6154
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9828
- Proper Divisor Sum (Aliquot Sum)
- 3674
- 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
- 2880
- Möbius Function
- -1
- Radical
- 6154
- 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
- 36
- 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
- Expansion of sin(sin(x))*exp(x).at n=10A009477
- Expansion of e.g.f. sin(x)*exp(sinh(x)).at n=10A009542
- Expansion of sinh(x)*sin(sin(x)).at n=5A009626
- Numbers k such that the continued fraction for sqrt(k) has period 37.at n=14A020376
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = 1 and a(1) = 4.at n=16A022318
- Exactly half of first a(n) terms of A022300 are 1's (not known to be infinite).at n=31A025513
- Numbers k such that k^2+k+3 is a palindrome.at n=14A027714
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 10.at n=7A031423
- Numbers whose base-4 representation contains exactly three 0's and three 2's.at n=20A045055
- a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = 2*n - 3 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 3, and a(3) = 4.at n=12A049976
- Least nontrivial multiple of the n-th prime beginning with 6.at n=41A078290
- Take pairs (a, b), sorted on a, such that T(a)+T(b)=concatenation of a and b, where T(k) is the k-th triangular number A000217(k). Sequence gives values of a.at n=14A096031
- Positions where A116624 is a power of 2.at n=14A116628
- Numbers that are the sum of exactly 3 sets of Fibonacci numbers.at n=52A122195
- a(n)=Floor(n*2^(n/2)).at n=16A128441
- Absolute differences of A129198.at n=23A129199
- Partial sum of irregular primes A000928.at n=23A132360
- Binomial transform of [1, 3, 7, 0, 0, 0, ...].at n=42A140063
- Expansion of 1/(x^k*(1-x-3*x^(k+1))) for k=6.at n=23A143457
- a(n) = (2*n^3 + 9*n^2 + n + 24) / 6.at n=25A160805