9470
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 17064
- Proper Divisor Sum (Aliquot Sum)
- 7594
- 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
- 3784
- Möbius Function
- -1
- Radical
- 9470
- Omega Function (Ω)
- 3
- 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
- 153
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- a(n) = floor(Gamma(n+6/11)/Gamma(6/11)).at n=8A020054
- Number of distinct prime signatures of the positive integers up to 2^n.at n=47A025488
- Numbers k such that k | sigma_9(k) - phi(k)^9.at n=24A055703
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 95 ).at n=29A063368
- Interprimes which are of the form s*prime, s=10.at n=22A075285
- Triangle read by rows: T(n,k) is the number of partitions of the set {1,2,...,n}, having exactly k blocks consisting of entries of the same parity (0<=k<=n).at n=60A124424
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (0, 0, -1), (0, 0, 1), (1, 1, 1)}.at n=7A150762
- a(n) = Sum_{k=0..n} A109613(k)*A005843(n-k).at n=30A171218
- Smallest k>0 such that q=p+6k, 6kp+q, 6kp-q, 6kq+p and 6kq-p are simultaneously prime, or 0 if no such k exists, where p=A000040(n) is the n-th prime.at n=15A180476
- Total area of the shadows of the three views of a three-dimensional version of the shell model of partitions with n shells.at n=20A210970
- Number of (n+4) X 10 0..1 matrices with each 5 X 5 subblock idempotent.at n=10A224688
- The number of binary pattern classes in the (2,n)-rectangular grid with 3 '1's and (2n-3) '0's: two patterns are in same class if one of them can be obtained by a reflection or 180-degree rotation of the other.at n=31A225972
- Related to Pisano periods: numbers n such that there are n+10 distinct Fibonacci numbers mod n.at n=28A229467
- Numbers k with property that for every base b >= 2, there is a number m such that m+s(m) = k, where s(m) = sum of digits in the base-b expansion of m.at n=38A230624
- Number of up-down parking functions of length n.at n=7A260694
- Number of (1+1) X (n+1) arrays of permutations of 0..n*2+1 filled by rows with each element moved a city block distance of 1 or 2, and rows and columns in increasing lexicographic order.at n=10A263587
- Numbers k such that 8*10^k + 81 is prime.at n=19A287680
- Expansion of e.g.f. log(1 + x*tan(x/2)) (even powers only).at n=5A296837
- Partial sums of A108754.at n=33A307673
- Starts of runs of 3 consecutive Catalan-Niven numbers (A352508).at n=8A352510