Live analysis

7,006

7,006 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

7,006 (seven thousand six) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 31 × 113. Written other ways, in hexadecimal, 0x1B5E.

Arithmetic Number Cube-Free Deficient Number Odious Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

6,994 6,995 6,996 6,997 6,998 6,999 7,000 7,001 7,002 7,003 7,004 7,005 7,006 7,007 7,008 7,009 7,010 7,011 7,012 7,013 7,014 7,015 7,016 7,017 7,018

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 13 bits
Reversed: 6,007
Recamán's sequence: a(176,999) = 7,006
Square (n²): 49,084,036
Cube (n³): 343,882,756,216
Divisor count: 8
σ(n) — sum of divisors: 10,944
φ(n) — Euler's totient: 3,360
Sum of prime factors: 146

Primality

Prime factorization: 2 × 31 × 113

Nearest primes: 7,001 (−5) · 7,013 (+7)

Divisors & multiples

All divisors (8)

1 · 2 · 31 · 62 · 113 · 226 · 3503 (half) · 7006

Aliquot sum (sum of proper divisors): 3,938

Factor pairs (a × b = 7,006)

1 × 7006

2 × 3503

31 × 226

62 × 113

First multiples

7,006 · 14,012 (double) · 21,018 · 28,024 · 35,030 · 42,036 · 49,042 · 56,048 · 63,054 · 70,060

Sums & aliquot sequence

As consecutive integers: 1,750 + 1,751 + 1,752 + 1,753 211 + 212 + … + 241 6 + 7 + … + 118

Aliquot sequence: 7,006 → 3,938 → 2,542 → 1,490 → 1,210 → 1,184 → 1,210 — enters a cycle

Continued fraction of √n

√7,006 = [83; (1, 2, 2, 1, 4, 1, 2, 2, 1, 166)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: seven thousand six
Ordinal: 7006th
Binary: 1101101011110
Octal: 15536
Hexadecimal: 0x1B5E
Base64: G14=
One's complement: 58,529 (16-bit)
Scientific notation: 7.006 × 10³
As a duration: 7,006 s = 1 hour, 56 minutes, 46 seconds

In other bases

ternary (3) 100121111

quaternary (4) 1231132

quinary (5) 211011

senary (6) 52234

septenary (7) 26266

nonary (9) 10544

undecimal (11) 529a

duodecimal (12) 407a

tridecimal (13) 325c

tetradecimal (14) 27a6

pentadecimal (15) 2121

As an angle

7,006° = 19 × 360° + 166°

166° ≈ 2.897 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ζϛʹ
Mayan (base 20): 𝋱·𝋪·𝋦
Chinese: 七千零六
Chinese (financial): 柒仟零陸

In other modern scripts

Eastern Arabic ٧٠٠٦ Devanagari ७००६ Bengali ৭০০৬ Tamil ௭௦௦௬ Thai ๗๐๐๖ Tibetan ༧༠༠༦ Khmer ៧០០៦ Lao ໗໐໐໖ Burmese ၇၀၀၆

Digit at this position in famous constants

π — Pi (π): Digit 7,006 = 4
e — Euler's number (e): Digit 7,006 = 5
φ — Golden ratio (φ): Digit 7,006 = 2
√2 — Pythagoras's (√2): Digit 7,006 = 2
ln 2 — Natural log of 2: Digit 7,006 = 7
γ — Euler-Mascheroni (γ): Digit 7,006 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 7006, here are decompositions:

5 + 7001 = 7006
23 + 6983 = 7006
29 + 6977 = 7006
47 + 6959 = 7006
59 + 6947 = 7006
89 + 6917 = 7006
107 + 6899 = 7006
137 + 6869 = 7006

Showing the first eight; more decompositions exist.

Unicode codepoint

᭞

Balinese Carik Siki

U+1B5E

Other punctuation (Po)

UTF-8 encoding: E1 AD 9E (3 bytes).

Lookup U+1B5E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001B5E

RGB(0, 27, 94)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.27.94.

Address: 0.0.27.94
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.27.94

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 7,006 Hz is closest to:

Concert pitch (A4 = 440 Hz): A8 (7040 Hz, -8¢)
Scientific pitch (C4 = 256 Hz): A8 (6888.6 Hz, +29¢)
Baroque pitch (A4 = 415 Hz): A♯8 (7034.8 Hz, -7¢)

Position in π

The digit sequence 7006 first appears in π at position 306 of the decimal expansion (the 306ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 7006 on Pi Search ↗