8938
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13860
- Proper Divisor Sum (Aliquot Sum)
- 4922
- 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
- 4320
- Möbius Function
- -1
- Radical
- 8938
- 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
- 4th power of rooted tree enumerator: linear forests of 4 rooted trees.at n=8A000300
- Numbers k such that the continued fraction for sqrt(k) has period 21.at n=41A020360
- a(n) = (3*n+1)*(4*n+1).at n=27A033577
- Divide natural numbers in groups with prime(n) elements and add together.at n=12A034956
- Number of two-rowed partitions of length 5.at n=24A070558
- Number of primes corresponding to n-th primeval number A072857(n).at n=52A076497
- Number of words with n letters in the National Scrabble Association Dictionary.at n=3A124015
- Numbers k such that k and k^2 use only the digits 3, 4, 7, 8 and 9.at n=6A137130
- Number of planar n X n X n binary triangular grids with mirror symmetry about one altitude with no more than 2 ones in any 2 X 2 X 2 subtriangle.at n=7A153909
- Number of binary strings of length n with no substrings equal to 0000, 0111 or 1110.at n=16A164443
- Numbers n such that 4n+1 is a palindromic prime.at n=29A192261
- Number of partitions of n such that the number of parts and the smallest part are not coprime.at n=46A201025
- Number of nonnegative integer arrays of length n+2*7-2 with new values introduced in order 0 upwards and every value appearing only in runs of at least 7.at n=29A211699
- Number of n X 2 0,1 arrays indicating 2 X 2 subblocks of some larger (n+1) X 3 binary array having a sum of three or less, with rows and columns of the latter in lexicographically nondecreasing order.at n=20A227265
- Number of (6+1) X (n+1) 0..1 arrays with every 2 X 2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically.at n=9A253703
- Number of unrooted self-avoiding walks of n steps on honeycomb lattice.at n=16A266925
- Least number k such that (k^2+1) mod s = prime(n) where s is the sum of the distinct primes dividing k^2+1, or 0 if no such k exists.at n=39A272175
- Even numbers that cannot be expressed as a sum of 3 or fewer terms of A035928.at n=23A278546
- Numbers k such that Bernoulli number B_{k} has denominator 498.at n=15A282773
- Number of n X 6 0..1 arrays with every element equal to 2, 3, 6 or 8 king-move adjacent elements, with upper left element zero.at n=11A298175