number.wiki
Number

3,467

3,467 is a prime, odd.

3,467 (three thousand four hundred sixty-seven) 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 MMMCDLXVII and in binary, 110110001011.

Arithmetic Number Ascending Digits Chen Prime Cousin Prime Cube-Free Deficient Number Emirp Left-Truncatable Prime Odious Number Pernicious Number Prime Recamán's Sequence Safe Prime Sexy Prime Squarefree Twin Prime

Interestingness

13 notable facts · grade A
less more

Properties

Parity
Odd
Digit count
4
Digit sum
20
Digit product
504
Digital root
2
Palindrome
No
Bit width
12 bits
Reversed
7,643
Recamán's sequence
a(14,957) = 3,467
Square (n²)
12,020,089
Cube (n³)
41,673,648,563
Divisor count
2
σ(n) — sum of divisors
3,468
φ(n) — Euler's totient
3,466

Primality

3,467 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 3467
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 3,467)
1 × 3467
First multiples
3,467 · 6,934 (double) · 10,401 · 13,868 · 17,335 · 20,802 · 24,269 · 27,736 · 31,203 · 34,670

Sums & aliquot sequence

As consecutive integers: 1,733 + 1,734

Continued fraction of √n

√3,467 = [58; (1, 7, 2, 2, 1, 1, 1, 2, 4, 6, 1, 2, 3, 8, 1, 3, 5, 1, 15, 1, 57, 1, 15, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
three thousand four hundred sixty-seven
Ordinal
3467th
Roman numeral
MMMCDLXVII
Binary
110110001011
Octal
6613
Hexadecimal
0xD8B
Base64
DYs=
One's complement
62,068 (16-bit)
Scientific notation
3.467 × 10³
As a duration
3,467 s = 57 minutes, 47 seconds
In other bases
ternary (3) 11202102
quaternary (4) 312023
quinary (5) 102332
senary (6) 24015
septenary (7) 13052
nonary (9) 4672
undecimal (11) 2672
duodecimal (12) 200b
tridecimal (13) 1769
tetradecimal (14) 1399
pentadecimal (15) 1062

As an angle

3,467° = 9 × 360° + 227°
227° ≈ 3.962 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵γυξζʹ
Mayan (base 20)
𝋨·𝋭·𝋧
Chinese
三千四百六十七
Chinese (financial)
參仟肆佰陸拾柒
In other modern scripts
Eastern Arabic ٣٤٦٧ Devanagari ३४६७ Bengali ৩৪৬৭ Tamil ௩௪௬௭ Thai ๓๔๖๗ Tibetan ༣༤༦༧ Khmer ៣៤៦៧ Lao ໓໔໖໗ Burmese ၃၄၆၇

Digit at this position in famous constants

π — Pi (π)
Digit 3,467 = 1
e — Euler's number (e)
Digit 3,467 = 5
φ — Golden ratio (φ)
Digit 3,467 = 4
√2 — Pythagoras's (√2)
Digit 3,467 = 2
ln 2 — Natural log of 2
Digit 3,467 = 4
γ — Euler-Mascheroni (γ)
Digit 3,467 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 3,463 (gap of 4)
  • Next prime: 3,469 (gap of 2)

Pair status: twin with 3469, cousin with 3463.

Unicode codepoint
Sinhala Letter Uyanna
U+0D8B
Other letter (Lo)

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

Hex color
#000D8B
RGB(0, 13, 139)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.139.

Address
0.0.13.139
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.13.139

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

Musical pitch

Heard as a frequency, 3,467 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A7 (3520 Hz, -26¢)
  • Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, +11¢)
  • Baroque pitch (A4 = 415 Hz): A♯7 (3517.4 Hz, -25¢)
Position in π

The digit sequence 3467 first appears in π at position 3,076 of the decimal expansion (the 3,076ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.