Properties of the Number 7004

Seven Thousand Four

Basics

Value: 7003 → 7004 → 7005

Parity: even

Prime: No

Previous Prime: 7001

Next Prime: 7013

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 17 × 103

Divisors: 1, 2, 4, 17, 34, 68, 103, 206, 412, 1751

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101011100

Octal: 15534

Duodecimal: 4078

Hexadecimal: 1b5c

Square: 49056016

Square Root: 83.68990381163071

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

Numbers k such that k² divides 13^k - 1. A128393

Numbers k such that k³ divides 3^k² - 1. A129211

Numbers k such that k³ divides 9^k² - 1. A177909

Four times second pentagonal numbers: a(n) = 2·n*(3·n+1). A33580

Expansion of ∑_0<i<j<k<l q^i+j+k+l/( (1-qⁱ)*(1-q^j)*(1-q^k)*(1-q^l) )². A365664

a(n) = T(n,n-4), array T as in A055807. A55809

a(n) = ∑_k=0..7 (n + k)². A276026

Numbers n such that the smallest prime divisor of n²+1 is 61. A248549

a(n) = ∑_{k=0..floor(n/3)} binomial(k,3·n-9·k). A392273

Least number k > 0 such that kⁿ does not divide the denominator of generalized harmonic number H(k,n) nor the denominator of alternating generalized harmonic number H'(k,n). A128670