653
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 654
- 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
- 652
- Möbius Function
- -1
- Radical
- 653
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 25
- Smith 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 119
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- sechshundertdreiundfünfzig· ordinal: sechshundertdreiundfünfzigste
- English
- six hundred fifty-three· ordinal: six hundred fifty-third
- Spanish
- seiscientos cincuenta y tres· ordinal: 653º
- French
- six cent cinquante-trois· ordinal: six cent cinquante-troisième
- Italian
- seicentocinquantatre· ordinal: 653º
- Latin
- sescenti quinquaginta tres· ordinal: 653.
- Portuguese
- seiscentos e cinquenta e três· ordinal: 653º
Appears in sequences
- Tribonacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) with a(0)=a(1)=a(2)=1.at n=12A000213
- Number of partitions into non-integral powers.at n=5A000347
- Irregular primes: primes p such that at least one of the numerators of the Bernoulli numbers B_2, B_4, ..., B_{p-3} (A000367) is divisible by p.at n=41A000928
- Maximal number of pairwise relatively prime polynomials of degree n over GF(2).at n=13A001115
- Primes with primitive root 2.at n=47A001122
- Smallest k such that the product of q/(q-1) over the primes from prime(n) to prime(n+k-1) is greater than 2.at n=18A001276
- Cyclic numbers: 10 is a quadratic residue modulo p and class of mantissa is 2.at n=38A001914
- Number of pairs of consecutive integers x, x+1 such that all prime factors of both x and x+1 are at most the n-th prime.at n=11A002071
- Discriminants of real quadratic fields with narrow class number 1.at n=52A003655
- a(n) = Fibonacci(n+1) + prime(n).at n=13A004398
- Divisible only by primes congruent to 5 mod 8.at n=43A004627
- Class 3+ primes (for definition see A005105).at n=39A005107
- Class 2- primes (for definition see A005109).at n=53A005110
- Representation degeneracies for boson strings.at n=28A005290
- Sophie Germain primes p: 2p+1 is also prime.at n=28A005384
- Number of corners, or planar partitions of n with only one row and one column.at n=12A006330
- Numbers k such that k-6, k, and k+6 are primes.at n=24A006489
- Balanced primes (of order one): primes which are the average of the previous prime and the following prime.at n=11A006562
- a(n) is the number of compositions of n in which the maximum part size is 5.at n=13A006979
- Primes of the form 8k + 5.at n=28A007521