10730
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
- 16
- Divisor Sum
- 20520
- Proper Divisor Sum (Aliquot Sum)
- 9790
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4032
- Möbius Function
- 1
- Radical
- 10730
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- yes
- Odd
- no
Appears in sequences
- Numbers k such that reverse(gpf(k)) = gpf(k+1), where gpf(n) = A006530(n); a(1)=1.at n=21A071844
- Numbers n such that sum of primes dividing n (with repetition) is equal to the largest prime factor of n+1.at n=18A071863
- a(n) = 2*n*(4*n-3).at n=37A139271
- Row sums of A186430.at n=10A186431
- Union of A071863 and A071861.at n=39A193458
- a(2) = 1, then (p-1)*(p-4)/2, with p = prime(n), n > 2.at n=33A200050
- Numbers n such that n^16+1 and (n+2)^16+1 are both prime.at n=18A217991
- Numbers that can be represented as a sum of two distinct nontrivial prime powers in three or more ways.at n=8A225104
- Minimum value unattainable as the sum of 3 attained values of a*b*c with a,b,c 0..n integers.at n=16A225265
- Numbers which are the sum of two squared primes in exactly four ways (ignoring order).at n=1A226599
- Numbers k that are the product of four distinct primes such that x^2+y^2 = k has integer solutions.at n=12A248712
- Numbers k such that (493*10^k - 7)/9 is prime.at n=21A275410
- a(n) = 5*(3*n+1)*(9*n+8)/2 (n>=0).at n=12A304508
- a(n) is the smallest positive integer x such that sqrt(2) + sqrt(x) is closer to an integer than any other value already in the sequence.at n=15A309815
- Number of integer partitions of n containing all prime indices of their parts.at n=40A324753
- Starts of runs of 3 consecutive Lucas-Niven numbers (A351714).at n=7A351716
- a(n) = the number of cubes (of integers > 0) that have bit length n.at n=46A365932
- Distinct values of A378664(k) in the order of appearance, when k ranges over those primitively abundant numbers k for which A378664(k) is less than the largest proper divisor of k.at n=16A378740