13701
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 18272
- Proper Divisor Sum (Aliquot Sum)
- 4571
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9132
- Möbius Function
- 1
- Radical
- 13701
- 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
- 58
- 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
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 78.at n=25A031576
- McKay-Thompson series of class 42b for Monster.at n=51A058676
- Numbers whose cubes contain more than half the same digit and do not end in 0.at n=32A060814
- a(n) = A000522(n) + 1.at n=7A073591
- Mobiles (cycle rooted trees) where no branch is identical to its adjacent neighbor.at n=14A106364
- Sieve performed by successive iterations of steps where step m is: keep m terms, remove the next 3 and repeat; as m = 1,2,3,.. the remaining terms form this sequence.at n=17A112561
- Semiprimes (A001358) whose digit reversal is a triangular number.at n=38A115741
- Fundamental discriminants of real quadratic number fields with class number 7.at n=36A218157
- Sum of the smallest parts of the partitions of 4n into 4 parts.at n=17A238702
- Expansion of -(3*x^5+sqrt(-7*x^2-6*x+1)*(3*x^4+5*x^3-11*x^2-7*x+2)-24*x^4-34*x^3+10*x^2+15*x-2) / (7*x^5+sqrt(-7*x^2-6*x+1)*(3*x^4+6*x^3-2*x^2+6*x-5)-15*x^4-12*x^3-12*x^2-19*x+3).at n=6A239198
- Number of partitions p of n such that the multiplicity of 2*min(p) is a part.at n=39A240496
- Numbers equidistant from twin prime pairs that are also equidistant from numbers equidistant from twin prime pairs.at n=19A260517
- Magic sums of 3 X 3 semimagic squares composed of squares.at n=26A265198
- Magic sums of 3 X 3 semimagic squares composed of positive squares.at n=24A269061
- G.f. A(x) satisfies: A(x) = 1 / ((1 - x) * (1 - x * A(4*x))).at n=4A348859
- Expansion of 1 / ( (1 - 16*x^4) * (1 - x/(1 - 16*x^4)^(1/4)) ).at n=15A373583
- Expansion of (1+2*x) / (1-x-6*x^2+2*x^3).at n=9A384732