1892
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 3696
- Proper Divisor Sum (Aliquot Sum)
- 1804
- 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
- 840
- Möbius Function
- 0
- Radical
- 946
- 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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 37
- 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
- a(n) = n^2*Product_{p|n} (1 + 1/p).at n=42A000082
- Number of inequivalent Costas arrays of order n under dihedral group.at n=17A001441
- a(n) = (3*n+1)*(3*n+2).at n=14A001504
- Oblong (or promic, pronic, or heteromecic) numbers: a(n) = n*(n+1).at n=43A002378
- Number of partitions of at most n into at most 5 parts.at n=23A002622
- a(n) = 2*n*(2*n-1).at n=22A002939
- Numbers k such that 4!*(2k-5)!/(k!*(k-1)!) is an integer.at n=13A004784
- 5!(2n-6)!/n!(n-1)! is an integer.at n=18A004785
- Coordination sequence T1 for Zeolite Code AFI.at n=30A008014
- Coordination sequence T2 for Zeolite Code AFR.at n=33A008020
- Coordination sequence T2 for Zeolite Code MAZ.at n=30A008145
- Coordination sequence T3 for Zeolite Code MOR.at n=28A008184
- Expansion of (1+x)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=47A008762
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^4)).at n=41A008804
- a(n) = lcm(n, sigma(n)).at n=42A009242
- If a, b in sequence, so is ab+7.at n=21A009312
- Coordination sequence T6 for Zeolite Code DFO.at n=33A009880
- Coordination sequence T1 for Zeolite Code WEI.at n=31A009917
- Positive nonsquare integers k such that each term of the regular continued fraction of sqrt(k) divides k.at n=42A013654
- a(n) = n*(n-1) + (n-2)*(n-3) + ... + 1*0 + 1 for n odd; otherwise, a(n) = n*(n-1) + (n-2)*(n-3) + ... + 2*1.at n=21A014112