5990
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10800
- Proper Divisor Sum (Aliquot Sum)
- 4810
- 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
- 2392
- Möbius Function
- -1
- Radical
- 5990
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 49
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Expansion of Product_{m>=1} (1+q^m)^(-10).at n=8A022605
- a(1) = 2; a(n+1) = a(n)-th nonprime, where nonprimes begin at 1.at n=30A025003
- Expansion of g.f. 1/((1-2x)(1-3x)(1-9x)(1-11x)).at n=3A025953
- Number of strongly unimodal partitions of n (strongly unimodal means strictly increasing then strictly decreasing).at n=29A059618
- Number of homeomorphically irreducible multigraphs (or series-reduced multigraphs or multigraphs without nodes of degree 2) on 6 labeled nodes.at n=6A060536
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 85 ).at n=23A063358
- Numbers n such that 3^n + 2^(n-1) is prime.at n=35A082103
- Numbers k such that 9^k + 8^(k-1) is prime.at n=7A093795
- a(1) = 393; for n > 1, a(n) = a(n-1) + 1 + sum of distinct prime factors of a(n-1) that are < a(n-1). edit.at n=39A105210
- Rectangular table where column k equals row sums of matrix power A097712^k, read by antidiagonals.at n=40A125860
- Main diagonal of table A125860.at n=4A125861
- Column 4 of table A125860; also equals row sums of matrix power A097712^4.at n=4A125864
- a(n) = 250*n - 10.at n=23A154378
- Triangle, read by rows, T(n, k) = 2*binomial(n, k)*binomial(n+1, k)/(k+1) - (k! - n! + (n-k)!).at n=32A176152
- Triangle, read by rows, T(n, k) = 2*binomial(n, k)*binomial(n+1, k)/(k+1) - (k! - n! + (n-k)!).at n=31A176152
- a(n+1) = a(n) + floor(a(n)/7) with a(0) = 7.at n=54A182308
- a(n) = (9*11^n+1)/2.at n=3A199762
- Number of nX3 0..3 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=9A201446
- Number of 4-bead necklaces labeled with numbers -n..n not allowing reversal, with sum zero with no three beads in a row equal.at n=15A208946
- Total number of parts of multiplicity 5 in all partitions of n.at n=35A222705