2822
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4536
- Proper Divisor Sum (Aliquot Sum)
- 1714
- 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
- 1312
- Möbius Function
- -1
- Radical
- 2822
- Omega Function (Ω)
- 3
- 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
- 35
- 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
- Number of leftist trees with n leaves.at n=13A006196
- Coordination sequence T3 for Zeolite Code AEL.at n=35A008006
- Coordination sequence T1 for Zeolite Code MFS.at n=33A008173
- a(n) = floor(n*(n-1)*(n-2)/21).at n=40A011903
- Powers of sqrt(24) rounded to nearest integer.at n=5A017977
- Powers of sqrt(24) rounded up.at n=5A017978
- Powers of fourth root of 24 rounded to nearest integer.at n=10A018115
- Powers of fourth root of 24 rounded up.at n=10A018116
- Place where n-th 1 occurs in A023131.at n=44A022793
- [ (4th elementary symmetric function of S(n))/(2nd elementary symmetric function of S(n)) ], where S(n) = {first n+3 positive integers congruent to 1 mod 3}.at n=9A024223
- a(n) = least m such that if r and s in {1/1, 1/4, 1/7,..., 1/(3n-2)} satisfy r < s, then r < k/m < s for some integer k.at n=35A024822
- Least term in period of continued fraction for sqrt(n) is 6.at n=19A031430
- "BGK" (reversible, element, unlabeled) transform of 2,1,1,1,...at n=19A032062
- Numbers whose set of base-7 digits is {1,4}.at n=32A032819
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1 and 3 (mod 5).at n=50A035583
- Nearest integer to n^(5/2).at n=24A036488
- Number of integers m <= 2^n such that d(m) = 2^k for some k = 0, 1, 2, 3, ...at n=11A036538
- Numbers whose base-7 representation contains exactly four 1's.at n=12A043400
- Numbers having three 2's in base 10.at n=27A043499
- Numbers n such that string 7,5 occurs in the base 9 representation of n but not of n-1.at n=38A044319