8402
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12606
- Proper Divisor Sum (Aliquot Sum)
- 4204
- 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
- 4200
- Möbius Function
- 1
- Radical
- 8402
- 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
- 65
- 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
- Powers of 2 written backwards.at n=11A004094
- a(0) = 1, a(n) = 21*n^2 + 2 for n>0.at n=20A010011
- Shifts 5 places right under inverse binomial transform.at n=13A010749
- 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 90.at n=18A031588
- Powers of 2 written backwards and sorted.at n=13A034906
- Maximal base 7 run length is 4.at n=35A037991
- Number of partitions with at most one part divisible by 5.at n=32A039905
- Numbers whose base-7 representation contains exactly four 3's.at n=14A043408
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1 and a(2) = a(3) = 3.at n=46A050065
- Number of planar partitions of n with trace 4.at n=15A089351
- Semiprimes whose digit reversal is a nontrivial power.at n=23A108849
- Semiprimes (A001358) whose digit reversal is a powerful(1) number (A001694).at n=27A115688
- Numbers k such that k^3 contains a pandigital substring.at n=6A115933
- Numbers n such that every digit occurs at least once in n^3.at n=32A119735
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 1), (0, 1, -1), (0, 1, 1), (1, 0, 0)}.at n=7A150518
- Length of longest prefix of A096095(n) that is also a prefix of A096095(n+1).at n=55A197945
- Number of binary arrays of length n+11 with no more than 6 ones in any length 12 subsequence (=50% duty cycle).at n=2A212400
- T(n,k)=Number of binary arrays of length n+2*k-1 with no more than k ones in any length 2k subsequence (=50% duty cycle).at n=30A212402
- Number of binary arrays of length 2*n+2 with no more than n ones in any length 2n subsequence (=50% duty cycle).at n=5A212404
- Number of (4+1) X (n+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.at n=29A250658