5978
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 10602
- Proper Divisor Sum (Aliquot Sum)
- 4624
- 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
- 2520
- Möbius Function
- 0
- Radical
- 854
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 49
- 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
- yes
- Odd
- no
Appears in sequences
- Number of partitions into one kind of 1's, two kinds of 2's, and three kinds of 3's.at n=31A002597
- a(n) = least 2k such that p is the least prime in a Goldbach partition of 2k, where p = prime(n).at n=24A025017
- Number of partitions of n into parts not of the form 9k, 9k+2 or 9k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 3 are greater than 1.at n=41A035941
- (s(n)+1)/9, where s(n)=n-th base 9 palindrome that starts with 8.at n=36A043079
- Number of nonnegative integer 3 X 3 matrices with sum of elements equal to n, under row and column permutations.at n=13A052365
- Numbers n such that phi(n) = product of the digits of n.at n=11A058627
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 92 ).at n=39A063365
- Second term in the continued fraction expansion of StieltjesGamma[n].at n=12A066034
- If D[n] is divisor-set of n, then in set of 1+D only 2 primes occur:{2,3}; also n is not squarefree.at n=18A072607
- Expansion of psi(x^3)^2 / f(-x^2) in powers of x where psi(), f() are Ramanujan theta functions.at n=52A097196
- Indices of primes in sequence defined by A(0) = 49, A(n) = 10*A(n-1) - 31 for n > 0.at n=11A101728
- Numbers n such that A001414(n) is a golden semiprime, where A001414 is the sum of primes dividing n (with repetition).at n=39A108219
- a(n) = (n+1)*(n+2)^2*(n+3)^2*(n+4)*(2*n^2 + 6*n + 5)/720.at n=4A108645
- Numbers k such that A118255(k) is prime.at n=15A118257
- a(n) integers with digit sum a(n); a(n+1) is the smallest integer > a(n).at n=31A136317
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (0, 0, 1), (0, 1, -1), (1, 0, 1)}.at n=7A150392
- Number of (w,x,y) with all terms in {0,...,n} and w<=x+y and x<=y.at n=23A212983
- Smallest number whose home prime (cf. A037274) is the home prime of exactly n natural numbers.at n=15A215408
- Numbers n such that 8^n + 3 is prime.at n=20A217354
- Positions of 3's in A234323.at n=1A234804