10191
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14080
- Proper Divisor Sum (Aliquot Sum)
- 3889
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6552
- Möbius Function
- -1
- Radical
- 10191
- 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
- 73
- 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
- a(n) = n*(11*n+1)/2.at n=43A022269
- Duplicate of A022269.at n=42A026817
- Lucky numbers that are the sum of the first k primes for some k.at n=7A046286
- Number of nonempty subsequences {s(k)} of 1..n such that the difference sequence is palindromic.at n=20A053599
- Row sums of triangle A054446 (partial row sums triangle of Fibonacci convolution triangle).at n=9A054447
- Triangle of partial row sums of triangle A054446(n,m), n >= m >= 0.at n=45A054448
- Records in the Conway's alimentary function A070871.at n=46A070926
- Smallest k such that the simple continued fraction for Sum(d|k, 1/d) contains exactly n elements.at n=14A071865
- Pair the odd numbers such that the k-th pair is (r, r+2k) where r is the smallest odd number not included earlier: (1, 3), (5, 9), (7, 13), (11, 19), (15, 25), (17, 29), (21, 35), (23, 39), (27, 45), ... This is the sequence of the product of the members of pairs.at n=24A075320
- Numbers k such that average of prime(k) and prime(k+1) is a perfect square.at n=41A076692
- Triangle formed by dividing row n of A083764 by n.at n=44A083768
- Sum of first 2n primes.at n=34A109722
- Starting numbers for which the RATS sequence has eventual period 14.at n=38A114615
- a(n) = 5*2^n - 4*n - 5.at n=10A126284
- G.f. satisfies A(x) = 1 + x*(1 + x*A(x)^2)^3.at n=8A137953
- A051838 gives numbers m such that the sum of first m primes divides the product of the first m primes. This sequence gives corresponding values of the sum of first m primes.at n=16A140763
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0), ending on the vertical axis and consisting of 2 n steps taken from {(-1, 1), (1, -1), (1, 0)}.at n=7A151498
- a(n) = 392*n - 1.at n=25A158004
- a(n) = 784*n - 1.at n=12A158399
- a(n) = 52*n^2 - 1.at n=13A158640