9436
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 18928
- Proper Divisor Sum (Aliquot Sum)
- 9492
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 4032
- Möbius Function
- 0
- Radical
- 4718
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- yes
- Odd
- no
Appears in sequences
- a(n) = Sum_{i=0..floor(n/2)} T(2i,n-2i), array T as in A049747.at n=38A049750
- Numbers k such that k | sigma_7(k).at n=40A055711
- McKay-Thompson series of class 30D for Monster.at n=33A058615
- Consider the family of simple graphs. Sequence gives the triangle read by rows giving coefficients of polynomials arising from enumeration of those graphs on n edges.at n=34A098234
- Least k such that k*Mersenne - prime(n) + 1 is prime.at n=19A098556
- Number of partitions of 2n prime to 3,5 with all odd parts occurring with even multiplicities. There is no restriction on the even parts.at n=32A103259
- Row sums of correlation triangle for floor((n+3)/3).at n=40A115266
- Partial sums of skinny numbers (A061909).at n=40A130596
- a(n) is the smallest number k such that k^n has the same digits as some other n-th power without leading zeros.at n=14A133208
- Expansion of 1 - q * (psi(q^5) / psi(q))^2 in powers of q where psi() is a Ramanujan theta function.at n=26A138520
- Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having exactly k entries that are midpoints of 321 patterns (0 <= k <= n-2 for n >= 2; k=0 for n=1).at n=24A145879
- Transform of the finite sequence (1, 0, -1) by the T_{1,0} transformation (see link).at n=11A159336
- Nearest k to j such that k*(2^j-1)+1 is prime where j=A000043(n) and 2^j-1 = Mersenne-prime(n) = A000668(n). If there are two k values equidistant from j, each of which produces a prime, the larger of the two gets added to the sequence.at n=19A159585
- Number of sensed unrooted combinatorial maps with n edges.at n=6A170946
- a(n) is the smallest number m from A173977 for which A020639(2m-1) = prime(n).at n=28A173979
- Triangle T(n,k), read by rows, given by (1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...) DELTA (0, 0, 1, 1, 2, 2, 3, 3, 4, 4, ...) where DELTA is the operator defined in A084938.at n=38A202992
- McKay-Thompson series of class 30D for the Monster group with a(0) = 2.at n=33A205962
- Expansion of q * (psi(-q^5) / psi(-q))^2 in powers of q where psi() is a Ramanujan theta function.at n=25A210458
- Number of 2 X 2 matrices having all elements in {0,1,...,n} and determinant in the closed interval [-n,n].at n=13A211031
- Expansion of 1 + q * (psi(-q^5) / psi(-q))^2 in powers of q where psi() is a Ramanujan theta function.at n=26A228864