5961
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
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7952
- Proper Divisor Sum (Aliquot Sum)
- 1991
- 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
- 3972
- Möbius Function
- 1
- Radical
- 5961
- 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
- 49
- 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 unrooted achiral trees with n nodes.at n=30A003244
- Representation degeneracies for Neveu-Schwarz strings.at n=22A005295
- Juxtapose pairs of primes.at n=8A007795
- Numbers k such that the continued fraction for sqrt(k) has period 86.at n=11A020425
- Number of 2's in n-th term of A022482.at n=32A022485
- Ordered sequence of distinct terms of the form floor(exp(i) * floor(exp(j))), i,j >= 0.at n=36A022765
- a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026626.at n=6A026962
- 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 50.at n=33A031548
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 38 ones.at n=25A031806
- Numbers having four 3's in base 6.at n=23A043384
- Concatenate the n-th and (n+1)st prime.at n=16A045533
- Twin prime pairs concatenated in decimal representation.at n=6A095958
- Indices of primes in sequence defined by A(0) = 71, A(n) = 10*A(n-1) + 21 for n > 0.at n=18A101137
- Numbers n such that 55*10^n + 1 is prime.at n=13A109800
- List of primes with digits grouped into clumps of four. Leading zeros are not printed.at n=7A136420
- A triangular sequence designed with row sums 2*3^n.at n=39A153283
- A triangular sequence designed with row sums 2*3^n.at n=38A153283
- Exactly 10 consecutive odd integers starting with n are composite.at n=28A162023
- Triangle T(n,k), read by rows n>=0 with terms k=1..3^n, where row n lists the coefficients in the n-th iteration of (x+x^2+x^3).at n=30A166880
- Partial sums of Pillai primes (A063980).at n=28A172034