Live analysis

3,088

3,088 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.).

3,088 (three thousand eighty-eight) is an even 4-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 193. Written other ways, in Roman numerals it is MMMLXXXVIII and in binary, 110000010000.

Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

★ ☆ ☆ ☆ ☆

1 notable fact · grade F

3,076 3,077 3,078 3,079 3,080 3,081 3,082 3,083 3,084 3,085 3,086 3,087 3,088 3,089 3,090 3,091 3,092 3,093 3,094 3,095 3,096 3,097 3,098 3,099 3,100

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 12 bits
Reversed: 8,803
Recamán's sequence: a(1,615) = 3,088
Square (n²): 9,535,744
Cube (n³): 29,446,377,472
Divisor count: 10
σ(n) — sum of divisors: 6,014
φ(n) — Euler's totient: 1,536
Sum of prime factors: 201

Primality

Prime factorization: 2 ⁴ × 193

Nearest primes: 3,083 (−5) · 3,089 (+1)

Divisors & multiples

All divisors (10)

1 · 2 · 4 · 8 · 16 · 193 · 386 · 772 · 1544 (half) · 3088

Aliquot sum (sum of proper divisors): 2,926

Factor pairs (a × b = 3,088)

1 × 3088

2 × 1544

4 × 772

8 × 386

16 × 193

First multiples

3,088 · 6,176 (double) · 9,264 · 12,352 · 15,440 · 18,528 · 21,616 · 24,704 · 27,792 · 30,880

Sums & aliquot sequence

As a sum of two squares: 28² + 48²

As consecutive integers: 81 + 82 + … + 112

Aliquot sequence: 3,088 → 2,926 → 2,834 → 1,786 → 1,094 → 550 → 566 → 286 → 218 → 112 → 136 → 134 → 70 → 74 → 40 → 50 → 43 — unresolved within range

Continued fraction of √n

√3,088 = [55; (1, 1, 3, 12, 15, 1, 3, 1, 8, 2, 6, 2, 8, 1, 3, 1, 15, 12, 3, 1, 1, 110)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: three thousand eighty-eight
Ordinal: 3088th
Roman numeral: MMMLXXXVIII
Binary: 110000010000
Octal: 6020
Hexadecimal: 0xC10
Base64: DBA=
One's complement: 62,447 (16-bit)
Scientific notation: 3.088 × 10³
As a duration: 3,088 s = 51 minutes, 28 seconds

In other bases

ternary (3) 11020101

quaternary (4) 300100

quinary (5) 44323

senary (6) 22144

septenary (7) 12001

nonary (9) 4211

undecimal (11) 2358

duodecimal (12) 1954

tridecimal (13) 1537

tetradecimal (14) 11a8

pentadecimal (15) dad

Palindromic in base 15

As an angle

3,088° = 8 × 360° + 208°

208° ≈ 3.63 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γπηʹ
Mayan (base 20): 𝋧·𝋮·𝋨
Chinese: 三千零八十八
Chinese (financial): 參仟零捌拾捌

In other modern scripts

Eastern Arabic ٣٠٨٨ Devanagari ३०८८ Bengali ৩০৮৮ Tamil ௩௦௮௮ Thai ๓๐๘๘ Tibetan ༣༠༨༨ Khmer ៣០៨៨ Lao ໓໐໘໘ Burmese ၃၀၈၈

Digit at this position in famous constants

π — Pi (π): Digit 3,088 = 2
e — Euler's number (e): Digit 3,088 = 0
φ — Golden ratio (φ): Digit 3,088 = 5
√2 — Pythagoras's (√2): Digit 3,088 = 1
ln 2 — Natural log of 2: Digit 3,088 = 6
γ — Euler-Mascheroni (γ): Digit 3,088 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3088, here are decompositions:

5 + 3083 = 3088
47 + 3041 = 3088
89 + 2999 = 3088
131 + 2957 = 3088
149 + 2939 = 3088
179 + 2909 = 3088
191 + 2897 = 3088
227 + 2861 = 3088

Showing the first eight; more decompositions exist.

Unicode codepoint

ఐ

Telugu Letter Ai

U+0C10

Other letter (Lo)

UTF-8 encoding: E0 B0 90 (3 bytes).

Lookup U+0C10 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000C10

RGB(0, 12, 16)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.12.16.

Address: 0.0.12.16
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.12.16

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

Musical pitch

Heard as a frequency, 3,088 Hz is closest to:

Concert pitch (A4 = 440 Hz): G7 (3136 Hz, -27¢)
Scientific pitch (C4 = 256 Hz): G7 (3068.5 Hz, +11¢)
Baroque pitch (A4 = 415 Hz): G♯7 (3133.7 Hz, -25¢)

Position in π

The digit sequence 3088 first appears in π at position 21,272 of the decimal expansion (the 21,272ordinal-suffix:nd 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 3088 on Pi Search ↗