10323
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 15808
- Proper Divisor Sum (Aliquot Sum)
- 5485
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6480
- Möbius Function
- 0
- Radical
- 3441
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 117
- 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
- Partial sums of A001935; at one time this was conjectured to agree with A007478.at n=33A014605
- Positive numbers k such that k and 3*k are anagrams in base 4 (written in base 4).at n=5A023060
- Positive numbers k such that k and 3*k are anagrams in base 7 (written in base 7).at n=13A023069
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 15 ones.at n=11A031783
- Positive numbers having the same set of digits in base 4 and base 10.at n=40A037428
- Triangle T(n,k) giving number of 4 X k polyominoes with n cells (n >= 4, 1<=k<=n-3).at n=41A059684
- Integer part of log(n)^sqrt(n).at n=46A062463
- Numbers k such that sopf(k) = sopf(k+2), where sopf(k) = A008472(k).at n=12A063968
- Divisors of 10^15 - 1.at n=28A111117
- Weak Goodstein sequence starting at 11.at n=36A137411
- Maximal number of right triangles in n turns of Pythagoras's snail.at n=31A137515
- Expansion of 1/(x^k*(1-x-2*x^(k+1))) for k=4.at n=23A143447
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (0, 1, -1), (1, 0, 0), (1, 1, -1), (1, 1, 0)}.at n=8A149952
- Partial sums of Wagstaff numbers A000978.at n=22A172296
- Positive integers, written in base 4, with the property that if the base-4 representation is reversed the result is three times the original number.at n=1A223079
- Positions of 3's in A264977; positions of 6's in A277330.at n=29A277713
- Consider n equally spaced points along a line and join every pair of points by a semicircle above the line; a(n) is the number of intersection points.at n=24A290447
- Total volume of all rectangular prisms with dimensions p, q and (p + q)/2 such that p and q are squarefree, n = p + q and p <= q.at n=30A303222
- Coefficients in expansion of 1/(1 - x - 2*x^5).at n=27A318777
- Underline the central digit of all terms: the underlined digits reconstruct the starting sequence. This is also true if one translates the sequence in French and underlines the central letter of each word: the underlined letters spell the (French) sequence again. This is the lexicographically earliest sequence where repeated terms are admitted.at n=5A319718