5753
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6288
- Proper Divisor Sum (Aliquot Sum)
- 535
- 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
- 5220
- Möbius Function
- 1
- Radical
- 5753
- 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
- 129
- 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
- A Fielder sequence.at n=15A001640
- Nine iterations of Reverse and Add are needed to reach a palindrome.at n=35A015990
- Discriminants of quintic fields with 4 complex conjugates.at n=32A023685
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 3), t = A023532.at n=12A024314
- a(n) = (d(n)-r(n))/2, where d = A026037 and r is the periodic sequence with fundamental period (1,0,0,1).at n=30A026038
- a(n) = Sum_{k=0..floor(n/2)} A027144(n-k, k).at n=15A027154
- Numbers k such that 153*2^k+1 is prime.at n=18A032453
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 24.at n=28A051965
- Numbers which need nine 'Reverse and Add' steps to reach a palindrome.at n=34A065214
- For n > 1, a(n) is the smallest number such that n-th concatenation is prime and the smallest palindrome beginning with (but not equal to) this concatenation is also prime.at n=12A088090
- Number of partitions of n^2 into squares not greater than n.at n=16A093115
- Numbers k such that 4*10^k + 6*R_k - 3 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=23A099005
- Weight distribution of a certain binary linear code of length 56 defined by AES (or Rijndael) S-box.at n=8A131620
- Numbers k such that k and k^2 use only the digits 0, 3, 5, 7 and 9.at n=5A136940
- Sum of primes between consecutive positive cubes.at n=5A158528
- Number of connected regular simple graphs on n vertices with girth exactly 5.at n=20A186745
- Least number having exactly two odd prime factors that differ by 2*n^2.at n=15A190052
- Least number having exactly two odd prime factors that differ by 2^n.at n=8A190358
- Number of partitions of n into lower Wythoff numbers (A000201).at n=46A192184
- Start with 1. Successive digits in the sequence must differ by 2. Adjoin the smallest number not yet in the sequence.at n=48A228328