10073
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11520
- Proper Divisor Sum (Aliquot Sum)
- 1447
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8628
- Möbius Function
- 1
- Radical
- 10073
- Omega Function (Ω)
- 2
- 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
- 135
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Numbers k such that Fib(k) == 13 (mod k).at n=44A023178
- Convolution of Fibonacci numbers and A001950.at n=14A023612
- Sum of primes dividing the repunit numbers (with repetition).at n=12A064798
- Average of three successive primes squared, (prime(n)^2+prime(n+1)^2+prime(n+2)^2)/3, n>=3.at n=22A075893
- For n > 1, a(n) is the smallest number such that n-th concatenation is prime and the smallest palindrome beginning with (but not equal to) this concatenation is also prime.at n=25A088090
- G.f.: 1/(1 -2 x^3 - x^4 + x^5).at n=35A122518
- Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 1100-0111-0101 pattern in any orientation.at n=10A147218
- Partial sums of A023200.at n=32A172112
- Smallest k such that 40^k mod k = n.at n=45A178201
- Consider the function f(n)=1/(Abs(n-r)), where r is the Dottie number, A003957. Let g(n) be defined by the recursion g(n)=Cos(g(n-1)),g(0)=1. Now, a(n)=floor(f(g(n))).at n=20A180619
- Number of nondecreasing sequences of n 1..6 integers with every element dividing the sequence sum.at n=29A212534
- Numbers with exactly 12 nonprime substrings (substrings with leading zeros are considered to be nonprime).at n=3A213319
- Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that min(x(i) - x(i-1)) < number of distinct parts of p.at n=33A241823
- Expansion of f(-x^8)^2 / f(-x) in powers of x where f() is a Ramanujan theta function.at n=36A260164
- Number of nX3 0..1 arrays with every element equal to 0, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero.at n=16A298584
- Indices of primes followed by a gap (distance to next larger prime) of 38.at n=20A320717
- Record high points in A336957.at n=46A337646
- 1 - 1/a(n) is the largest resistance value of this form that can be obtained from a resistor network of not more than n one-ohm resistors.at n=16A339548
- Number of connected simple graphs on n unlabeled vertices without universal vertices.at n=8A367142