2546
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4080
- Proper Divisor Sum (Aliquot Sum)
- 1534
- 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
- 1188
- Möbius Function
- -1
- Radical
- 2546
- 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
- 32
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = Sum_{k=0..n} f(k)*f(n-k) where f(k) = A002124(k).at n=29A002125
- Number of irreducible systems of meanders.at n=6A006664
- Coordination sequence T3 for Zeolite Code BOG.at n=36A008051
- Coordination sequence T3 for Zeolite Code STI.at n=34A008236
- Number of partitions of n into parts >= 4.at n=49A008484
- Number of partitions of n into distinct parts, none being 2.at n=52A015744
- Dying rabbits: a(n) = a(n-1) + a(n-2) - a(n-12).at n=18A023442
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (composite numbers), t = (odd natural numbers).at n=17A025104
- Number of partitions of n in which the least part is 4.at n=52A026797
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 20 (most significant digit on right).at n=14A029513
- 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 50.at n=4A031548
- Numbers with exactly five distinct base-7 digits.at n=11A031984
- a(n) = floor(n^3 / Pi).at n=20A032633
- Coordination sequence T1 for Zeolite Code TSC.at n=42A033616
- Divide even numbers into groups with prime(n) elements and add together.at n=7A034959
- Number of 4-ary rooted trees with n nodes and height exactly 7.at n=13A036631
- D-analogs of Bell numbers.at n=6A039764
- Numerators of continued fraction convergents to sqrt(611).at n=7A042172
- Numbers k such that the string 3,8 occurs in the base 9 representation of k but not of k-1.at n=35A044286
- Numbers n such that string 4,6 occurs in the base 10 representation of n but not of n-1.at n=28A044378