4354
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
- 7488
- Proper Divisor Sum (Aliquot Sum)
- 3134
- 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
- 1860
- Möbius Function
- -1
- Radical
- 4354
- 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
- 139
- 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
- Numbers that are the sum of 7 positive 6th powers.at n=37A003363
- a(n) = 1 + Sum_{i=1..n} (n-i+1)*phi(i).at n=34A005598
- Unique period lengths of primes mentioned in A007615.at n=51A007498
- Coordination sequence T9 for Zeolite Code MFI.at n=42A008172
- a(0) = 1, a(n) = 17*n^2 + 2 for n>0.at n=16A010007
- 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 64.at n=17A031562
- Decimal part of a(n)^(1/7) starts with n so that a(n) < a(n+1).at n=31A034072
- Numbers having, in base 16, (sum of even run lengths)=(sum of odd run lengths).at n=31A044887
- Numbers whose base-4 representation contains exactly four 0's and two 1's.at n=29A045035
- Numbers whose base-5 representation contains exactly two 1's and three 4's.at n=20A045258
- Number of partitions of 5n with equal nonzero number of parts congruent to each of 1, 2, 3 and 4 modulo 5.at n=11A046787
- Matrix 7th power of partition triangle A008284.at n=38A050301
- Generalized Stirling number triangle of first kind.at n=42A051380
- Periods associated with A040017.at n=48A051627
- Number of 4 X 4 stochastic matrices under row and column permutations.at n=9A052280
- Number of right triangles of a given area required to form successively larger squares.at n=32A060626
- Minimal (positive) solution a(n) of Pell equation a(n)^2 - D(n)*b(n)^2 = +4 with D(n)= A077425(n). The companion sequence is b(n)=A078355(n).at n=32A077428
- Minimal positive solution a(n) of Pell equation a(n)^2 - D(n)*b(n)^2 = +4 or -4 with D(n)=A077425(n). The companion sequence is b(n)=A077058(n).at n=32A078361
- a(n) = 8*a(n-1) + a(n-2), starting with a(0)=2 and a(1)=8.at n=4A086594
- Triangle T(n,k) read by rows given by [0, 1, 3, 6, 10, 15, 21, ...] DELTA [1, 3, 6, 10, 15, 21, 28,...] where DELTA is the operator defined in A084938.at n=17A087736