5625
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 15
- Divisor Sum
- 10153
- Proper Divisor Sum (Aliquot Sum)
- 4528
- 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
- 3000
- Möbius Function
- 0
- Radical
- 15
- Omega Function (Ω)
- 6
- 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
- yes
- 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
- 160
- 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
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers of the form 3^i*5^j with i, j >= 0.at n=27A003593
- Smallest label f(T) given to a rooted tree T with n nodes in Matula-Goebel labeling.at n=16A005517
- Numbers k such that k^2 and k have same last 3 digits.at n=23A008853
- Squares of odd pentagonal pyramidal numbers.at n=1A014799
- a(n) = (2*n - 5)n^2.at n=15A015240
- Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers.at n=37A016754
- a(n) = (3*n)^2.at n=25A016766
- a(n) = (4n + 3)^2.at n=18A016838
- a(n) = (5*n)^2.at n=15A016850
- a(n) = (6*n+3)^2.at n=12A016946
- a(n) = (7*n + 5)^2.at n=10A017042
- a(n) = (8n + 3)^2.at n=9A017102
- a(n) = (9*n + 3)^2.at n=8A017198
- a(n) = (10*n + 5)^2.at n=7A017330
- a(n) = (11*n + 9)^2.at n=6A017498
- a(n) = (12*n + 3)^2.at n=6A017558
- Numbers k that are the sum of m nonzero squares for all 1 <= m <= k - 14.at n=26A018820
- a(n) is the smallest square that is the sum of n distinct positive squares.at n=24A018936
- Expansion of Product_{m>=1} (1-m*q^m)^30.at n=4A022690
- a(n) = least m such that if r and s in {1/4, 1/8, 1/12,..., 1/4n} satisfy r < s, then r < k/m < s for some integer k.at n=42A024825