10126
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15624
- Proper Divisor Sum (Aliquot Sum)
- 5498
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4920
- Möbius Function
- -1
- Radical
- 10126
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 135
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Number of partitions of n into 3 or more parts.at n=32A004250
- Numbers k such that the continued fraction for sqrt(k) has period 88.at n=24A020427
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k.at n=46A024846
- Numbers whose base-10 representation has exactly 5 runs.at n=14A043641
- Numbers k such that k^14 == 1 (mod 15^3).at n=12A056087
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 95 ).at n=31A063368
- Numbers k such that sopf(k) = 2*sopf(k+1), where sopf(k) = A008472.at n=16A064112
- Numbers n such that n and the n-th prime have the same digits.at n=29A074350
- Concatenation of n-th prime and n in decimal notation.at n=25A075110
- Least number whose digits can be used to form exactly n different primes (not necessarily using all digits).at n=23A076449
- a(n) = A077727(n)/n.at n=37A077728
- a(n) = A077739(n)/n.at n=15A077740
- a(n) = A077739(n)/n.at n=27A077740
- a(n) = A078213(n)/n.at n=27A078214
- a(n) = A078213(n)/n.at n=15A078214
- Starting term of the smallest n-chain of numbers whose squares are permutations of the same digits.at n=13A085546
- Row sums of triangle A091492.at n=44A091493
- Number of labeled 2-regular graphs with no multiple edges, but loops are allowed (i.e., each vertex is endpoint of two (usual) edges or one loop).at n=8A108246
- a(n) = the denominator of the continued fraction [1;floor(n/(n-1)),floor(n/(n-2)),...,floor(n/1)].at n=10A128601
- Numbers n such that sigma(2*phi(n)) = 2*sigma(n).at n=6A137733