11997
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 18304
- Proper Divisor Sum (Aliquot Sum)
- 6307
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7560
- Möbius Function
- 0
- Radical
- 3999
- Omega Function (Ω)
- 4
- 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
- 50
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = n*(25*n - 1)/2.at n=31A022282
- Base 6 digits are, in order, the first n terms of the periodic sequence with initial period 1,3.at n=5A037578
- a(n) = (n+3)^3 - n^3.at n=34A038865
- Number of isolated-pentagon fullerenes with 2n vertices (or carbon atoms).at n=28A086423
- L-th order palindromes with L > 2.at n=2A089381
- Indices of primes of the form k^2 - 11.at n=46A091273
- a(n) = (n+1)*prime(n) + n*prime(n+1).at n=36A097240
- Number of partitions of n with rank 3 (the rank of a partition is the largest part minus the number of parts).at n=51A101200
- Positive integers that are palindromes (of even length) in binary, each made by concatenating two identical binary palindromes.at n=17A161400
- Base 10 representation of A240602.at n=30A165785
- a(n) = Sum_{i=0..n} digsum_7(i)^3, where digsum_7(i) = A053828(i).at n=42A231678
- Decimal value of the bitmap of active segments in 7-segment display of the number n, variant 1: bits 0-6 refer to segments from top to bottom, left to right.at n=22A234691
- Numbers whose binary representation traces a non-selfcrossing circuit in the honeycomb lattice when each one of its bits, from the most significant to the least significant, is interpreted as a direction to proceed at each vertex.at n=45A255561
- Primitive values n such that the square with opposite corners (0,0) and (n,n) contains a point (x,y) with integer coordinates, with 0 < x,y < n, at an integer distance from three of the four corners.at n=21A260549
- a(n) = Sum_{d|n} (-1)^omega(n/d) * phi(rad(n/d)) * p(d), where p = A000041 (partition numbers).at n=33A333697
- a(n) is the number of edges formed by n-secting the angles of a nonagon (enneagon).at n=18A335783
- a(k) is the index of the first occurrence of 2*k-1 in A208884, or 0 if it does not occur.at n=54A335817
- The number of closed routes of the chess knight, different in shape, consisting of 2 * n jumps on a checkered field without repeating cells of the route.at n=4A356404
- Binary palindromic numbers whose digit sum and aliquot sum are also binary palindromic.at n=12A363965
- Number of integer partitions of n that are not of length 2 and do not contain n/2.at n=34A365825