10309
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 11346
- Proper Divisor Sum (Aliquot Sum)
- 1037
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9360
- Möbius Function
- 0
- Radical
- 793
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 29
- 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
- no
- Odd
- yes
Appears in sequences
- Discriminants of totally real quartic fields (see comments).at n=39A002769
- McKay-Thompson series of class 16A for Monster.at n=16A058514
- Sum of the remainders when n^2 is divided by squares less than n.at n=42A067459
- Numbers k such that (k / sum of digits of k) and (k+1 / sum of digits of k+1) are both semiprime.at n=16A085774
- Interpolate 0's between each pair of digits of n-th prime.at n=33A092909
- Numbers k such that k and k^2 together contain all ten digits.at n=29A122477
- Expansion of (chi(q)^4 / chi(-q))^2 in powers of q where chi() is a Ramanujan theta function.at n=8A143895
- Smallest number m such that prime(n) is a factor of both m and sigma(m).at n=17A156099
- a(n) = 61*n^2.at n=13A174333
- Least k such that 4*n*k+1 is a prime of the form m^2+1, or 0 if no such k exists.at n=60A212275
- Partial sums of A006950.at n=33A233969
- Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 4 6 or 7.at n=1A252432
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 4 6 or 7.at n=29A252433
- Number of (2+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 4 6 or 7.at n=6A252435
- Number of length 4 1..(n+1) arrays with every leading partial sum divisible by 2, 3 or 5.at n=12A254831
- a(n) = (4*n+9)*n^2.at n=13A258618
- Field discriminant of n-th composite, f(f(...f(r)...)), where r = 3 and f(x) = [x,x,x, ...] (continued fraction).at n=2A260457
- Numbers with digit sum 13 that are multiples of 13.at n=38A283737
- Number of magic labelings of the prism graph I X C_6 having magic sum n.at n=5A292281
- Number of inseparable partitions of n; see Comments.at n=40A325535