12701
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13692
- Proper Divisor Sum (Aliquot Sum)
- 991
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11712
- Möbius Function
- 1
- Radical
- 12701
- 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
- 200
- 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
- Nearest integer to Gamma(n + 5/8)/Gamma(5/8).at n=8A020026
- Ceiling of Gamma(n+5/8)/Gamma(5/8).at n=8A020116
- Numbers k such that the continued fraction for sqrt(k) has period 43.at n=35A020382
- Starting index of a string of 4 or more consecutive equal digits in decimal expansion of Pi.at n=11A049516
- Starting index of a string of exactly 4 consecutive equal digits in decimal expansion of Pi.at n=8A049520
- Starting positions of strings of 3 1's in the decimal expansion of Pi.at n=13A050209
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 15.at n=15A051980
- Numbers n such that n - A001414(n) = reversal of n + A001414(n).at n=3A069578
- Total number of parts in all partitions of n into relatively prime parts.at n=23A085410
- Numbers k such that the numerator of Bernoulli(2k) is divisible by the square of 67, the third irregular prime.at n=12A093059
- If p(k) is the k-th prime, then the n-th set of 3 consecutive cousin prime pairs starts at p(a(n)).at n=21A095970
- Stable Poincaré series [or Poincare series] for Lie group of type A (i.e., the variety of complex nonsingular k X k matrices with distinct eigenvalues).at n=17A098788
- Binomial transform of [1, 100, 100, 100, ...].at n=7A139701
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 1), (0, 1, -1), (1, 0, -1), (1, 1, 0)}.at n=10A148307
- a(n) = Sum_{y=1..n} Sum_{x=1..n} floor((x^k + y^k)^(1/k)) with k = 3.at n=25A211792
- Numerators of Integral_{x=0..Pi/2} sin(2*n*x)*log(cosec(x)) dx.at n=11A225122
- Nonprimes such that it takes exactly 4 iterations of reverse-and-add digits to generate a prime.at n=27A245209
- Partial sums of A323183.at n=38A323187
- Numbers whose sum of prime factors is equal to their product of prime indices.at n=35A331384
- Number of non-strict integer partitions of n with at least one part of odd multiplicity that is not the first or last.at n=35A349796