6080
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 28
- Divisor Sum
- 15240
- Proper Divisor Sum (Aliquot Sum)
- 9160
- 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
- 2304
- Möbius Function
- 0
- Radical
- 190
- Omega Function (Ω)
- 8
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 111
- 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
- Number of 3 X n binary matrices up to row and column permutations.at n=11A002727
- Number of acyclic tertiary alcohols with n carbon atoms.at n=9A005956
- Exactly half of first a(n) terms of A022300 are 1's (not known to be infinite).at n=7A025513
- Expansion of (theta_3(z)*theta_3(11z) + theta_2(z)*theta_2(11z))^4.at n=14A028612
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 37.at n=38A031535
- "DIK" (bracelet, indistinct, unlabeled) transform of 4,4,4,4...at n=6A032285
- Four times pentagonal numbers: a(n) = 2*n*(3*n-1).at n=32A033579
- a(n) = n*(n+1)*(5*n+1)/6.at n=18A033994
- Reverse and add (in base 3).at n=13A035523
- Numerators of continued fraction convergents to sqrt(496).at n=7A041946
- Number of ordered factorizations indexed by prime signatures: A074206(A025487).at n=47A050324
- Partition numbers rounded to nearest integer given by the Hardy-Ramanujan approximate formula.at n=29A050811
- a(n) = A055993(n) - A034444(A056627(n)).at n=31A056630
- Numbers k such that k^128 + 1 is prime.at n=17A056994
- McKay-Thompson series of class 48A for Monster.at n=52A058691
- Summatory Pascal triangle T(n,k) (0 <= k <= n) read by rows. Top entry is 1. Each entry is the sum of the parallelogram above it.at n=51A059576
- Summatory Pascal triangle T(n,k) (0 <= k <= n) read by rows. Top entry is 1. Each entry is the sum of the parallelogram above it.at n=48A059576
- Table read by descending antidiagonals where T(n,k) = T(n,k-1) + T(n,k-1)^2/k^2 and T(n,0)=n.at n=31A061314
- Column 4 of A061314.at n=3A061320
- a(1) = 4; a(n) = smallest composite number greater than the sum of all previous terms.at n=11A070232