9192
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 23040
- Proper Divisor Sum (Aliquot Sum)
- 13848
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3056
- Möbius Function
- 0
- Radical
- 2298
- Omega Function (Ω)
- 5
- 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
- 47
- 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
- Number of partitions of n into at most 6 parts.at n=50A001402
- Number of connected graphs on n labeled nodes on a circle with straight-line edges that don't cross.at n=6A007297
- Positive numbers having the same set of digits in base 7 and base 9.at n=44A037439
- (s(n)+1)/10, where s(n)=n-th base 10 palindrome that starts with 9.at n=41A043088
- Number of poly-IH73-tiles (holes allowed) with n cells.at n=9A056779
- Engel expansion of zeta(7)=sum(i>0,1/i^7).at n=5A067915
- Partition the concatenation 1234567...of natural numbers into successive strings which are even, all different and > 2. (0 never taken as the most significant digit.)at n=58A077295
- Partition the concatenation 1234567... of natural numbers into successive strings which are multiples of 3 all different and > 3. (0 never taken as the most significant digit.)at n=57A077296
- Pascal-(1,6,1) array.at n=51A081581
- Pascal-(1,6,1) array.at n=48A081581
- Natural numbers written out with their digits grouped in sets of 5 (leading zeros omitted).at n=34A091341
- Nontrivial slowest increasing sequence whose succession of digits is that of the nonnegative integers.at n=46A098080
- Number of partitions of n with rank 2 (the rank of a partition is the largest part minus the number of parts).at n=49A101199
- Numbers m such that Sum_{k=0..10} (m+k)^2 is a square.at n=4A106521
- Number array whose rows are the series reversions of x(1-x)/(1+x)^k, read by antidiagonals.at n=41A107111
- a(n) = 49n^2 - 28n - 20.at n=13A118058
- Duplicate of A081581.at n=48A143679
- Duplicate of A081581.at n=51A143679
- Successive differences of A000990.at n=25A147766
- a(n) = 16*n^2 - n.at n=23A157446