2053
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2054
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2052
- Möbius Function
- -1
- Radical
- 2053
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 310
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that (1,k) is "good".at n=26A000696
- Centered 12-gonal numbers, or centered dodecagonal numbers: numbers of the form 6*k*(k-1) + 1.at n=18A003154
- a(n+1) = 1 + a( floor(n/1) ) + a( floor(n/2) ) + ... + a( floor(n/n) ).at n=26A003318
- Numbers that are the sum of 9 positive 9th powers.at n=4A003398
- Numbers that are the sum of 7 positive 10th powers.at n=2A004807
- Numbers that are the sum of 6 positive 11th powers.at n=1A004817
- Numbers that are the sum of at most 9 positive 9th powers.at n=39A004893
- Numbers that are the sum of at most 7 nonzero 10th powers.at n=20A004902
- Numbers that are the sum of at most 8 nonzero 10th powers.at n=22A004903
- Numbers that are the sum of at most 9 nonzero 10th powers.at n=24A004904
- Numbers that are the sum of at most 10 nonzero 10th powers.at n=26A004905
- Numbers that are the sum of at most 11 nonzero 10th powers.at n=28A004906
- Numbers that are the sum of at most 12 nonzero 10th powers.at n=30A004907
- Numbers that are the sum of at most 6 positive 11th powers.at n=12A004912
- Numbers that are the sum of at most 7 positive 11th powers.at n=13A004913
- Numbers that are the sum of at most 8 positive 11th powers.at n=14A004914
- Numbers that are the sum of at most 9 positive 11th powers.at n=15A004915
- Numbers that are the sum of at most 10 positive 11th powers.at n=16A004916
- Numbers that are the sum of at most 11 positive 11th powers.at n=17A004917
- Numbers that are the sum of at most 12 positive 11th powers.at n=18A004918