5983
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6208
- Proper Divisor Sum (Aliquot Sum)
- 225
- 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
- 5760
- Möbius Function
- 1
- Radical
- 5983
- 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 paraffins C_n H_{2n} X_2 with n carbon atoms.at n=10A000636
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly seven 1's.at n=28A020443
- Number of partitions of n into parts not of the form 17k, 17k+2 or 17k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 7 are greater than 1.at n=36A035963
- Numbers whose base-4 representation contains exactly four 1's and three 3's.at n=4A045132
- Numbers k such that k! is divisible by the square of (f+d)!^2 for d = 0, 1 and 2 (and possibly larger d), where f = floor(k/2).at n=25A056068
- McKay-Thompson series of class 44c for Monster.at n=47A058683
- a(n) = 6*n^2 + 6*n + 31.at n=31A060834
- Fourth column (r=3) of FS(3) staircase array A062745.at n=30A062748
- Semiprimes p1*p2 such that p2>p1 and p2 mod p1 = 7.at n=30A064905
- a(n) is the unique odd positive solution y of 2^n = 7x^2 + y^2.at n=23A077021
- Number of triangular partitions of n of order 3.at n=25A084439
- Smallest multiple of prime(n) of the form r*prime(n-1) + s*prime(n-2). r and s are positive integers.at n=41A085950
- Output of the linear congruential pseudo-random number generator used in function rand() as described in Kernighan and Ritchie, when seeded with 0.at n=38A096554
- a(n) equals the (n*(n+1)/2)-th partial sum of the self-convolution cube of A010054, which has the g.f.: Sum_{k>=0} x^(k*(k+1)/2).at n=22A109414
- Fibonacci(p-J(p,5)) mod p^2, where p is the n-th prime and J is the Jacobi symbol.at n=43A113650
- The number of primes between n and n^3 (with n and n^3 excluded).at n=38A117491
- Numerator of sum of reciprocals of first n pentatope numbers A000332.at n=30A118411
- Second elementary symmetric function of divisors of n.at n=47A119616
- Indices of 4's in A090822.at n=26A157107
- G.f. is the polynomial (Product_{k=1..32} (1 - x^(3*k)))/(1-x)^32.at n=3A162739