12174
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 24360
- Proper Divisor Sum (Aliquot Sum)
- 12186
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 4056
- Möbius Function
- -1
- Radical
- 12174
- 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
- 156
- 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
- Expansion of 1/((1+x)(1-x)^8).at n=10A001779
- Starting positions of strings of 3 0's in the decimal expansion of Pi.at n=7A050202
- Triangle T(n,k) of number of digraphs with a source and a sink on n unlabeled nodes and k arcs, k=0..n*(n-1).at n=54A057278
- McKay-Thompson series of class 42d for Monster.at n=50A058678
- a(n) = n^3 + 7.at n=23A084377
- Indices of primes in sequence defined by A(0) = 71, A(n) = 10*A(n-1) + 11 for n > 0.at n=12A101133
- a(n) = prime(n)^2 - prime(n^2). Commutator of (primes, squares) at n.at n=35A123914
- Sum of distinct residues of all factorials mod prime(n).at n=44A210185
- Number of partitions of n into exactly 4 different parts with distinct multiplicities.at n=34A212115
- Where records occur in A217287.at n=22A217289
- Number of n X 7 0..1 arrays with rows unimodal and columns nondecreasing.at n=4A225009
- T(n,k) = number of n X k 0..1 arrays with rows unimodal and columns nondecreasing.at n=59A225010
- Number of 5 X n 0..1 arrays with rows unimodal and columns nondecreasing.at n=6A225012
- The hyper-Wiener index of the Fibonacci cube Gamma(n) (n>=1).at n=7A246175
- Coefficients of g.f. for the class of multiply-rooted B-trees.at n=6A280769
- Signed recurrence over enriched r-trees: a(n) = (-1)^n + Sum_y Product_{i in y} a(y) where the sum is over all integer partitions of n - 1.at n=21A301470
- Successive negative minima of Gram's points g(n) of the Riemann zeta function.at n=6A326891
- Indices of record high values in A061836.at n=29A333533