8438
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12660
- Proper Divisor Sum (Aliquot Sum)
- 4222
- 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
- 4218
- Möbius Function
- 1
- Radical
- 8438
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 158
- 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
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k.at n=30A024847
- 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 90.at n=23A031588
- Number of partitions of n into parts that are odd or == +- 2 (mod 10).at n=40A133153
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (-1, 1, 1), (1, 0, 1), (1, 1, 0)}.at n=7A150701
- a(n) = a(n-1) + A073053(a(n-1)).at n=37A173578
- a(n) = Fibonacci(n)*a(n-1) + 1, a(0) = 0.at n=7A176343
- a(n) = number of 9-digit primes with digit sum n, where n runs through the non-multiples of 3 in the range [2..80].at n=45A178884
- Parameters n for which the Tate-Shafarevich group Ш of the elliptic curve y^2=x^3-n has order 16.at n=44A179140
- Number of partitions of n in which any two parts differ by at most 9.at n=35A218511
- Number of n X 3 arrays with each row a permutation of 1..3 having at least as many downsteps as the preceding row, with rows in lexicographically nonincreasing order.at n=34A222001
- Number of partitions p of n such that max(p) - 3*min(p) is a part of p.at n=38A238627
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 902", based on the 5-celled von Neumann neighborhood.at n=33A273760
- Number of binary strings of length n avoiding 4-antipowers.at n=25A275061
- Sum of the smallest parts of the partitions of n into 9 parts.at n=44A326465
- Irregular triangle read by rows: T(n,k) is the number of distinct Wilf classes of subsets of exactly k patterns in S_n, for 0 <= k <= n!.at n=19A346624
- Squarefree semiprimes (products of two distinct primes) between sphenic numbers (products of three distinct primes).at n=23A362507
- Number of partitions of n such that the least part occurs exactly (1/4)*(number of parts) times.at n=49A386361