7800
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 26040
- Proper Divisor Sum (Aliquot Sum)
- 18240
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1920
- Möbius Function
- 0
- Radical
- 390
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 145
- 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
- yes
- Odd
- no
Appears in sequences
- Orders of noncyclic simple groups (without repetition).at n=13A001034
- Degrees of irreducible representations of alternating group A_13.at n=39A003868
- Degrees of irreducible representations of symmetric group S_13.at n=71A003877
- Degrees of irreducible representations of symmetric group S_13.at n=72A003877
- a(n) = floor(n*(n+2)*(2*n-1)/8).at n=30A007518
- a(n) = n*(25*n - 1)/2.at n=25A022282
- a(n) = n*(n+1)*(n+2)/2.at n=24A027480
- a(n) = (n+1)*(5*n^2+4*n+1).at n=11A027849
- Shortest edge c of (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=35A031175
- a(n) = lcm(n,n+1,n+2).at n=23A033931
- Number of partitions of n into parts not of the form 23k, 23k+8 or 23k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=32A035996
- Numbers having four 0's in base 6.at n=13A043372
- Let p1, p2 be first pair of consecutive primes with difference 2n; let p3, p4 be 2nd such pair; sequence gives "wadi" value p3-p1.at n=18A046728
- Denominator of b(n)-b(n+1), where b(n) = n/((n+1)(n+2)) = A026741/A045896.at n=22A051713
- Least k for which the integers Floor(k/(m*(m+1))) for m=1,2,...,n are distinct.at n=28A054061
- a(n) = Sum_{d|5} phi(d)*n^(5/d).at n=6A054604
- a(n) = Sum_{d|n} phi(d)*6^(n/d).at n=5A054613
- Triangle T(n,k) = Sum_{d|k} phi(d)*n^(k/d).at n=19A054619
- Nonnegative numbers of form n*(n^2+-1)/2.at n=48A057587
- Freestyle perfect numbers n = Product_{i=1,..,k} f_i^e_i where 1 < f_1 < ... < f_k, e_i > 0, such that 2n = Product_{i=1,..,k} (f_i^(e_i+1)-1)/(f_i-1).at n=33A058007