Live analysis

3,382

3,382 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.).

3,382 (three thousand three hundred eighty-two) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 19 × 89. Written other ways, in Roman numerals it is MMMCCCLXXXII and in binary, 110100110110.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

3,370 3,371 3,372 3,373 3,374 3,375 3,376 3,377 3,378 3,379 3,380 3,381 3,382 3,383 3,384 3,385 3,386 3,387 3,388 3,389 3,390 3,391 3,392 3,393 3,394

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 16
Digit product: 144
Digital root: 7
Palindrome: No
Bit width: 12 bits
Reversed: 2,833
Recamán's sequence: a(852) = 3,382
Square (n²): 11,437,924
Cube (n³): 38,683,058,968
Divisor count: 8
σ(n) — sum of divisors: 5,400
φ(n) — Euler's totient: 1,584
Sum of prime factors: 110

Primality

Prime factorization: 2 × 19 × 89

Nearest primes: 3,373 (−9) · 3,389 (+7)

Divisors & multiples

All divisors (8)

1 · 2 · 19 · 38 · 89 · 178 · 1691 (half) · 3382

Aliquot sum (sum of proper divisors): 2,018

Factor pairs (a × b = 3,382)

1 × 3382

2 × 1691

19 × 178

38 × 89

First multiples

3,382 · 6,764 (double) · 10,146 · 13,528 · 16,910 · 20,292 · 23,674 · 27,056 · 30,438 · 33,820

Sums & aliquot sequence

As consecutive integers: 844 + 845 + 846 + 847 169 + 170 + … + 187 7 + 8 + … + 82

Aliquot sequence: 3,382 → 2,018 → 1,012 → 1,004 → 760 → 1,040 → 1,564 → 1,460 → 1,648 → 1,576 → 1,394 → 874 → 566 → 286 → 218 → 112 → 136 — unresolved within range

Continued fraction of √n

√3,382 = [58; (6, 2, 4, 1, 4, 1, 2, 1, 1, 2, 5, 6, 1, 1, 1, 9, 1, 12, 58, 12, 1, 9, 1, 1, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words: three thousand three hundred eighty-two
Ordinal: 3382nd
Roman numeral: MMMCCCLXXXII
Binary: 110100110110
Octal: 6466
Hexadecimal: 0xD36
Base64: DTY=
One's complement: 62,153 (16-bit)
Scientific notation: 3.382 × 10³
As a duration: 3,382 s = 56 minutes, 22 seconds

In other bases

ternary (3) 11122021

quaternary (4) 310312

quinary (5) 102012

senary (6) 23354

septenary (7) 12601

nonary (9) 4567

undecimal (11) 25a5

duodecimal (12) 1b5a

tridecimal (13) 1702

tetradecimal (14) 1338

pentadecimal (15) 1007

As an angle

3,382° = 9 × 360° + 142°

142° ≈ 2.478 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵γτπβʹ
Mayan (base 20): 𝋨·𝋩·𝋢
Chinese: 三千三百八十二
Chinese (financial): 參仟參佰捌拾貳

In other modern scripts

Eastern Arabic ٣٣٨٢ Devanagari ३३८२ Bengali ৩৩৮২ Tamil ௩௩௮௨ Thai ๓๓๘๒ Tibetan ༣༣༨༢ Khmer ៣៣៨២ Lao ໓໓໘໒ Burmese ၃၃၈၂

Digit at this position in famous constants

π — Pi (π): Digit 3,382 = 5
e — Euler's number (e): Digit 3,382 = 9
φ — Golden ratio (φ): Digit 3,382 = 5
√2 — Pythagoras's (√2): Digit 3,382 = 7
ln 2 — Natural log of 2: Digit 3,382 = 4
γ — Euler-Mascheroni (γ): Digit 3,382 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3382, here are decompositions:

11 + 3371 = 3382
23 + 3359 = 3382
53 + 3329 = 3382
59 + 3323 = 3382
83 + 3299 = 3382
131 + 3251 = 3382
173 + 3209 = 3382
179 + 3203 = 3382

Showing the first eight; more decompositions exist.

Unicode codepoint

ശ

Malayalam Letter Sha

U+0D36

Other letter (Lo)

UTF-8 encoding: E0 B4 B6 (3 bytes).

Lookup U+0D36 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000D36

RGB(0, 13, 54)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.54.

Address: 0.0.13.54
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.13.54

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

Musical pitch

Heard as a frequency, 3,382 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, +31¢)
Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, -32¢)
Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, +32¢)

Position in π

The digit sequence 3382 first appears in π at position 1,353 of the decimal expansion (the 1,353ordinal-suffix:rd 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 3382 on Pi Search ↗