9462
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 20160
- Proper Divisor Sum (Aliquot Sum)
- 10698
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2952
- Möbius Function
- 1
- Radical
- 9462
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 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
- Powers of cube root of 3 rounded down.at n=25A017982
- 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=14A031594
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1 and 2 (mod 5).at n=60A035582
- Numbers m such that m^2 ends in 444.at n=37A039685
- Number of asymmetric (identity) trees with n nodes and 4 leaves.at n=32A055335
- Last number of height n in Recamán's sequence A005132.at n=23A064293
- At these values of k the first, 2nd and 3rd cyclotomic polynomials all give prime numbers.at n=35A070020
- Let f(n) be 2n + POD(n) + 1 if n is even, otherwise 2n - POD(n) - 1, where POD(n) is the product of digits of n. Sequence gives smallest number requiring n iterations to reach a prime.at n=45A074808
- Numbers k such that A000984(k) mod k = 0 and A080383(k) != 7.at n=40A080392
- Number of partitions of n with rank 1 (the rank of a partition is the largest part minus the number of parts).at n=49A101198
- Sum of primes q with prime(n) < q < 2*prime(n).at n=44A108313
- Shadow of Pi.at n=44A110621
- Average of twin-prime pairs for pairs that are expressible as the sum of two triangular numbers.at n=21A117313
- a(n) = Sum {j=1..n} j*A001462(j).at n=43A143125
- Numbers k such that 28 plus the k-th triangular number is a perfect square.at n=8A154153
- Averages of twin prime pairs of A154546.at n=35A154548
- a(n) = 121*n^2 - 38*n + 3.at n=8A157443
- Number of binary strings of length n with equal numbers of 01001 and 01101 substrings.at n=14A164258
- Numbers n such that sum of the cubes of the digits of n^3 is a perfect cube.at n=45A164882
- Right hand diagonal of triangle A199476.at n=11A199477