A249431.at n=9A249432
- a(n) = index of first odd prime number in the (n-th)-order Fibonacci sequence Fn, or 0 if no such index exists.at n=34A302990