2793
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 4560
- Proper Divisor Sum (Aliquot Sum)
- 1767
- 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
- 1512
- Möbius Function
- 0
- Radical
- 399
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 110
- 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
- One half of number of non-self-conjugate partitions; also half of number of asymmetric Ferrers graphs with n nodes.at n=30A000701
- a(n) = lcm(n, sigma(n)).at n=48A009242
- Coordination sequence T2 for Zeolite Code -CLO.at n=47A009851
- Coordination sequence T3 for Zeolite Code VET.at n=32A009904
- n is equal to the number of 3s in all numbers <= n written in base 5.at n=2A014895
- a(n) = Sum_{i=0..n} Sum_{j=i..2*i} A027052(i, j).at n=8A027068
- Number of partitions of n into an odd number of parts.at n=30A027193
- Coordination sequence T2 for Zeolite Code SAT.at n=38A027374
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 34.at n=27A031532
- Number of bracelets (turnover necklaces) of n beads of 2 colors, 5 of them black.at n=26A032279
- Sums of distinct powers of 7.at n=28A033044
- Coordination sequence T1 for Zeolite Code SBT.at n=42A033612
- Divisors = 1 (mod 4) of Descartes's 198585576189.at n=35A033870
- a(n) = n*(2*n+5)*(2*n+7).at n=7A035329
- Positive numbers having the same set of digits in base 2 and base 7.at n=23A037412
- Coordination sequence T9 for Zeolite Code STT.at n=35A038424
- Sums of 3 distinct powers of 7.at n=9A038482
- Numbers whose base-14 representation has exactly 4 runs.at n=32A043665
- Numbers k such that the string 4,3 occurs in the base 9 representation of k but not of k-1.at n=38A044290
- Numbers n such that string 9,3 occurs in the base 10 representation of n but not of n-1.at n=29A044425