2232
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 6240
- Proper Divisor Sum (Aliquot Sum)
- 4008
- 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
- 720
- Möbius Function
- 0
- Radical
- 186
- Omega Function (Ω)
- 6
- 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
- 45
- 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
- 10-gonal (or decagonal) numbers: a(n) = n*(4*n-3).at n=24A001107
- Expansion of 1/((1+x)*(1-x)^11).at n=5A001786
- Numbers k such that 33*2^k - 1 is prime.at n=29A002240
- Number of bifix-free (or primary, or unbordered) words of length n over a two-letter alphabet.at n=13A003000
- Unique period lengths of primes mentioned in A007615.at n=44A007498
- Coordination sequence T3 for Zeolite Code -WEN.at n=34A009864
- Super-3 Numbers (3n^3 contains substring '333' in its decimal expansion).at n=17A014569
- a(n) = floor( Gamma(n+5/7)/Gamma(5/7) ).at n=7A020075
- a(n) is least k such that k and 2k are anagrams in base n (written in base 10).at n=22A023094
- Every suffix prime and no 0 digits in base 5 (written in base 5).at n=10A024780
- Coordination sequence T2 for Zeolite Code MWW.at n=32A024987
- Expansion of (theta_3(z)*theta_3(19z) + theta_2(z)*theta_2(19z))^3.at n=39A028643
- Even 10-gonal (or decagonal) numbers.at n=12A028994
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 4.at n=34A031428
- Numbers using only digits 2 and 3.at n=16A032810
- Theta series of lattice D3 tensor D3* (dimension 9, det. 262144, min. norm 6).at n=12A033694
- Expansion of g.f. x*(1 + 3*x)/((1 + x)*(1 - x)^3).at n=47A035608
- Number of partitions of n into parts not of form 4k+2, 24k, 24k+1 or 24k-1. Also number of partitions in which no odd part is repeated, with no part of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=48A036029
- Numbers divisible by the sum and product of their digits.at n=32A038186
- First gap of n in sequence A038593 (upper terms).at n=35A038662