9953
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10260
- Proper Divisor Sum (Aliquot Sum)
- 307
- 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
- 9648
- Möbius Function
- 1
- Radical
- 9953
- 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
- 73
- 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
- no
- Odd
- yes
Appears in sequences
- Number of even graphs with n edges.at n=5A001188
- Number of partitions of n into at most 7 parts.at n=44A008636
- Number of partitions of n in which the greatest part is 7.at n=51A026813
- a(n) = a(n-1) + a(round(2*(n-1)/3)) + a(round((n-1)/3)) with a(1)=a(2)=1.at n=34A033499
- Sort-then-add sequence: a(1) = 316, a(n+1) = a(n) + sort(a(n)).at n=9A033861
- Consider the Diophantine equation x^3 + y^3 = z^3 + 1 (1 < x < y < z) or 'Fermat near misses'. Sequence gives values of z in monotonic increasing order.at n=15A050791
- Nearest integer to n^5/25.at n=11A061003
- Difference between the arithmetic mean of the neighbors of the terms and the term itself follows the pattern 0,1,2,3,4,5,...at n=32A086514
- a(n) = A099203(n)/7.at n=9A099205
- Numbers k such that 2^k, 3^k, 5^k, 7^k, 11^k, 13^k, 17^k and 19^k have even digit sum.at n=29A119897
- 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, -1, 1), (-1, 0, 1), (1, 1, -1), (1, 1, 0)}.at n=9A148722
- Beach-Williams Pell numbers of type pq (p,q primes).at n=6A212078
- 50k^2-40k-17 interleaved with 50k^2+10k+13 for k=>0.at n=29A217893
- a(n) = round( (e/2)^n ).at n=33A230580
- Number of 2 X n 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4.at n=36A240001
- Semiprimes whose reversal + 1 is a square.at n=16A245362
- Number of length 2+3 0..n arrays with every four consecutive terms having the sum of some three elements equal to three times the fourth.at n=15A248539
- Numbers k such that R_(k+2) + 6*10^k is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=18A256932
- Number of n-length words over a 7-ary alphabet {a_1,a_2,...,a_7} avoiding consecutive letters a_i, a_{i+1}.at n=5A277670
- a(n) = Sum_{k=1..n} k^2*(floor(n/k) - 1).at n=52A279847