5967
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 10080
- Proper Divisor Sum (Aliquot Sum)
- 4113
- 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
- 3456
- Möbius Function
- 0
- Radical
- 663
- Omega Function (Ω)
- 5
- 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
- 142
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- 10-gonal (or decagonal) numbers: a(n) = n*(4*n-3).at n=39A001107
- Take solution to Pellian equation x^2 - n*y^2 = 1 with smallest positive y and x >= 0; sequence gives a(n) = y, or 0 if n is a square. A002350 gives values of x.at n=66A002349
- Quadrinomial coefficients: C(2+n,n) + C(3+n,n) + C(4+n,n).at n=16A005718
- Solution to Pellian: y such that x^2 - n*y^2 = +-1.at n=66A006703
- Solution to Pellian: y such that x^2 - n y^2 = +- 1, +- 4.at n=66A006705
- McKay-Thompson series of class 9A for Monster.at n=8A007266
- y values corresponding to the x values in A023677.at n=40A023678
- Odd 10-gonal (or decagonal) numbers.at n=19A028993
- Number of bracelets (turnover necklaces) of n beads of 2 colors, 5 of them black.at n=32A032279
- Lucky numbers that are decimal concatenations of n with n + 8.at n=0A032658
- Lucky numbers that are the smallest decimal concatenations of n with n + (0,1,2,3,...).at n=8A032661
- Smallest positive integer y satisfying the Pell equation x^2 - D*y^2 = 1 for nonsquare D.at n=58A033317
- Cycle of 2 steps possible for 'concatenate a(n) and nextprime(a(n)) is a prime'.at n=39A034592
- Number of partitions of n into parts not of the form 25k, 25k+12 or 25k-12. Also number of partitions with at most 11 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=31A036011
- Denominators of continued fraction convergents to sqrt(67).at n=9A041117
- Denominators of continued fraction convergents to sqrt(268).at n=9A041503
- McKay-Thompson series of class 9A for the Monster group with a(0) = 3.at n=8A045491
- Odd composite numbers divisible by the sum of their prime factors (counted with multiplicity).at n=20A046347
- Sum of smallest parts of all partitions of n.at n=29A046746
- Write fundamental unit for real quadratic field of discriminant n as x + y*omega; sequence gives values of y for n == 3 mod 4.at n=14A053375