12110
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 25056
- Proper Divisor Sum (Aliquot Sum)
- 12946
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- yes
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4128
- Möbius Function
- 1
- Radical
- 12110
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 94
- 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
- Weird numbers: abundant (A005101) but not pseudoperfect (A005835).at n=13A006037
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 22.at n=9A031700
- Numerators of continued fraction convergents to sqrt(721).at n=10A042388
- Truncated triangular pyramid numbers: a(n) = (n-7)*(n^2 + 10*n - 108)/6, n >= 8.at n=34A051941
- McKay-Thompson series of class 35A for Monster.at n=41A058640
- Unitary weird numbers: unitary abundant (A034683) but not unitary pseudoperfect (A293188).at n=10A064114
- Multiples of 5 with digit sum 5.at n=32A069540
- Totally balanced decimal numbers: if we assign the weight w(d) = d-1 to each digit d (i.e., w(0) = -1, w(1) = 0, ..., w(9) = 8) and then read the digits of the term from left to right, the partial sum of the weights is never negative and the total weighted sum is zero.at n=30A071154
- Numbers in base -3.at n=33A073785
- Number of partitions into strokes of the star graph with n edges on the plane, up to rotations and reflections around the center node.at n=10A089243
- "Lazy binary" representation of n. Also called redundant binary representation of n.at n=38A089591
- a(0)=0; for n>0, a(n) = a(n-1)^2 + 10.at n=3A092500
- a(0)=0, a(1)=1, a(2)=10; for n>2, a(n) = a(n-1)^2 + 10.at n=4A092501
- 5-Smith numbers.at n=2A103126
- Numbers n such that p(6n) is prime, where p(n) is the number of partitions of n.at n=31A111036
- Locations of record values in A119323, interleaved with the record values.at n=20A119324
- 10 times A007623.at n=39A124252
- A triangular sequence designed with row sums near 3^n: t(n,m)=If[m == 0 || m == n, Floor[3^n/2^n], Floor[(3^n/2^n)*Binomial[n, m]] + 1].at n=59A153289
- a(n) = 484*n^2 + 2*n.at n=4A158325
- a(n) = 100*n^2 + 10.at n=11A158492