2727
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4080
- Proper Divisor Sum (Aliquot Sum)
- 1353
- 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
- 1800
- Möbius Function
- 0
- Radical
- 303
- Omega Function (Ω)
- 4
- 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
- 128
- 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
- no
- Odd
- yes
Appears in sequences
- A generalized partition function.at n=13A002600
- From expansion of falling factorials.at n=7A005492
- Coordination sequence T2 for Zeolite Code MEI.at n=38A008147
- Coordination sequence T1 for Scapolite.at n=33A008262
- Coordination sequence T4 for Zeolite Code TER.at n=35A016436
- Doublets: base-10 representation is the juxtaposition of two identical strings.at n=26A020338
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly five 1's.at n=27A020441
- a(n) = a(n-1) + a(n-2) + 1 for n > 1, a(0)=1, a(1)=5.at n=14A022319
- Divisors of 10^12 - 1.at n=46A027897
- Numbers k such that in k and k^2 the parity of digits alternates.at n=25A030153
- Exactly 5 digits from {1,2,3,4,5,6,7,8,9} can precede a(n) to form a prime.at n=25A032695
- Multiplicity of highest weight (or singular) vectors associated with character chi_80 of Monster module.at n=34A034468
- Numbers n such that string 6,0 occurs in the base 9 representation of n but not of n-1.at n=37A044305
- Numbers k such that the string 6,6 occurs in the base 9 representation of k but not of k-1.at n=33A044311
- Numbers n such that string 6,0 occurs in the base 9 representation of n but not of n+1.at n=37A044686
- Numbers whose base-4 representation contains exactly four 2's and one 3.at n=29A045154
- Numbers k such that the k-th partition number A000041(k) is prime.at n=44A046063
- Odd numbers with exactly 4 palindromic prime factors (counted with multiplicity).at n=27A046374
- Digits d in decimal expansion of n replaced with d^3.at n=33A048390
- Numbers whose consecutive digits differ by 5.at n=29A048407