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3,689

3,689 is a composite number, odd.

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.).

3,689 (three thousand six hundred eighty-nine) is an odd 4-digit number. It is a composite number with 8 divisors, and factors as 7 × 17 × 31. Written other ways, in Roman numerals it is MMMDCLXXXIX and in binary, 111001101001.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
26
Digit product
1,296
Digital root
8
Palindrome
No
Bit width
12 bits
Reversed
9,863
Recamán's sequence
a(1,006) = 3,689
Square (n²)
13,608,721
Cube (n³)
50,202,571,769
Divisor count
8
σ(n) — sum of divisors
4,608
φ(n) — Euler's totient
2,880
Sum of prime factors
55

Primality

Prime factorization: 7 × 17 × 31

Nearest primes: 3,677 (−12) · 3,691 (+2)

Divisors & multiples

All divisors (8)
1 · 7 · 17 · 31 · 119 · 217 · 527 · 3689
Aliquot sum (sum of proper divisors): 919
Factor pairs (a × b = 3,689)
1 × 3689
7 × 527
17 × 217
31 × 119
First multiples
3,689 · 7,378 (double) · 11,067 · 14,756 · 18,445 · 22,134 · 25,823 · 29,512 · 33,201 · 36,890

Sums & aliquot sequence

As consecutive integers: 1,844 + 1,845 524 + 525 + … + 530 257 + 258 + … + 270 209 + 210 + … + 225
Aliquot sequence: 3,689 919 1 0 — terminates at zero

Continued fraction of √n

√3,689 = [60; (1, 2, 1, 4, 9, 7, 2, 14, 1, 2, 1, 1, 6, 1, 1, 2, 1, 14, 2, 7, 9, 4, 1, 2, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
three thousand six hundred eighty-nine
Ordinal
3689th
Roman numeral
MMMDCLXXXIX
Binary
111001101001
Octal
7151
Hexadecimal
0xE69
Base64
Dmk=
One's complement
61,846 (16-bit)
Scientific notation
3.689 × 10³
As a duration
3,689 s = 1 hour, 1 minute, 29 seconds
In other bases
ternary (3) 12001122
quaternary (4) 321221
quinary (5) 104224
senary (6) 25025
septenary (7) 13520
nonary (9) 5048
undecimal (11) 2854
duodecimal (12) 2175
tridecimal (13) 18aa
tetradecimal (14) 14b7
pentadecimal (15) 115e

As an angle

3,689° = 10 × 360° + 89°
89° ≈ 1.553 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵γχπθʹ
Mayan (base 20)
𝋩·𝋤·𝋩
Chinese
三千六百八十九
Chinese (financial)
參仟陸佰捌拾玖
In other modern scripts
Eastern Arabic ٣٦٨٩ Devanagari ३६८९ Bengali ৩৬৮৯ Tamil ௩௬௮௯ Thai ๓๖๘๙ Tibetan ༣༦༨༩ Khmer ៣៦៨៩ Lao ໓໖໘໙ Burmese ၃၆၈၉

Digit at this position in famous constants

π — Pi (π)
Digit 3,689 = 5
e — Euler's number (e)
Digit 3,689 = 4
φ — Golden ratio (φ)
Digit 3,689 = 4
√2 — Pythagoras's (√2)
Digit 3,689 = 7
ln 2 — Natural log of 2
Digit 3,689 = 4
γ — Euler-Mascheroni (γ)
Digit 3,689 = 4

Also seen as

Hex color
#000E69
RGB(0, 14, 105)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.14.105.

Address
0.0.14.105
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.14.105

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

Musical pitch

Heard as a frequency, 3,689 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A♯7 (3729.3 Hz, -19¢)
  • Scientific pitch (C4 = 256 Hz): A♯7 (3649.1 Hz, +19¢)
  • Baroque pitch (A4 = 415 Hz): B7 (3726.6 Hz, -18¢)
Position in π

The digit sequence 3689 first appears in π at position 32,819 of the decimal expansion (the 32,819ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.