10263
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14976
- Proper Divisor Sum (Aliquot Sum)
- 4713
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6200
- Möbius Function
- -1
- Radical
- 10263
- Omega Function (Ω)
- 3
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 55
- 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
- no
- Odd
- yes
Appears in sequences
- Number of trees of diameter 6.at n=11A000251
- Numbers with exactly five distinct base-10 digits.at n=18A031987
- Denominators of continued fraction convergents to sqrt(389).at n=12A041739
- a(n) = A083964(n)/(2n-1).at n=8A083965
- Dimension of invariants of n-th tensor power of 5-dimensional irreducible representation of B_2.at n=12A095922
- Expected value of trace(O)^(2n), where O is a 5 X 5 orthogonal matrix randomly selected according to Haar measure.at n=5A247304
- Array T(n,k) of the expected value of trace(O)^(2k), where O is an n X n orthogonal matrix randomly selected according to Haar measure, read by antidiagonals.at n=50A247306
- a(n) = Sum_{k=1..n} prime(k)^2*floor(n/prime(k)) .at n=44A280385
- Products of three distinct primes p1, p2 and p3 (sphenic numbers) with p1<p2 and p3 is the concatenation of p1 with p2.at n=4A281592
- Number of compositions of n containing no part p of multiplicity p.at n=15A336269
- Number of integer partitions of n with the same alternating product as alternating sum.at n=51A348552
- G.f.: Sum_{k>=0} x^(k^2) / Product_{j=1..k} (1 - x^(2*j-1))^2.at n=42A376581
- Number of 4 element sets of distinct integer sided rectangles that fill an n X n square.at n=27A387171