12363
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 17808
- Proper Divisor Sum (Aliquot Sum)
- 5445
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7584
- Möbius Function
- -1
- Radical
- 12363
- 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
- 37
- 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
- no
- Odd
- yes
Appears in sequences
- Largest number not the sum of distinct n-th-order polygonal numbers.at n=36A007419
- Numbers k such that 215*2^k+1 is prime.at n=9A032484
- Number of planar polyhexes with n cells and a single hole of size at least 2.at n=12A038140
- Numbers k such that k^2 contains exactly 9 different digits.at n=6A054037
- 4n^2+1, 2n^2+1, 2n^2-1 are all prime.at n=29A055755
- Numbers whose square is a zeroless pandigital number (i.e., use the digits 1 through 9 once).at n=1A071519
- Expansion of (1+x^4*C^3)*C^3, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.at n=8A071752
- Second (k=2) triangle of numbers related to totally asymmetric exclusion process (case alpha=1, beta=1).at n=42A115127
- Partial sums of A064061.at n=3A115133
- Third diagonal sequence of triangle A115127.at n=6A115134
- Numbers whose square is a permutational number A134640.at n=35A134742
- a(n) = n*(8*n+5).at n=39A139277
- Numbers k such that 120*k + 1 is a term in A163573.at n=41A163625
- a(n) = (9 + 14*n + 12*n^2 + 4*n^3)/3.at n=20A166911
- First number in the n-th row of A172002.at n=41A168388
- a(n) = Sum_{j=1..n} Sum_{i=1..n} F(i,j), where F is the Fibonacci fusion array of A202453.at n=8A202462
- G.f.: x^(k^2)/(mul(1-x^(2*i),i=1..k)*mul(1+x^(2*r-1),r=1..oo)) with k=3.at n=47A246579
- Ulam numbers k such that k/3 is also an Ulam number.at n=25A287212
- Length of n-th iterate of the mapping 00->0010, 01->100, 10->000 in A289235.at n=15A289153
- Numbers whose square contains all of the digits 1 through 9.at n=1A294661