6149
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7392
- Proper Divisor Sum (Aliquot Sum)
- 1243
- 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
- 5040
- Möbius Function
- -1
- Radical
- 6149
- 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
- 155
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 11 positive 10th powers.at n=6A004811
- Numbers that are the sum of 8 positive 11th powers.at n=3A004819
- Numbers that are the sum of at most 8 positive 11th powers.at n=29A004914
- Numbers that are the sum of at most 9 positive 11th powers.at n=32A004915
- Numbers that are the sum of at most 10 positive 11th powers.at n=35A004916
- Numbers that are the sum of at most 11 positive 11th powers.at n=38A004917
- Numbers k such that sigma(k) = sigma(k+6).at n=22A015866
- (d(n)-r(n))/5, where d = A008778 and r is the periodic sequence with fundamental period (0,3,1,0,1).at n=53A026053
- "AFJ" (ordered, size, labeled) transform of 1,3,5,7,...at n=6A032003
- Expansion of sum ( q^n / product( 1-q^k, k=1..6*n), n=0..inf ).at n=25A035298
- Number of partitions of n with equal number of parts congruent to each of 0 and 3 (mod 4).at n=39A035542
- Numerators of continued fraction convergents to sqrt(32).at n=8A041052
- Numbers having four 4's in base 5.at n=28A043368
- Distinct numbers in writing first numerator and then denominator of 1/2-Pascal triangle (by row).at n=47A046220
- First numerator and then denominator of elements to right of central elements of 1/2-Pascal triangle (by row), excluding 1's and 2's.at n=43A046228
- a(1) = 8; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=36A046258
- Numerators of elements to right of central elements of 1/2-Pascal triangle (by row).at n=57A046531
- a(1) = 9; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=40A074345
- Numbers k such that 2*k^2 + 14 is a square.at n=9A077446
- Multiples of 11 in which the even positioned digits from left are odd and the odd positioned ones are even.at n=42A080467