Properties of the Number 653

Six Hundred Fifty-Three

Basics

Value: 652 → 653 → 654

Parity: odd

Prime: Yes

Previous Prime: 647

Next Prime: 659

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 653

Divisors: 1, 653

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010001101

Octal: 1215

Duodecimal: 465

Hexadecimal: 28d

Square: 426409

Square Root: 25.553864678361276

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Primes of the form x² + xy + 2y², with·and y nonnegative. A106856

Sophie Germain primes p: 2p+1 is also prime. A5384

Tribonacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) with a(0)=a(1)=a(2)=1. A213

Balanced primes (of order one): primes which are the average of the previous prime and the following prime. A6562

Ramanujan primes R_n: a(n) is the smallest number such that if x >= a(n), then π(x) - π(x/2) >= n, where π(x) is the number of primes <= x. A104272

Primes with primitive root 2. A1122

Primes whose binary representation is also the decimal representation of a prime. A65720

Irregular primes: primes p such that at least one of the numerators of the Bernoulli numbers B₂, B₄, ..., B_p-3 (A000367) is divisible by p. A928

Primes of form 10n+3. A30431

Primes followed by a gap of 6, i.e., next prime is p + 6. A31924