9706
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15264
- Proper Divisor Sum (Aliquot Sum)
- 5558
- 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
- 4620
- Möbius Function
- -1
- Radical
- 9706
- 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
- 47
- 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( n*(n-1)*(n-2)/27 ).at n=65A011909
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 50 ones.at n=39A031818
- Sum of distances between greatest-part-order and length-order of partitions of n.at n=15A036051
- Consider the trajectory of n under the iteration of a map which sends x to 3x - sigma(x) if this is >= 0; otherwise the iteration stops. The sequence gives values of n which eventually reach 0.at n=15A037159
- Base-7 palindromes that start with 4.at n=18A043018
- Numbers k such that k^128 + 1 is prime.at n=25A056994
- Sum of n-th antidiagonal of array in A082002.at n=21A082005
- Expansion of (1+t^2+4*t^3+2*t^4+t^5+3*t^6)/((1-t)^2*(1-t^2)*(1-t^3)^2).at n=23A100779
- Sum of the sizes of the Durfee squares of all partitions of n into distinct parts.at n=46A116859
- Product of a prime number p and the number of primes smaller than p.at n=46A117495
- Number of 1's in row n of the Kolakoski fan A143477.at n=24A143587
- Number of compositions (p0, p1, p2, ...) of n with pi - p0 <= i and pi >= p0.at n=16A177510
- Number of (n+2)X(n+2) binary arrays with every 3X3 subblock commuting with each horizontal and vertical neighbor 3X3 subblock.at n=9A190024
- Number of 2 X 2 matrices with all elements in {0,1,...,n} and determinant in {0,1,...,n}.at n=16A209995
- Numbers k such that 2*k!! + 1 is a prime.at n=36A215775
- Floor(AGM(n^2, n^3)), where AGM denotes the arithmetic-geometric mean.at n=31A234362
- Number of partitions of n such that the number of even parts is a part and the number of odd parts is a part.at n=44A240575
- Triangle read by rows: T(n,m) (n >= 1, 1 <= m <= n) = number of set partitions of [n], avoiding 12343, with m blocks.at n=61A250118
- Numbers n such that Bernoulli number B_{n} has denominator 282.at n=27A272184
- a(n) is the position of first occurrence of n^2 in the concatenation of the positive integers in decimal representation.at n=51A290647