9452
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
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17640
- Proper Divisor Sum (Aliquot Sum)
- 8188
- 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
- 4416
- Möbius Function
- 0
- Radical
- 4726
- 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
- Coordination sequence for hexagonal close-packing.at n=30A007899
- a(0) = 1, a(n) = 42*n^2 + 2 for n>0.at n=15A010023
- a(n) = prime(n)*(prime(n-1)-1)/2.at n=31A014302
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite VET = VPI-8 [Si17O34] starting with a T5 atom.at n=12A019251
- a(n) = 2*n*(4*n + 3).at n=34A033587
- Number of partitions of n into parts not of the form 13k, 13k+4 or 13k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 5 are greater than 1.at n=37A035952
- Denominators of continued fraction convergents to sqrt(819).at n=13A042581
- Numbers whose base-5 representation contains exactly three 0's and two 3's.at n=35A045201
- Triangle T(n,k) is the number of restricted growth strings (RGS) of set partitions of {1..n} that have an increase at index k (1<=k<n).at n=33A056861
- Numbers k such that k^512 + 1 is prime.at n=27A057465
- Numbers m such that [A070080(m), A070081(m), A070082(m)] is an acute scalene integer triangle with prime side lengths.at n=25A070123
- a(n) = T(p(n)) - p(T(n)) = Commutator[triangular numbers, primes] at n.at n=41A123907
- One-fourth of partial sums of A153976.at n=15A153977
- Number of binary strings of length n with equal numbers of 00000 and 10001 substrings.at n=14A164188
- Multiples of 17 whose reversal + 1 is also a multiple of 17.at n=29A166391
- Triangle of coefficients of polynomials concerning Newman-like phenomenon of multiples of b+1 in even base b in interval [0,b^n) (see comment).at n=51A212822
- Bihappy numbers: numbers that reach 1 under iteration of the sum-of-squares-of-two-digits map s_2.at n=29A257795
- Sum of the lengths of the arithmetic progressions in {1,2,3,...,n}, including trivial arithmetic progressions of lengths 1 and 2.at n=31A264100
- p*B_(p-1)+1 modulo p^2, where p = prime(n) and B_i denotes the i-th Bernoulli number.at n=33A268000
- Number of sets of primes less than the n-th prime whose sum is the n-th prime.at n=48A334292