9125
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11544
- Proper Divisor Sum (Aliquot Sum)
- 2419
- 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
- 7200
- Möbius Function
- 0
- Radical
- 365
- Omega Function (Ω)
- 4
- 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
- 153
- 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 period 41.at n=19A020380
- Numbers k such that 209*2^k+1 is prime.at n=15A032481
- Sum of antidiagonals of A060736.at n=25A061349
- a(n) = (2*n - 1)*(7*n^2 - 7*n + 3)/3.at n=12A063494
- Numbers n that are the hypotenuse of exactly 10 distinct integer-sided right triangles, i.e., n^2 can be written as a sum of two squares in 10 ways.at n=14A097225
- Maximum number of different determinants that can be produced by permuting the elements of a 3 X 3 integer matrix with nonnegative entries <= n.at n=29A099834
- Sums of p-th to the q-th prime where p and q are consecutive primes.at n=33A114381
- Number of base 25 circular n-digit numbers with adjacent digits differing by 1 or less.at n=7A124718
- a(n) = 6*n^2 - 1.at n=39A140811
- a(n) = smallest number m which without its leftmost digit is equal to m/n (or 0 if no such number exists).at n=71A141027
- Similar to A072921 but starting with 2.at n=39A152231
- 5 times octagonal numbers: a(n) = 5*n*(3*n-2).at n=25A153795
- a(n) = 338*n - 1.at n=26A157999
- a(n) = 54*n^2 - 1.at n=12A158656
- Number of partitions of n*(n+1)/2 with at most four parts that can be obtained from grouping (with parentheses) a permutation of the sum 1+2+...+n.at n=14A160438
- Hypotenuses c of primitive Pythagorean Triples (a,b,c) such that 2*a+1, 2*b+1 and 2*c+1 are primes.at n=26A165238
- First of two consecutive numbers with at least one 3 in their prime signature.at n=44A176313
- Number of nondecreasing arrangements of 4 nonzero numbers in -(n+2)..(n+2) with sum zero.at n=31A188334
- Number of 12X2 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2*n^2 (number of collections of 12 zero-sum 2-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations).at n=10A192713
- Number of partitions of n into exactly 6 different parts with distinct multiplicities.at n=19A212117