Properties of the Number 61007

Sixty-One Thousand Seven

Basics

Value: 61006 → 61007 → 61008

Parity: odd

Prime: Yes

Previous Prime: 61001

Next Prime: 61027

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 61007

Divisors: 1, 61007

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110111001001111

Octal: 167117

Duodecimal: 2B37B

Hexadecimal: ee4f

Square: 3721854049

Square Root: 246.9959513838233

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(n) = ∑_k=0..n floor(sqrt(k))⁵. A363499

Prime numbers ending in James Bond number ''007''. A193552

Primes p such that the differences between p and the closest squares surrounding p are primes. A163848

Number of integers in n-th generation of tree T(3/4) defined in Comments. A274146

Primes containing the digit string "007" in their decimal representation. A386240

Prime p such that sqrt(p+2) is semiprime (A001358). A257933

Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 1000-1000-1111-1000 pattern in any orientation. A147127

a(n) = -(n-1)! mod n. A61007