6325
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 8928
- Proper Divisor Sum (Aliquot Sum)
- 2603
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4400
- Möbius Function
- 0
- Radical
- 1265
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 80
- 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
- Expansion of e.g.f.: cos(arcsin(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3-11/4!*x^4+10/5!*x^5...at n=8A012903
- a(n)/1000 gives sqrt(n) to 3 places after the decimal point.at n=39A027662
- Longest edge a of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a^2 + b^2), sqrt(b^2 + c^2), sqrt(a^2 + c^2) are integers).at n=12A031173
- a(n) = ceiling(sqrt(4*10^n)).at n=7A035071
- Numerators of continued fraction convergents to sqrt(466).at n=8A041888
- Numerators of continued fraction convergents to sqrt(635).at n=2A042218
- Numbers having four 0's in base 5.at n=34A043352
- Numbers k that divide 7^k + 3^k.at n=20A045586
- Denominators of row 4 of table described in A051714/A051715.at n=20A051723
- 23-gonal numbers: a(n) = n(21n-19)/2.at n=25A051875
- Number of 11-core partitions of n.at n=49A053691
- Binomial transform of A000013.at n=10A054196
- Numbers n such that n^2 can be split into two nonzero squares (perhaps with leading zeros) in exactly two different ways.at n=4A054737
- Engel expansion of Sum_{k>=0} 1/(4 + k)^k.at n=8A063187
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 67 ).at n=34A063340
- a(n) = 11*n^2 + 22*n.at n=22A067705
- Number of log-concave compositions (ordered partitions) of n.at n=38A069916
- a(1)=1, a(n) is the smallest integer > a(n-1) such that the largest element in the simple continued fraction for S(n)=1/a(1)+1/a(2)+...+1/a(n) equals 3n.at n=35A070899
- Smallest magic constant for any n X n magic square made from consecutive primes, or 0 if no such magic square exists.at n=12A073520
- a(n) = n*(n - 1)*(n + 2)/2.at n=22A077414