5530
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
- 16
- Divisor Sum
- 11520
- Proper Divisor Sum (Aliquot Sum)
- 5990
- 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
- 1872
- Möbius Function
- 1
- Radical
- 5530
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 129
- 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
- Hexagonal pyramidal numbers, or greengrocer's numbers.at n=20A002412
- Expansion of 1/((1-x)^4*(1+x)).at n=38A002623
- cosh(arcsin(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+29/4!*x^4+140/5!*x^5...at n=7A012325
- Even hexagonal pyramidal numbers.at n=9A015226
- a(n) = n*(9*n + 1)/2.at n=35A022267
- a(n) = 1*(n) + 2*(n-1) + 3*(n-2) + ... + (n+1-k)*k, where k = floor((n+1)/2).at n=38A023855
- Number of partitions of n into prime power parts (1 excluded).at n=48A023894
- Number of 4-ary rooted trees with n nodes and height at most 6.at n=13A036611
- Numerators of continued fraction convergents to sqrt(22).at n=8A041034
- Numerators of continued fraction convergents to sqrt(198).at n=2A041366
- Numbers whose base-4 representation contains exactly four 1's and three 2's.at n=1A045108
- a(n) = T(2n-1,n), array T given by A048201.at n=37A048208
- Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 7 skipped primes.at n=32A050774
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 95 ).at n=17A063368
- a(n) = 15*n^2 + 6*n + 1.at n=19A080861
- 0*9, 1*8, 2*7, 3*6, 4*5; 10*19, 11*18, ..., 14*15; 20*29, 21*28, ..., 24*25; 30*39, ...at n=35A096229
- Number of partitions of n with rank 3 (the rank of a partition is the largest part minus the number of parts).at n=46A101200
- Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + k^11 + ... + k^53 + k^55 is prime.at n=44A124207
- Triangle read by rows: row n is the first row of the matrix M[n]^(n-1), where M[n] is the n X n tridiagonal matrix with main diagonal (2,3,3,...) and super- and subdiagonals (1,1,1,...).at n=40A124733
- a(n) is the number of polyominoes with n edges, including inner edges.at n=32A131487