Properties of the Number 7001

Seven Thousand One

Basics

Value: 7000 → 7001 → 7002

Parity: odd

Prime: Yes

Previous Prime: 6997

Next Prime: 7013

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 7001

Divisors: 1, 7001

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101011001

Octal: 15531

Duodecimal: 4075

Hexadecimal: 1b59

Square: 49014001

Square Root: 83.6719785830358

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 with first digit 7. A45713

Primes all of whose internal digits (if any) are 0. A69675

Primes whose sum of digits is 8. A62343

G.f. satisfies A(x) = x + x·A(A(A(x))). A91713

a(n) = ∑_{k = 0..n} (-1)^k * binomial(n,k) * binomial(2·n,k). A234839

Number of cyclic compositions (necklaces of positive integers) summing to n that have only one part or whose consecutive parts (including the last with first) are indivisible. A318729

a(n) = prime(R(prime(n))) where prime(i) is the i-th prime and R(p) is the value of the reverse of the digits of p. A124179

Primes having only {0, 1, 7} as digits. A199327

a(n) = n²*(2·n⁸ + 120·n⁶ + 1806·n⁴ + 7180·n² + 5067)/14175. A99197

a(n) = a(n-1) + a(m) for n >= 4, where m = 2^p+1 + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1, a(2) = 2, and a(3) = 4. A50053