1182
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2376
- Proper Divisor Sum (Aliquot Sum)
- 1194
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 392
- Möbius Function
- -1
- Radical
- 1182
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 57
- 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 n-bead necklaces with 2 colors when turning over is not allowed; also number of output sequences from a simple n-stage cycling shift register; also number of binary irreducible polynomials whose degree divides n.at n=14A000031
- Length of n-th term in Look and Say sequences A005150 and A007651.at n=24A005341
- Number of vertex-transitive graphs with n nodes.at n=28A006799
- Coordination sequence T3 for Zeolite Code AFR.at n=26A008021
- Coordination sequence T1 for Zeolite Code LOV.at n=23A008134
- Coordination sequence T4 for Zeolite Code TER.at n=23A016436
- Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15-x^16).at n=38A017856
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite RSN = RUB-17 K4Na12[Zn8Si28O72].18H2O starting with a T4 atom.at n=10A019218
- Numbers k such that the continued fraction for sqrt(k) has period 20.at n=23A020359
- a(n) = 7^n - n^6.at n=5A024081
- [ (4th elementary symmetric function of S(n))/(3rd elementary symmetric function of S(n)) ], where S(n) = {first n+3 positive integers congruent to 2 mod 3}.at n=54A024403
- Antisigma(n): Sum of the numbers less than n that do not divide n.at n=49A024816
- Sum of remainders of n mod prime(k), for k = 1,2,3,...,n.at n=39A024925
- a(n) = position of 3*n^2 in sequence A025051 (numbers of form j*k + k*i + i*j, without repetitions, where 1 <= i <= j <= k).at n=19A025056
- Expansion of Product_{m>=1} (1 + q^m)^(2*m).at n=9A026011
- Sequence satisfies T^2(a)=a, where T is defined below.at n=38A027590
- a(n) = 3*n^2 - 7*n + 6.at n=21A027599
- Numbers k such that the continued fraction for sqrt(k) has even period 2*m and the m-th term of the periodic part is 10.at n=43A031413
- Number of partitions of n into parts 5k+1 and 5k+4 with at least one part of each type.at n=51A035633
- Numbers k such that the numbers of partitions and partitions-into-distinct-parts of k are both multiples of 12.at n=20A035702