3132
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
- 8400
- Proper Divisor Sum (Aliquot Sum)
- 5268
- 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
- 1008
- Möbius Function
- 0
- Radical
- 174
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 123
- 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
- EULER transform of 3, 2, 2, 2, 2, 2, 2, 2, ...at n=12A000713
- Double-bitters: only even length runs in binary expansion.at n=38A001196
- a(n) = n concatenated with n + 1.at n=30A001704
- a(n) = 1 + a(floor(n/2))*a(ceiling(n/2)) for n > 1, a(1) = 3.at n=6A005510
- Coordination sequence T5 for Zeolite Code DDR.at n=35A008075
- Coordination sequence T2 for Zeolite Code EMT.at n=46A008087
- Coordination sequence T3 for Zeolite Code MEI.at n=41A008148
- Coordination sequence T1 for Zeolite Code VSV.at n=36A009914
- a(n) = floor(n*(n-1)*(n-2)/7).at n=29A011889
- Number of partitions of n into divisors of n.at n=53A018818
- Place where n-th 1 occurs in A023133.at n=44A022795
- Long leg of more than one primitive Pythagorean triangle.at n=24A024410
- a(n) = T(2n,n-1), T given by A026747.at n=5A026749
- a(n) = A027113(n, n+2).at n=10A027114
- a(n) = A027113(n, 2n-10).at n=7A027128
- Pair up the numbers.at n=15A030655
- Concatenation of two or more consecutive positive integers.at n=39A035333
- Numbers n such that BCR(n) = n, where BCR = binary-complement-and-reverse = take one's complement then reverse bit order.at n=47A035928
- Numbers divisible by the sum and product of their digits.at n=34A038186
- Coordination sequence Z12 for Zeolite Code STT.at n=37A038416