13583
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 14736
- Proper Divisor Sum (Aliquot Sum)
- 1153
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12512
- Möbius Function
- 0
- Radical
- 799
- Omega Function (Ω)
- 3
- 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
- 37
- 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
- Number of partitions of n into parts not of the form 21k, 21k+10 or 21k-10. Also number of partitions with at most 9 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=36A035988
- Numerators of continued fraction convergents to sqrt(411).at n=8A041780
- Concatenation of n in base 2 up to base 10 and n in base 10 down to base 2 is prime, all numbers are interpreted as decimals.at n=5A054258
- Numbers n such that (Sum (2k)^k, k=1..n) + 1 is prime.at n=5A097349
- Numerators of coefficients in series expansion of 1/(Bernoulli trial entropy).at n=59A145176
- n^3+Largest square, (Largest square <= n^3).at n=19A176580
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+2737)^2 = y^2.at n=33A201916
- Numbers k such that sigma(k - 2) = sigma(k + 2).at n=18A223091
- Number of Dyck paths of semilength n having exactly 7 (possibly overlapping) occurrences of the consecutive steps UDUUUDDDUD (with U=(1,1), D=(1,-1)).at n=5A243877
- Numbers which divide the concatenation, in ascending order, of their anti-divisors.at n=20A249764
- Dimensions where the volume of an L^p unit ball is maximized.at n=10A255135
- Numbers n such that A003145(n) = floor(alpha^2*n)+1, where alpha = 1.839... is the positive real zero of x^3-x^2-x-1.at n=45A278352
- Numbers n such that A003146(n) = floor(alpha^3*n)+1, where alpha = 1.839... is the positive real zero of x^3-x^2-x-1.at n=13A278353
- Number of integer partitions of n whose product is a perfect power.at n=48A320322
- Starts of runs of 3 consecutive factorial base Niven numbers (A118363).at n=9A328206
- Number of pairs (y, v), where y is a partition of n and v is a sub-multiset of y whose cardinality equals the number of distinct parts in y.at n=24A355383