9755
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
- 5
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11712
- Proper Divisor Sum (Aliquot Sum)
- 1957
- 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
- 7800
- Möbius Function
- 1
- Radical
- 9755
- 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
- 60
- 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 stable towers of 2 X 2 LEGO blocks.at n=9A007575
- Numbers having period-2 6-digitized sequences.at n=35A031357
- Number of partitions satisfying cn(2,5) < cn(1,5) + cn(4,5) and cn(3,5) < cn(1,5) + cn(4,5).at n=34A039889
- Base-7 palindromes that start with 4.at n=19A043018
- Numbers k such that 9*10^k + 7*R_k is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=16A056727
- Numbers k such that k, k+2, k+4, k+6, k+8 are semiprimes.at n=28A092127
- Numbers n such that 8*10^n + 4*R_n + 3 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=7A103081
- Numbers n such that n^2-6 and n^2+6 are both prime.at n=39A108403
- Numbers k such that k + prime(k) gives a triangular number.at n=36A115882
- a(n) = sum of n successive primes after the n-th prime.at n=36A131740
- Number of binary strings of length n with equal numbers of 00110 and 01001 substrings.at n=14A164251
- a(n) = floor(1/{(10+n^4)^(1/4)}), where {}=fractional part.at n=28A184634
- Number of nondecreasing arrangements of 10 numbers in 0..n with the last equal to n and each after the second equal to the sum of one or two of the preceding four.at n=34A189333
- Number of partitions of n such that (greatest part) - (least part) < number of parts.at n=35A237830
- Numbers that end in (..., 175, 175, 175, ...) under the rule: next term = product of the last four digits in the sequence so far.at n=52A239721
- Number of numbers in row n of the array at A243925.at n=26A243927
- G.f. satisfies: A(x) = Sum_{n>=0} A000108(n)^2 * (x-x^2)^n, where A000108(n) = C(2*n,n)/(n+1) is the n-th Catalan number.at n=6A246963
- Palindromic in bases 7 and 29.at n=15A249158
- Number of distinct proper angles that can be formed by a vertex and two leg endpoints on grid points in an n X n square grid.at n=15A252591
- Solutions to a certain congruence.at n=4A275880