10744
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 21600
- Proper Divisor Sum (Aliquot Sum)
- 10856
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 4992
- Möbius Function
- 0
- Radical
- 2686
- 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
- 99
- 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
- Smaller of an amicable pair: (a,b) such that sigma(a) = sigma(b) = a+b, a < b.at n=5A002025
- Number of partitions of n into 7 unordered relatively prime parts.at n=45A023027
- floor[2^n/Fibonacci(n)].at n=39A057861
- McKay-Thompson series of class 34A for Monster.at n=39A058638
- Amicable numbers.at n=10A063990
- Numbers k such that both k and k+1 are sums of two positive cubes.at n=3A085323
- Numbers which are the sum of two positive cubes and divisible by 17.at n=11A099178
- Smaller member of an infinitary amicable pair.at n=6A126169
- Infinitary amicable numbers.at n=11A127664
- G.f.: A(x) = exp( Sum_{n>=1} [ Sum_{k>=1} sigma(n,k)*x^k ]^n/n ).at n=5A159604
- a(n+1) = 5*a(n) - n.at n=6A164045
- Composite numbers k such that (Bell(k+1) - Bell(k)) mod k = 1.at n=4A179279
- Smallest amicable number of the form 2^n * p * q for which the larger member of the amicable pair has the same form, where p and q are distinct odd primes.at n=1A180330
- Irregular triangle in which row n consists of the smaller of pairs of amicable numbers of the form 2^n pq, with p and q odd primes.at n=2A180650
- Conjectured list of smallest terms of k-sociable cycles of order r.at n=11A183016
- Conjectured list of multisociable numbers.at n=16A183019
- Numbers k such that sigma(k) = sigma(sigma(k)-k).at n=14A206708
- Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 5.at n=30A209990
- Smaller members of regular amicable pairs.at n=3A215491
- Abundant numbers whose aliquot sequence is abundant, deficient, abundant, ..., etc.at n=7A234969