8054
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
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12084
- Proper Divisor Sum (Aliquot Sum)
- 4030
- 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
- 4026
- Möbius Function
- 1
- Radical
- 8054
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 70
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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 self-generating sequence: every positive integer occurs as a(i)-a(j) for a unique pair i,j.at n=20A001856
- Coordination sequence for Cr3Si, Cr position.at n=23A009928
- Numbers k such that the continued fraction for sqrt(k) has period 94.at n=17A020433
- 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 88.at n=22A031586
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 44 ones.at n=29A031812
- Numbers k such that 147*2^k+1 is prime.at n=28A032423
- Numbers where the difference of consecutive fifth powers is "close" to another fifth power: let m = k^5 - (k-1)^5; sequence lists the numbers k where m - floor(m^(1/5))^5 < floor(sqrt(k))^5.at n=2A053804
- Eighth column of triangle A055249.at n=6A055251
- Numbers k for which the sums of prime factors (ignoring multiplicity) of sigma(k) and phi(k) are equal but the sets of prime factors of sigma and phi are different.at n=27A081378
- Pseudo-random numbers: gcc 2.6.3 version for 32-bit integers.at n=13A084276
- Asymmetric rhythm cycles (patterns): binary necklaces of length 2n subject to the restriction that for any k if the k-th bead is of color 1 then the (k+n)-th bead (modulo 2n) is of color 0.at n=10A115114
- Square root of pi(A064523(n)).at n=13A115835
- Numbers k such that A118255(k) is prime.at n=18A118257
- Number of nondecreasing integer sequences of length 5 with sum zero and sum of absolute values 2n.at n=41A158139
- a(n) = 4*n^2 - n - 1.at n=45A185950
- Number of 6 X n binary arrays without the pattern 0 1 diagonally, vertically, antidiagonally or horizontally.at n=13A188557
- Number of ascents of length 1 in all dispersed Dyck paths of length n (i.e., in all Motzkin paths of length n with no (1,0) steps at positive heights). An ascent is a maximal sequence of consecutive (1,1)-steps.at n=14A191386
- Number of nondecreasing sequences of n 1..7 integers with no element dividing the sequence sum.at n=16A212867
- Smallest even number k such that lpf(k-3) = prime(n) while lpf(k-1) > lpf(k-3), where lpf=least prime factor (A020639).at n=21A242490
- Smallest even k such that the pair {k-3,k-1} is not a twin prime pair and lpf(k-1) > lpf(k-3) >= prime(n), where lpf = least prime factor (A020639).at n=19A242720