Properties of the Number 61001

Sixty-One Thousand One

Basics

Value: 61000 → 61001 → 61002

Parity: odd

Prime: Yes

Previous Prime: 60961

Next Prime: 61007

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 61001

Divisors: 1, 61001

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110111001001001

Octal: 167111

Duodecimal: 2B375

Hexadecimal: ee49

Square: 3721122001

Square Root: 246.98380513709802

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 that become squares when prefixed with a 5. A167738

Primes having only {0, 1, 6} as digits. A199326

Primes p such that 2^p-1 and the p-th Fibonacci number have a common factor. Prime terms of A074776. A80050

a(n) is the largest prime factor of 2ⁿ + 5ⁿ. A337429

Counterclockwise square spiral constructed using the integers so that a(n) plus all other numbers currently visible from the current number equals n; start with a(0) = 0. A357985

Primes which can be expressed as concatenation of powers of 6 and 0's. A66597

Primes such that prime plus its digit sum is a perfect square. A230087

Number of (n+2)X(7+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A259005

G.f. A(x) satisfies: A(x) = x - x² * exp(A(x) + A(x²)/2 + A(x³)/3 + A(x⁴)/4 + ...). A363062

Primes of the form 1000·k + 1. A156655