5909
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
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6240
- Proper Divisor Sum (Aliquot Sum)
- 331
- 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
- 5580
- Möbius Function
- 1
- Radical
- 5909
- 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
- 23
- 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
- no
- Odd
- yes
Appears in sequences
- Number of symmetric plane partitions of n.at n=32A005987
- Number of paraffins.at n=28A005998
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite AWW = AlPO4-22 [Al24P24O96].2R starting with a T1 atom.at n=5A018992
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k=[ (n+1)/2 ], s = (natural numbers >= 2), t = (natural numbers >= 3).at n=37A024306
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = (F(2), F(3), F(4), ... ).at n=13A024861
- a(n) = 2*(n+1) + 3*n + ... + (k+1)*(n+2-k), where k = floor(n/2).at n=37A024868
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = floor( n/2 ), s = natural numbers >= 2, t = natural numbers >= 3.at n=36A024869
- Expansion of 1/((1-2x)(1-5x)(1-6x)(1-12x)).at n=3A025991
- Numbers whose set of base-14 digits is {1,2}.at n=28A032934
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 22.at n=28A051963
- Semiprimes p1*p2 such that p2>p1 and p2 mod p1 = 7.at n=29A064905
- Number of increasing subsequences that can be made from the sequence of successive numbers.at n=21A091955
- Numbers k such that prime(k)*prime(k)# - 1 is prime, where prime(k)# is the k-th primorial.at n=14A103538
- Largest number whose base-n representation does not contain any digit more than once and which is not divisible by any of its base-n digits, or 0 if no such number exists.at n=5A114342
- Concatenated list of the positive divisors of the terms of sequence A129645.at n=58A129646
- Integer part of 2^n/log(2^n).at n=15A141602
- Expansion of quotient of a Ramanujan false theta series by the theta series of triangular numbers in powers of x.at n=48A143065
- Consecutive Waterman having identical vfe counts yet different hulls.at n=42A159033
- Number of toothpicks after n stages of 3-D toothpick structure defined in Comments.at n=21A170876
- Inverse permutation to A190126.at n=23A190127