Live analysis

10,008

10,008 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.).

10,008 (ten thousand eight) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2³ × 3² × 139. Its proper divisors sum to 17,292, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2718.

Abundant Number Evil Number Flippable Gapful Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

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 10,020

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 14 bits
Reversed: 80,001
Flips to (rotate 180°): 80,001
Recamán's sequence: a(4,799) = 10,008
Square (n²): 100,160,064
Cube (n³): 1,002,401,920,512
Divisor count: 24
σ(n) — sum of divisors: 27,300
φ(n) — Euler's totient: 3,312
Sum of prime factors: 151

Primality

Prime factorization: 2 ³ × 3 ² × 139

Nearest primes: 10,007 (−1) · 10,009 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 36 · 72 · 139 · 278 · 417 · 556 · 834 · 1112 · 1251 · 1668 · 2502 · 3336 · 5004 (half) · 10008

Aliquot sum (sum of proper divisors): 17,292

Factor pairs (a × b = 10,008)

1 × 10008

2 × 5004

3 × 3336

4 × 2502

6 × 1668

8 × 1251

9 × 1112

12 × 834

18 × 556

24 × 417

36 × 278

72 × 139

First multiples

10,008 · 20,016 (double) · 30,024 · 40,032 · 50,040 · 60,048 · 70,056 · 80,064 · 90,072 · 100,080

Sums & aliquot sequence

As consecutive integers: 3,335 + 3,336 + 3,337 1,108 + 1,109 + … + 1,116 618 + 619 + … + 633 185 + 186 + … + 232

Aliquot sequence: 10,008 → 17,292 → 27,060 → 57,612 → 76,844 → 57,640 → 84,920 → 124,600 → 210,200 → 278,980 → 391,340 → 479,572 → 367,904 → 356,470 → 300,890 → 240,730 → 283,430 — unresolved within range

Continued fraction of √n

√10,008 = [100; (25, 200)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: ten thousand eight
Ordinal: 10008th
Binary: 10011100011000
Octal: 23430
Hexadecimal: 0x2718
Base64: Jxg=
One's complement: 55,527 (16-bit)
Scientific notation: 1.0008 × 10⁴
As a duration: 10,008 s = 2 hours, 46 minutes, 48 seconds

In other bases

ternary (3) 111201200

quaternary (4) 2130120

quinary (5) 310013

senary (6) 114200

septenary (7) 41115

nonary (9) 14650

undecimal (11) 7579

duodecimal (12) 5960

tridecimal (13) 472b

tetradecimal (14) 390c

pentadecimal (15) 2e73

Palindromic in base 5

As an angle

10,008° = 27 × 360° + 288°

288° ≈ 5.027 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιηʹ
Mayan (base 20): 𝋡·𝋥·𝋠·𝋨
Chinese: 一萬零八
Chinese (financial): 壹萬零捌

In other modern scripts

Eastern Arabic ١٠٠٠٨ Devanagari १०००८ Bengali ১০০০৮ Tamil ௧௦௦௦௮ Thai ๑๐๐๐๘ Tibetan ༡༠༠༠༨ Khmer ១០០០៨ Lao ໑໐໐໐໘ Burmese ၁၀၀၀၈

Digit at this position in famous constants

π — Pi (π): Digit 10,008 = 7
e — Euler's number (e): Digit 10,008 = 2
φ — Golden ratio (φ): Digit 10,008 = 5
√2 — Pythagoras's (√2): Digit 10,008 = 9
ln 2 — Natural log of 2: Digit 10,008 = 0
γ — Euler-Mascheroni (γ): Digit 10,008 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10008, here are decompositions:

41 + 9967 = 10008
59 + 9949 = 10008
67 + 9941 = 10008
79 + 9929 = 10008
101 + 9907 = 10008
107 + 9901 = 10008
137 + 9871 = 10008
149 + 9859 = 10008

Showing the first eight; more decompositions exist.

Unicode codepoint

✘

Heavy Ballot X

U+2718

Other symbol (So)

UTF-8 encoding: E2 9C 98 (3 bytes).

Lookup U+2718 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002718

RGB(0, 39, 24)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.24.

Address: 0.0.39.24
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.39.24

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

Musical pitch

Heard as a frequency, 10,008 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +9¢)
Scientific pitch (C4 = 256 Hz): D♯9 (9742 Hz, +47¢ — about midway to E9)
Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +10¢)

Position in π

The digit sequence 10008 first appears in π at position 78,134 of the decimal expansion (the 78,134ordinal-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 10008 on Pi Search ↗