Live analysis

3,311

3,311 is a composite number, odd.

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.).

3,311 (three thousand three hundred eleven) is an odd 4-digit number. It is a composite number with 8 divisors, and factors as 7 × 11 × 43. Written other ways, in Roman numerals it is MMMCCCXI and in binary, 110011101111.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

3,299 3,300 3,301 3,302 3,303 3,304 3,305 3,306 3,307 3,308 3,309 3,310 3,311 3,312 3,313 3,314 3,315 3,316 3,317 3,318 3,319 3,320 3,321 3,322 3,323

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 8
Digit product: 9
Digital root: 8
Palindrome: No
Bit width: 12 bits
Reversed: 1,133
Recamán's sequence: a(6,726) = 3,311
Square (n²): 10,962,721
Cube (n³): 36,297,569,231
Divisor count: 8
σ(n) — sum of divisors: 4,224
φ(n) — Euler's totient: 2,520
Sum of prime factors: 61

Primality

Prime factorization: 7 × 11 × 43

Nearest primes: 3,307 (−4) · 3,313 (+2)

Divisors & multiples

All divisors (8)

1 · 7 · 11 · 43 · 77 · 301 · 473 · 3311

Aliquot sum (sum of proper divisors): 913

Factor pairs (a × b = 3,311)

1 × 3311

7 × 473

11 × 301

43 × 77

First multiples

3,311 · 6,622 (double) · 9,933 · 13,244 · 16,555 · 19,866 · 23,177 · 26,488 · 29,799 · 33,110

Sums & aliquot sequence

As consecutive integers: 1,655 + 1,656 470 + 471 + … + 476 296 + 297 + … + 306 230 + 231 + … + 243

Aliquot sequence: 3,311 → 913 → 95 → 25 → 6 → 6 — reaches a perfect number

Continued fraction of √n

√3,311 = [57; (1, 1, 5, 1, 1, 4, 16, 4, 1, 1, 5, 1, 1, 114)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: three thousand three hundred eleven
Ordinal: 3311th
Roman numeral: MMMCCCXI
Binary: 110011101111
Octal: 6357
Hexadecimal: 0xCEF
Base64: DO8=
One's complement: 62,224 (16-bit)
Scientific notation: 3.311 × 10³
As a duration: 3,311 s = 55 minutes, 11 seconds

In other bases

ternary (3) 11112122

quaternary (4) 303233

quinary (5) 101221

senary (6) 23155

septenary (7) 12440

nonary (9) 4478

undecimal (11) 2540

duodecimal (12) 1abb

tridecimal (13) 1679

tetradecimal (14) 12c7

pentadecimal (15) eab

As an angle

3,311° = 9 × 360° + 71°

71° ≈ 1.239 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺
Greek (Milesian): ͵γτιαʹ
Mayan (base 20): 𝋨·𝋥·𝋫
Chinese: 三千三百一十一
Chinese (financial): 參仟參佰壹拾壹

In other modern scripts

Eastern Arabic ٣٣١١ Devanagari ३३११ Bengali ৩৩১১ Tamil ௩௩௧௧ Thai ๓๓๑๑ Tibetan ༣༣༡༡ Khmer ៣៣១១ Lao ໓໓໑໑ Burmese ၃၃၁၁

Digit at this position in famous constants

π — Pi (π): Digit 3,311 = 1
e — Euler's number (e): Digit 3,311 = 8
φ — Golden ratio (φ): Digit 3,311 = 4
√2 — Pythagoras's (√2): Digit 3,311 = 4
ln 2 — Natural log of 2: Digit 3,311 = 5
γ — Euler-Mascheroni (γ): Digit 3,311 = 1

Also seen as

Unicode codepoint

೯

Kannada Digit Nine

U+0CEF

Decimal digit (Nd)

UTF-8 encoding: E0 B3 AF (3 bytes).

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

Hex color

#000CEF

RGB(0, 12, 239)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.12.239.

Address: 0.0.12.239
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.12.239

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

Musical pitch

Heard as a frequency, 3,311 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, -6¢)
Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, +32¢)
Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, -5¢)

Position in π

The digit sequence 3311 first appears in π at position 1,127 of the decimal expansion (the 1,127ordinal-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 3311 on Pi Search ↗