5620
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 11844
- Proper Divisor Sum (Aliquot Sum)
- 6224
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2240
- Möbius Function
- 0
- Radical
- 2810
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 85
- 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
- Numbers that are the sum of 6 positive 6th powers.at n=40A003362
- Expansion of Product_{m>=1} (1 + m*q^m)^5.at n=7A022633
- Number of necklaces with 6 black beads and n-6 white beads.at n=18A032191
- All 81 combinations of prefixing and following a(n) by a single digit are nonprime.at n=1A032734
- Composite numbers k such that all the decimal concatenations ik and ikj (i, j = 1...9) are also composite.at n=0A032737
- Number of partitions of n into parts not of the form 9k, 9k+4 or 9k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 3 are greater than 1.at n=39A035943
- Expansion of ( 1-x ) / ( 1-3*x+x^2-x^3+x^4 ).at n=9A052985
- McKay-Thompson series of class 35A for Monster.at n=36A058640
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 59 ).at n=39A063332
- Convolution of A073709, which is also the first differences of the unique terms of A073709.at n=13A073710
- a(n) = sigma(n,2) + sigma(n+1,2).at n=46A092411
- G.f. satisfies: A(x) = F(x*A(x)), where F(x) is the g.f. of A094600.at n=7A094601
- Number of 3 X n binary matrices avoiding simultaneously the right angled numbered polyomino patterns (ranpp) (00;1) and (11;0).at n=6A099944
- Indices of primes in A001644 (the Lucas 3-step numbers).at n=27A104576
- Numbers n such that 2^(n+1)+2n+1 is prime.at n=27A105330
- a(n) = 8*n^2 + 8*n + 4.at n=26A108099
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+281)^2 = y^2.at n=6A129626
- Elias omega coded prime numbers represented in decimal.at n=17A147764
- 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, -1), (-1, -1, 1), (-1, 0, 1), (0, -1, 1), (1, 1, 0)}.at n=8A149143
- Sum of first n isolated (or single) primes A007510.at n=30A153478