5953
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5954
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 5952
- Möbius Function
- -1
- Radical
- 5953
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 781
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/6.at n=38A001136
- a(n+6) = -a(n+5) + a(n+4) + 3a(n+3) + a(n+2) - a(n+1) - a(n). a(n) = sign(n) if abs(n)<=3.at n=31A001945
- Centered 12-gonal numbers, or centered dodecagonal numbers: numbers of the form 6*k*(k-1) + 1.at n=31A003154
- List of pairs of primes in reverse order, starting at 1.at n=8A007796
- Numbers k such that the continued fraction for sqrt(k) has period 67.at n=5A020406
- 2nd Bernoulli polynomial evaluated at powers of 2 (multiplied by 6).at n=5A020527
- Primes that remain prime through 2 iterations of the function f(x) = 8*x + 5.at n=43A023262
- Primes that remain prime through 3 iterations of function f(x) = 8x + 5.at n=11A023293
- Primes p such that digits of p appear in p^2 and p^3.at n=33A030085
- Number of polyhexes of class PF2 with a particular symmetry.at n=13A030525
- Upper prime of a difference of 14 between consecutive primes.at n=32A031933
- Numbers whose set of base-7 digits is {2,3}.at n=41A032807
- Number of planar simply-connected mono-q-polyhexes for q=4.at n=7A039626
- Number of palindromic primes less than 10^n.at n=10A050251
- Number of palindromic primes less than 10^n.at n=9A050251
- Fourth term of weak prime quintets: p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1) < p(m+1)-p(m).at n=14A054826
- Number of bracelet structures using a maximum of six different colored beads.at n=10A056356
- Primes p such that x^31 = 2 has no solution mod p.at n=23A059225
- a(1) = 7; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=38A074343
- Number of primes corresponding to n-th primeval number A072857(n).at n=49A076497