11125
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14040
- Proper Divisor Sum (Aliquot Sum)
- 2915
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8800
- Möbius Function
- 0
- Radical
- 445
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 130
- 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 43.at n=26A020382
- Positive numbers for which the sum of digits equals the product of digits.at n=28A034710
- Number of partitions of n into parts not of the form 19k, 19k+6 or 19k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=35A035975
- Product of the digits of n divides the sum of the digits of n.at n=42A055931
- Smallest positive number formed by a set of digits whose product = sum of the digits.at n=12A061672
- Integers m such that (x1*x2*..xk)^(x1+x2+..xk) = (x1+x2+..xk)^(x1*x2*..xk) where x1x2..xk are the digits of m in base 10.at n=31A064158
- Nonprimes whose sum of digits is equal to its product of digits.at n=21A066307
- Numbers divisible by the sum of factorials of their digits [A061602(n)] and also terminate in the sum of factorials of their digits.at n=9A071064
- Smallest number a(n) == 1 (mod n) such that the prime signature of n and a(n) is the same.at n=52A085074
- 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=20A097225
- Expansion of (1+2x)/sqrt((1-3x^2)(1+4x+5x^2)).at n=14A102882
- Erroneous version of A085074.at n=52A114788
- Series reversion of x/(1 + 2*x + 3*x^2 + x^3).at n=8A127897
- Numbers k such that continued fraction of (1 + sqrt(k))/2 has period 11.at n=42A146335
- Numbers n with property that A077116(n) is nonzero square.at n=43A154101
- Positive numbers y such that y^2 is of the form x^2+(x+439)^2 with integer x.at n=6A159890
- Lexicographically earliest increasing sequence which lists the positions of the zero digits in the sequence.at n=18A167519
- a(0) = a(1) = 1; a(n) = 5*a(n-1) + 5*a(n-2).at n=6A188168
- Numbers n such that n^2 is a concatenation of two nonzero squares with no trailing zeros in n.at n=46A198035
- Numbers with digital product = 10.at n=20A199990