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3,346

3,346 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.).

3,346 (three thousand three hundred forty-six) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 7 × 239. Written other ways, in Roman numerals it is MMMCCCXLVI and in binary, 110100010010.

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

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
16
Digit product
216
Digital root
7
Palindrome
No
Bit width
12 bits
Reversed
6,433
Recamán's sequence
a(29,452) = 3,346
Square (n²)
11,195,716
Cube (n³)
37,460,865,736
Divisor count
8
σ(n) — sum of divisors
5,760
φ(n) — Euler's totient
1,428
Sum of prime factors
248

Primality

Prime factorization: 2 × 7 × 239

Nearest primes: 3,343 (−3) · 3,347 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 7 · 14 · 239 · 478 · 1673 (half) · 3346
Aliquot sum (sum of proper divisors): 2,414
Factor pairs (a × b = 3,346)
1 × 3346
2 × 1673
7 × 478
14 × 239
First multiples
3,346 · 6,692 (double) · 10,038 · 13,384 · 16,730 · 20,076 · 23,422 · 26,768 · 30,114 · 33,460

Sums & aliquot sequence

As consecutive integers: 835 + 836 + 837 + 838 475 + 476 + … + 481 106 + 107 + … + 133
Aliquot sequence: 3,346 2,414 1,474 974 490 536 484 447 153 81 40 50 43 1 0 — terminates at zero

Continued fraction of √n

√3,346 = [57; (1, 5, 2, 3, 2, 1, 1, 7, 8, 7, 1, 1, 2, 3, 2, 5, 1, 114)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
three thousand three hundred forty-six
Ordinal
3346th
Roman numeral
MMMCCCXLVI
Binary
110100010010
Octal
6422
Hexadecimal
0xD12
Base64
DRI=
One's complement
62,189 (16-bit)
Scientific notation
3.346 × 10³
As a duration
3,346 s = 55 minutes, 46 seconds
In other bases
ternary (3) 11120221
quaternary (4) 310102
quinary (5) 101341
senary (6) 23254
septenary (7) 12520
nonary (9) 4527
undecimal (11) 2572
duodecimal (12) 1b2a
tridecimal (13) 16a5
tetradecimal (14) 1310
pentadecimal (15) ed1

As an angle

3,346° = 9 × 360° + 106°
106° ≈ 1.85 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵γτμϛʹ
Mayan (base 20)
𝋨·𝋧·𝋦
Chinese
三千三百四十六
Chinese (financial)
參仟參佰肆拾陸
In other modern scripts
Eastern Arabic ٣٣٤٦ Devanagari ३३४६ Bengali ৩৩৪৬ Tamil ௩௩௪௬ Thai ๓๓๔๖ Tibetan ༣༣༤༦ Khmer ៣៣៤៦ Lao ໓໓໔໖ Burmese ၃၃၄၆

Digit at this position in famous constants

π — Pi (π)
Digit 3,346 = 6
e — Euler's number (e)
Digit 3,346 = 5
φ — Golden ratio (φ)
Digit 3,346 = 1
√2 — Pythagoras's (√2)
Digit 3,346 = 0
ln 2 — Natural log of 2
Digit 3,346 = 6
γ — Euler-Mascheroni (γ)
Digit 3,346 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3346, here are decompositions:

  • 3 + 3343 = 3346
  • 17 + 3329 = 3346
  • 23 + 3323 = 3346
  • 47 + 3299 = 3346
  • 89 + 3257 = 3346
  • 137 + 3209 = 3346
  • 179 + 3167 = 3346
  • 227 + 3119 = 3346

Showing the first eight; more decompositions exist.

Unicode codepoint
Malayalam Letter O
U+0D12
Other letter (Lo)

UTF-8 encoding: E0 B4 92 (3 bytes).

Hex color
#000D12
RGB(0, 13, 18)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.18.

Address
0.0.13.18
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.13.18

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

Musical pitch

Heard as a frequency, 3,346 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, +12¢)
  • Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, +50¢ — about midway to A7)
  • Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, +14¢)
Position in π

The digit sequence 3346 first appears in π at position 3,488 of the decimal expansion (the 3,488ordinal-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.

Related reading