5198
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8208
- Proper Divisor Sum (Aliquot Sum)
- 3010
- 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
- 2464
- Möbius Function
- -1
- Radical
- 5198
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 147
- 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
- Coordination sequence T3 for Zeolite Code -CHI.at n=46A009848
- a(n) = sum of the numbers between the two n's in A026358.at n=36A026361
- 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 72.at n=1A031570
- Number of dyslexic rooted planar trees with n nodes where any 2 subtrees extending from a node are of different sizes.at n=13A032048
- "BGK" (reversible, element, unlabeled) transform of 2,2,2,2,...at n=13A032061
- Number of binary [ n,3 ] codes without 0 columns.at n=24A034344
- Numerators of continued fraction convergents to sqrt(212).at n=9A041394
- a(n) = Sum_{i=0..n} T(i,n-i), array T as in A049735.at n=13A049736
- Number of rooted trees with n nodes and 3 leaves.at n=20A055278
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 95 ).at n=16A063368
- Least number k such that k has n anti-divisors.at n=35A066464
- Binomial transform of A002487.at n=11A071014
- Smallest of four consecutive integers divisible by four consecutive primes respectively.at n=30A072555
- Number of anti-divisors of n (A066272) sets a record.at n=21A073638
- Sums of terms of groups in A075626.at n=22A075629
- G.f.: A(x) = Product_{n>=1} 1/(1 - A007947(n)*x^n)^(1/n), where A007947(n) is the product of the distinct prime factors of n.at n=22A094947
- Consider the succession of single digits of A008585 (multiples of 3): 3 6 9 1 2 1 5 1 8 2 1 2 4 2 7 3 0 .... This sequence gives the lexicographically earliest derangement of A001651 (non-multiples of 3) that produces the same succession of digits.at n=50A097500
- Molien series for complete weight enumerators of Hermitian self-dual codes over the Galois ring GR(4,2) that contain the all-ones vector.at n=4A100023
- Numbers n such that 3*10^n + 4*R_n + 3 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=6A102969
- Numbers n such that 6*10^n + 3*R_n - 2 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=20A103032