10430
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- 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)
- 11170
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- yes
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3552
- Möbius Function
- 1
- Radical
- 10430
- 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
- 86
- 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
- Weird numbers: abundant (A005101) but not pseudoperfect (A005835).at n=7A006037
- a(n) = n*(17*n + 1)/2.at n=35A022275
- Number of 3's in n-th term of A022470.at n=38A022474
- Number of 3's in n-th term of A006711.at n=38A022479
- Positive numbers k such that k and 3*k are anagrams in base 9 (written in base 9).at n=40A023080
- Self-convolution of natural numbers >= 3.at n=34A023551
- a(n) = floor( tan(m*Pi/2) ), where m = 1 - 2^(-n).at n=13A024810
- a(n) = floor(n^3 / Pi).at n=32A032633
- Number of partitions of n into parts not of the form 17k, 17k+6 or 17k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 7 are greater than 1.at n=35A035967
- Numbers n such that 215*2^n-1 is prime.at n=19A050859
- Unitary weird numbers: unitary abundant (A034683) but not unitary pseudoperfect (A293188).at n=4A064114
- Total number of smallest parts in all partitions of n into odd parts.at n=41A092268
- Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 10001-11111-00100 pattern in any orientation.at n=16A147390
- First terms "a" of quadruples a>b>c>d>0 with six square pairwise sums.at n=25A175534
- Smallest k such that A002522(k) and A002522(k+2n) are successive primes of the form m^2+1.at n=29A245463
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 539", based on the 5-celled von Neumann neighborhood.at n=21A272803
- Bi-unitary weird numbers: bi-unitary abundant numbers (A292982) that are not bi-unitary pseudoperfect (A292985).at n=8A292986
- Solution of the complementary equation a(n) = 2*a(n-2) - b(n-2) + n, where a(0) = 3, a(1) = 4, b(0) = 1, and (a(n)) and (b(n)) are increasing complementary sequences.at n=24A295069
- Infinitary weird numbers: infinitary abundant numbers (A129656) that are not infinitary pseudoperfect numbers (A306983).at n=8A306984
- Weird numbers m (A006037) such that sigma(m)/m > sigma(k)/k for all weird numbers k < m, where sigma(m) is the sum of divisors of m (A000203).at n=1A330244