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Number

3,391

3,391 is a prime, odd.

3,391 (three thousand three hundred ninety-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MMMCCCXCI and in binary, 110100111111.

Arithmetic Number Cube-Free Deficient Number Emirp Happy Number Odious Number Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
16
Digit product
81
Digital root
7
Palindrome
No
Bit width
12 bits
Reversed
1,933
Recamán's sequence
a(15,109) = 3,391
Square (n²)
11,498,881
Cube (n³)
38,992,705,471
Divisor count
2
σ(n) — sum of divisors
3,392
φ(n) — Euler's totient
3,390

Primality

3,391 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 3391
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 3,391)
1 × 3391
First multiples
3,391 · 6,782 (double) · 10,173 · 13,564 · 16,955 · 20,346 · 23,737 · 27,128 · 30,519 · 33,910

Sums & aliquot sequence

As consecutive integers: 1,695 + 1,696

Continued fraction of √n

√3,391 = [58; (4, 3, 3, 1, 1, 2, 1, 6, 7, 1, 1, 1, 1, 1, 1, 57, 1, 1, 1, 1, 1, 1, 7, 6, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
three thousand three hundred ninety-one
Ordinal
3391st
Roman numeral
MMMCCCXCI
Binary
110100111111
Octal
6477
Hexadecimal
0xD3F
Base64
DT8=
One's complement
62,144 (16-bit)
Scientific notation
3.391 × 10³
As a duration
3,391 s = 56 minutes, 31 seconds
In other bases
ternary (3) 11122121
quaternary (4) 310333
quinary (5) 102031
senary (6) 23411
septenary (7) 12613
nonary (9) 4577
undecimal (11) 2603
duodecimal (12) 1b67
tridecimal (13) 170b
tetradecimal (14) 1343
pentadecimal (15) 1011

As an angle

3,391° = 9 × 360° + 151°
151° ≈ 2.635 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵γτϟαʹ
Mayan (base 20)
𝋨·𝋩·𝋫
Chinese
三千三百九十一
Chinese (financial)
參仟參佰玖拾壹
In other modern scripts
Eastern Arabic ٣٣٩١ Devanagari ३३९१ Bengali ৩৩৯১ Tamil ௩௩௯௧ Thai ๓๓๙๑ Tibetan ༣༣༩༡ Khmer ៣៣៩១ Lao ໓໓໙໑ Burmese ၃၃၉၁

Digit at this position in famous constants

π — Pi (π)
Digit 3,391 = 2
e — Euler's number (e)
Digit 3,391 = 3
φ — Golden ratio (φ)
Digit 3,391 = 7
√2 — Pythagoras's (√2)
Digit 3,391 = 7
ln 2 — Natural log of 2
Digit 3,391 = 5
γ — Euler-Mascheroni (γ)
Digit 3,391 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 3,389 (gap of 2)
  • Next prime: 3,407 (gap of 16)

Pair status: twin with 3389.

Unicode codepoint
ി
Malayalam Vowel Sign I
U+0D3F
Spacing combining mark (Mc)

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

Hex color
#000D3F
RGB(0, 13, 63)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.63.

Address
0.0.13.63
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.13.63

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

Musical pitch

Heard as a frequency, 3,391 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, +35¢)
  • Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, -27¢)
  • Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, +37¢)
Position in π

The digit sequence 3391 first appears in π at position 5,588 of the decimal expansion (the 5,588ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.