Number

10,007

10,007 is a prime, odd.

10,007 (ten thousand seven) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2717.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Prime Recamán's Sequence Safe Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

9,995 9,996 9,997 9,998 9,999 10,000 10,001 10,002 10,003 10,004 10,005 10,006 10,007 10,008 10,009 10,010 10,011 10,012 10,013 10,014 10,015 10,016 10,017 10,018 10,019

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 14 bits
Reversed: 70,001
Recamán's sequence: a(4,801) = 10,007
Square (n²): 100,140,049
Cube (n³): 1,002,101,470,343
Divisor count: 2
σ(n) — sum of divisors: 10,008
φ(n) — Euler's totient: 10,006

Primality

10,007 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 10007

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 10,007)

1 × 10007

First multiples

10,007 · 20,014 (double) · 30,021 · 40,028 · 50,035 · 60,042 · 70,049 · 80,056 · 90,063 · 100,070

Sums & aliquot sequence

As consecutive integers: 5,003 + 5,004

Continued fraction of √n

√10,007 = [100; (28, 1, 1, 2, 1, 3, 2, 1, 2, 1, 1, 7, 8, 1, 1, 3, 4, 15, 6, 2, 1, 1, 2, 1, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words: ten thousand seven
Ordinal: 10007th
Binary: 10011100010111
Octal: 23427
Hexadecimal: 0x2717
Base64: Jxc=
One's complement: 55,528 (16-bit)
Scientific notation: 1.0007 × 10⁴
As a duration: 10,007 s = 2 hours, 46 minutes, 47 seconds

In other bases

ternary (3) 111201122

quaternary (4) 2130113

quinary (5) 310012

senary (6) 114155

septenary (7) 41114

nonary (9) 14648

undecimal (11) 7578

duodecimal (12) 595b

tridecimal (13) 472a

tetradecimal (14) 390b

pentadecimal (15) 2e72

Palindromic in base 7

As an angle

10,007° = 27 × 360° + 287°

287° ≈ 5.009 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιζʹ
Mayan (base 20): 𝋡·𝋥·𝋠·𝋧
Chinese: 一萬零七
Chinese (financial): 壹萬零柒

In other modern scripts

Eastern Arabic ١٠٠٠٧ Devanagari १०००७ Bengali ১০০০৭ Tamil ௧௦௦௦௭ Thai ๑๐๐๐๗ Tibetan ༡༠༠༠༧ Khmer ១០០០៧ Lao ໑໐໐໐໗ Burmese ၁၀၀၀၇

Digit at this position in famous constants

π — Pi (π): Digit 10,007 = 2
e — Euler's number (e): Digit 10,007 = 0
φ — Golden ratio (φ): Digit 10,007 = 6
√2 — Pythagoras's (√2): Digit 10,007 = 9
ln 2 — Natural log of 2: Digit 10,007 = 1
γ — Euler-Mascheroni (γ): Digit 10,007 = 9

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 9,973 (gap of 34)
Next prime: 10,009 (gap of 2)

Pair status: twin with 10009.

Unicode codepoint

✗

Ballot X

U+2717

Other symbol (So)

UTF-8 encoding: E2 9C 97 (3 bytes).

Lookup U+2717 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002717

RGB(0, 39, 23)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.23.

Address: 0.0.39.23
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.39.23

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

Musical pitch

Heard as a frequency, 10,007 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +9¢)
Scientific pitch (C4 = 256 Hz): D♯9 (9742 Hz, +46¢ — about midway to E9)
Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +10¢)

Position in π

The digit sequence 10007 first appears in π at position 187,094 of the decimal expansion (the 187,094ordinal-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 10007 on Pi Search ↗