Properties of the Number 37561

Thirty-Seven Thousand Five Hundred Sixty-One

Basics

Value: 37560 → 37561 → 37562

Parity: odd

Prime: Yes

Previous Prime: 37549

Next Prime: 37567

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 37561

Divisors: 1, 37561

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001010111001

Octal: 111271

Duodecimal: 198A1

Hexadecimal: 92b9

Square: 1410828721

Square Root: 193.80660463462024

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 equal to the sum of the first k primes for some k. A13918

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[6, 4,2]; short d-string notation of pattern = [642]. A78855

Primes that become squares when prefixed with a 3. A167736

Sum of primes < n². A139562

Primes that remain prime through 3 iterations of function f(x) = 8x + 3. A23292

Primes p such that the differences between the 5 consecutive primes starting with p are (6,4,2,6). A78962

Records in A111267. A111268

Emirps p such that (p·q) mod (p+q) is also an emirp, where q is the digit reversal of p. A355651

Primes that start a run of at least seven consecutive primes, where between successive primes exactly one digit changes and the resulting digits may be permuted. A157717

Lesser of two consecutive primes, p < q, such that p·q + p - q and p·q - p + q are also consecutive primes. A225726