12128
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 23940
- Proper Divisor Sum (Aliquot Sum)
- 11812
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6048
- Möbius Function
- 0
- Radical
- 758
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 2
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
- 63
- 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
- Numbers k such that (k / product of digits of k) is 1 or a prime.at n=34A001103
- Numbers k such that sigma(k) = sigma(k+8).at n=19A015876
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 55.at n=21A031553
- a(0) = a(1) = 1; a(n) = a(n-1) + (n+1)*a(n-2).at n=9A059480
- Numbers k such that k + the reversal of k is a square.at n=43A061230
- Numbers n such that phi(2n+1) = sigma(n).at n=33A067229
- Numbers k such that sigma(k) = phi(k*omega(k)+1).at n=42A067879
- Number of perfect powers (A001597) not exceeding 2^n.at n=27A070228
- Value of n such that for any value of n, Pi^n is closer to its nearest integer than any value of Pi^k for 1 <= k < n.at n=8A080052
- Numbers k such that 7*10^k + 5*R_k - 4 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=20A103060
- Matrix logarithm of triangle A111536.at n=38A111541
- Column 2 of triangle A111541, which is the matrix logarithm of A111536.at n=6A111543
- Sums of rows of the triangle in A116366.at n=42A116367
- a(n) is the smallest integer > a(n-1) such that {Pi^a(n)} < {Pi^a(n-1)}, where {x} = x - floor(x), a(1)=1.at n=11A137994
- Half the number of n X n symmetric binary matrices with adjacent rows differing in at most one position.at n=12A140176
- Numbers k such that the fractional part of Pi^k is less than 1/k.at n=13A153710
- a(n) = ((5 + sqrt(18))*(2 + sqrt(8))^n + (5 - sqrt(18))*(2 - sqrt(8))^n)/2.at n=5A164593
- Number of n X 3 binary arrays indicating whether each 2 X 2 subblock of a larger binary array has lexicographically increasing rows and columns, for some larger (n+1) X 4 binary array with rows and columns of the latter in lexicographically nondecreasing order.at n=7A227086
- T(n,k)=Number of nXk binary arrays indicating whether each 2X2 subblock of a larger binary array has lexicographically increasing rows and columns, for some larger (n+1)X(k+1) binary array with rows and columns of the latter in lexicographically nondecreasing order.at n=47A227089
- T(n,k)=Number of nXk binary arrays indicating whether each 2X2 subblock of a larger binary array has lexicographically increasing rows and columns, for some larger (n+1)X(k+1) binary array with rows and columns of the latter in lexicographically nondecreasing order.at n=52A227089