9459
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 13676
- Proper Divisor Sum (Aliquot Sum)
- 4217
- 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
- 6300
- Möbius Function
- 0
- Radical
- 3153
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 60
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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 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 97.at n=5A031595
- Number of partitions in parts not of the form 21k, 21k+1 or 21k-1. Also number of partitions with no part of size 1 and differences between parts at distance 9 are greater than 1.at n=42A035979
- 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=46A046258
- Numbers k such that 3*2^k + 5 is prime.at n=47A057913
- Numbers k such that 10^999 + k is a (titanic) prime.at n=7A074282
- a(0)=4; a(n)=n^2+a(n-1) for n>0.at n=30A153058
- Number of 2n-digit primes that are concatenation of n two-digit distinct primes p_1...p_n, 98>p_1>p_2>...>p_n>10.at n=6A168513
- Number of partitions of 2*n-1 into parts not greater than n.at n=16A171985
- Number of nX2 0..2 arrays with row sums equal and column sums equal.at n=9A203558
- Positions of peak values in A232221.at n=39A232359
- Irregular triangle read by rows: row n lists the rank sizes of the "electrical" poset EP_n of circular planar graphs with n boundary vertices.at n=48A232967
- a(n) is the total number of rows of circles of radius r packing into a circle of radius R, where r = R/2^n.at n=13A239206
- Odd numbers k such that A098548(k) is not a multiple of 3.at n=35A251540
- Number of n X 2 0..1 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.at n=9A280174
- Number T(n,k) of permutations p of [n] such that 0p has a nonincreasing jump sequence beginning with k; triangle T(n,k), n>=0, 0<=k<=n, read by rows.at n=64A291684
- Number of permutations p of [n] such that 0p has a nonincreasing jump sequence beginning with nine.at n=1A292175
- Greatest integer k such that k/2^n < sqrt(1/3).at n=14A293327
- The integer k that minimizes |k/2^n - sqrt(1/3)|.at n=14A293329
- Lexicographically earliest sequence of distinct positive numbers such that if we add six successive digits the result is divisible by 6.at n=54A327456
- Number of integer partitions of n whose greatest part is at most one more than the sum of the other parts.at n=33A336106