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Number

3,673

3,673 is a prime, odd.

3,673 (three thousand six hundred seventy-three) 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 MMMDCLXXIII and in binary, 111001011001.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Happy Number Left-Truncatable Prime Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Self Number Squarefree Twin Prime

Interestingness

11 notable facts · grade A
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Properties

Parity
Odd
Digit count
4
Digit sum
19
Digit product
378
Digital root
1
Palindrome
No
Bit width
12 bits
Reversed
3,763
Recamán's sequence
a(29,130) = 3,673
Square (n²)
13,490,929
Cube (n³)
49,552,182,217
Divisor count
2
σ(n) — sum of divisors
3,674
φ(n) — Euler's totient
3,672

Primality

3,673 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 3673
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 3,673)
1 × 3673
First multiples
3,673 · 7,346 (double) · 11,019 · 14,692 · 18,365 · 22,038 · 25,711 · 29,384 · 33,057 · 36,730

Sums & aliquot sequence

As a sum of two squares: 37² + 48²
As consecutive integers: 1,836 + 1,837

Continued fraction of √n

√3,673 = [60; (1, 1, 1, 1, 6, 1, 39, 1, 1, 6, 1, 1, 1, 1, 1, 12, 1, 5, 2, 4, 1, 4, 4, 3, …)]

Representations

In words
three thousand six hundred seventy-three
Ordinal
3673rd
Roman numeral
MMMDCLXXIII
Binary
111001011001
Octal
7131
Hexadecimal
0xE59
Base64
Dlk=
One's complement
61,862 (16-bit)
Scientific notation
3.673 × 10³
As a duration
3,673 s = 1 hour, 1 minute, 13 seconds
In other bases
ternary (3) 12001001
quaternary (4) 321121
quinary (5) 104143
senary (6) 25001
septenary (7) 13465
nonary (9) 5031
undecimal (11) 283a
duodecimal (12) 2161
tridecimal (13) 1897
tetradecimal (14) 14a5
pentadecimal (15) 114d

As an angle

3,673° = 10 × 360° + 73°
73° ≈ 1.274 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵γχογʹ
Mayan (base 20)
𝋩·𝋣·𝋭
Chinese
三千六百七十三
Chinese (financial)
參仟陸佰柒拾參
In other modern scripts
Eastern Arabic ٣٦٧٣ Devanagari ३६७३ Bengali ৩৬৭৩ Tamil ௩௬௭௩ Thai ๓๖๗๓ Tibetan ༣༦༧༣ Khmer ៣៦៧៣ Lao ໓໖໗໓ Burmese ၃၆၇၃

Digit at this position in famous constants

π — Pi (π)
Digit 3,673 = 1
e — Euler's number (e)
Digit 3,673 = 6
φ — Golden ratio (φ)
Digit 3,673 = 6
√2 — Pythagoras's (√2)
Digit 3,673 = 5
ln 2 — Natural log of 2
Digit 3,673 = 8
γ — Euler-Mascheroni (γ)
Digit 3,673 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 3,671 (gap of 2)
  • Next prime: 3,677 (gap of 4)

Pair status: twin with 3671, cousin with 3677.

Unicode codepoint
Thai Digit Nine
U+0E59
Decimal digit (Nd)

UTF-8 encoding: E0 B9 99 (3 bytes).

Hex color
#000E59
RGB(0, 14, 89)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.14.89.

Address
0.0.14.89
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.14.89

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

Musical pitch

Heard as a frequency, 3,673 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A♯7 (3729.3 Hz, -26¢)
  • Scientific pitch (C4 = 256 Hz): A♯7 (3649.1 Hz, +11¢)
  • Baroque pitch (A4 = 415 Hz): B7 (3726.6 Hz, -25¢)
Position in π

The digit sequence 3673 first appears in π at position 504 of the decimal expansion (the 504ordinal-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.