7260
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
- 36
- Divisor Sum
- 22344
- Proper Divisor Sum (Aliquot Sum)
- 15084
- 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
- 1760
- Möbius Function
- 0
- Radical
- 330
- Omega Function (Ω)
- 6
- 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
- yes
- 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
- 57
- 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
- Doubly triangular numbers: a(n) = n*(n+1)*(n^2+n+2)/8.at n=15A002817
- Number of permutations in S_n with a certain property.at n=14A013498
- Composite n such that phi(n) * sigma(n) is one less than a square.at n=34A015709
- Composite and even n such that phi(n) * sigma(n) is one less than a square.at n=20A015721
- Theta series of A*_10 lattice.at n=26A023922
- a(n) = (d(n)-r(n))/2, where d = A026066 and r is the periodic sequence with fundamental period (1,0,0,0).at n=32A026067
- Numbers k such that 117*2^k+1 is prime.at n=19A032408
- a(n) = 2*n*(4*n + 1).at n=30A033585
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/5 of the elements are <= (n-2)/2.at n=18A047187
- T(n,4), array T as in A050186; a count of aperiodic binary words.at n=18A050189
- Partial sums of A051877.at n=7A050403
- a(n) = C(n)*(9*n + 1) where C(n) = Catalan numbers (A000108).at n=6A050479
- Iterated triangular numbers with seed 5.at n=3A050542
- Partial sums of A050404.at n=6A052226
- a(n) = n!*(n!+1)/2.at n=5A055555
- Low-temperature specific heat expansion for square lattice (Potts model, q=3).at n=7A057376
- Smallest triangular number that contains the string n in its exact center.at n=26A062690
- Smallest triangular numbers that contain the digits of n anywhere in their middle.at n=26A062829
- Triply triangular numbers.at n=5A064322
- Prime(n^2) +/- n are primes.at n=25A064495