9406
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14112
- Proper Divisor Sum (Aliquot Sum)
- 4706
- 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
- 4702
- Möbius Function
- 1
- Radical
- 9406
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 60
- 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
- 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 96.at n=11A031594
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 62 ones.at n=11A031830
- Number of n-node rooted identity trees of height at most 8.at n=15A038087
- Diagonal of triangular spiral in A051682.at n=45A081268
- a(n) = smallest number k such that 2^n + k is a palindrome.at n=28A083463
- Numbers k such that the k-th triangular number contains only digits {1,2,4}.at n=7A119100
- Numbers k such that k, k^2 - 5, and k^2 + 5 are semiprime.at n=42A173085
- Numbers k that are the products of two distinct primes such that 2*k-1, 4*k-3, 8*k-7 and 16*k-15 are also products of two distinct primes.at n=38A177213
- a(n) = prime(n)^2-3.at n=24A182200
- Riordan array (((1+x)/(1-x-x^2))^m, x*A000108(x)), m=3.at n=48A185678
- Number of n X 2 0,1 arrays indicating 2 X 2 subblocks of some larger (n+1) X 3 binary array having an odd sum, with rows and columns of the latter in lexicographically nondecreasing order.at n=10A227675
- The hyper-Wiener index of the graph obtained by applying Mycielski's construction to the star graph K(1,n).at n=38A228319
- Number of partitions of n into 7 parts such that every i-th smallest part (counted with multiplicity) is different from i.at n=27A244243
- Number of sets of exactly four positive integers <= n having a square element sum.at n=43A281864
- Sum of the digit sums of the n-th powers of the first n positive integers.at n=42A287894
- Numbers k such that (7*10^k + 167)/3 is prime.at n=17A293758
- a(n) = Sum_{k=1..n} (A000292(n) mod A000217(k)).at n=44A344435
- E.g.f.: Product_{k>=1} (1 - (exp(x) - 1)^k / k!).at n=8A345759
- a(n) is the number of partitions of n in which no part is divisible by 3 minus the number of basis partitions of n.at n=48A350636
- Irregular table read by rows: T(n,k) is the number of k-sided regions, k>=3, in a graph of n adjacent rectangles in a row with all possible diagonals drawn, as in A306302, but without the rectangles' edges which are perpendicular to the row.at n=44A369178