Properties of the Number 33629

Thirty-Three Thousand Six Hundred Twenty-Nine

Basics

Value: 33628 → 33629 → 33630

Parity: odd

Prime: Yes

Previous Prime: 33623

Next Prime: 33637

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 33629

Divisors: 1, 33629

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1000001101011101

Octal: 101535

Duodecimal: 17565

Hexadecimal: 835d

Square: 1130909641

Square Root: 183.38211472223784

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

a(0) = a(1) = 0; for n >= 2, a(n)*2ⁿ⁺² + 1 is the smallest prime factor of the n-th Fermat number F(n) = 2^2ⁿ + 1. A7117

Primes occurring in A084704 exactly 4 times. A128655

Consecutive states of the linear congruential pseudo-random number generator (9806·s+1) mod (2¹⁷-1) when started at s=1. A384236

Least Ramanujan prime having a gap of 2n to the next Ramanujan prime. A182874

Lesser of consecutive primes whose average is a palindromic number. A242387

Primes p such that p plus the cube of sum of digits of p is a perfect square. A259418

Primes whose position in the Wythoff array is immediately followed by a prime both in the next column and the next row. A352537

Primes of the form 5n² + 9. A201487

Let b(n) = 2ⁿ with n >= 2, and let c = k·b(n) + 1 for k >= 1; then a(n) is the smallest k such that c is prime and such that A007814(r(n)) = A007814(k) + n where r(n) is the remainder of 2^b(n/4) mod c, or 0 if no such k exists. A298669

Base-9 palindromes that start with 5. A43032