Live analysis

3,008

3,008 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.).

3,008 (three thousand eight) is an even 4-digit number. It is a composite number with 14 divisors, and factors as 2⁶ × 47. Its proper divisors sum to 3,088, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMVIII and in binary, 101111000000.

Abundant Number Octagonal Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

2,996 2,997 2,998 2,999 3,000 3,001 3,002 3,003 3,004 3,005 3,006 3,007 3,008 3,009 3,010 3,011 3,012 3,013 3,014 3,015 3,016 3,017 3,018 3,019 3,020

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 12 bits
Reversed: 8,003
Recamán's sequence: a(1,455) = 3,008
Square (n²): 9,048,064
Cube (n³): 27,216,576,512
Divisor count: 14
σ(n) — sum of divisors: 6,096
φ(n) — Euler's totient: 1,472
Sum of prime factors: 59

Primality

Prime factorization: 2 ⁶ × 47

Nearest primes: 3,001 (−7) · 3,011 (+3)

Divisors & multiples

All divisors (14)

1 · 2 · 4 · 8 · 16 · 32 · 47 · 64 · 94 · 188 · 376 · 752 · 1504 (half) · 3008

Aliquot sum (sum of proper divisors): 3,088

Factor pairs (a × b = 3,008)

1 × 3008

2 × 1504

4 × 752

8 × 376

16 × 188

32 × 94

47 × 64

First multiples

3,008 · 6,016 (double) · 9,024 · 12,032 · 15,040 · 18,048 · 21,056 · 24,064 · 27,072 · 30,080

Sums & aliquot sequence

As consecutive integers: 41 + 42 + … + 87

Aliquot sequence: 3,008 → 3,088 → 2,926 → 2,834 → 1,786 → 1,094 → 550 → 566 → 286 → 218 → 112 → 136 → 134 → 70 → 74 → 40 → 50 — unresolved within range

Continued fraction of √n

√3,008 = [54; (1, 5, 2, 5, 1, 108)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: three thousand eight
Ordinal: 3008th
Roman numeral: MMMVIII
Binary: 101111000000
Octal: 5700
Hexadecimal: 0xBC0
Base64: C8A=
One's complement: 62,527 (16-bit)
Scientific notation: 3.008 × 10³
As a duration: 3,008 s = 50 minutes, 8 seconds

In other bases

ternary (3) 11010102

quaternary (4) 233000

quinary (5) 44013

senary (6) 21532

septenary (7) 11525

nonary (9) 4112

undecimal (11) 2295

duodecimal (12) 18a8

tridecimal (13) 14a5

tetradecimal (14) 114c

pentadecimal (15) d58

As an angle

3,008° = 8 × 360° + 128°

128° ≈ 2.234 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γηʹ
Mayan (base 20): 𝋧·𝋪·𝋨
Chinese: 三千零八
Chinese (financial): 參仟零捌

In other modern scripts

Eastern Arabic ٣٠٠٨ Devanagari ३००८ Bengali ৩০০৮ Tamil ௩௦௦௮ Thai ๓๐๐๘ Tibetan ༣༠༠༨ Khmer ៣០០៨ Lao ໓໐໐໘ Burmese ၃၀၀၈

Digit at this position in famous constants

π — Pi (π): Digit 3,008 = 2
e — Euler's number (e): Digit 3,008 = 2
φ — Golden ratio (φ): Digit 3,008 = 9
√2 — Pythagoras's (√2): Digit 3,008 = 8
ln 2 — Natural log of 2: Digit 3,008 = 4
γ — Euler-Mascheroni (γ): Digit 3,008 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3008, here are decompositions:

7 + 3001 = 3008
37 + 2971 = 3008
151 + 2857 = 3008
157 + 2851 = 3008
211 + 2797 = 3008
241 + 2767 = 3008
277 + 2731 = 3008
331 + 2677 = 3008

Showing the first eight; more decompositions exist.

Unicode codepoint

ீ

Tamil Vowel Sign II

U+0BC0

Non-spacing mark (Mn)

UTF-8 encoding: E0 AF 80 (3 bytes).

Lookup U+0BC0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000BC0

RGB(0, 11, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.192.

Address: 0.0.11.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.11.192

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

Musical pitch

Heard as a frequency, 3,008 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯7 (2960 Hz, +28¢)
Scientific pitch (C4 = 256 Hz): G7 (3068.5 Hz, -34¢)
Baroque pitch (A4 = 415 Hz): G7 (2957.8 Hz, +29¢)

Position in π

The digit sequence 3008 first appears in π at position 11,954 of the decimal expansion (the 11,954ordinal-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 3008 on Pi Search ↗