Live analysis

3,687

3,687 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.).

3,687 (three thousand six hundred eighty-seven) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 3 × 1,229. Written other ways, in Roman numerals it is MMMDCLXXXVII and in binary, 111001100111.

Arithmetic Number Binary Palindrome Cube-Free Deficient Number Evil Number Recamán's Sequence Semiprime Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

3,675 3,676 3,677 3,678 3,679 3,680 3,681 3,682 3,683 3,684 3,685 3,686 3,687 3,688 3,689 3,690 3,691 3,692 3,693 3,694 3,695 3,696 3,697 3,698 3,699

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 24
Digit product: 1,008
Digital root: 6
Palindrome: No
Bit width: 12 bits
Reversed: 7,863
Recamán's sequence: a(1,002) = 3,687
Square (n²): 13,593,969
Cube (n³): 50,120,963,703
Divisor count: 4
σ(n) — sum of divisors: 4,920
φ(n) — Euler's totient: 2,456
Sum of prime factors: 1,232

Primality

Prime factorization: 3 × 1229

Nearest primes: 3,677 (−10) · 3,691 (+4)

Divisors & multiples

All divisors (4)

1 · 3 · 1229 · 3687

Aliquot sum (sum of proper divisors): 1,233

Factor pairs (a × b = 3,687)

1 × 3687

3 × 1229

First multiples

3,687 · 7,374 (double) · 11,061 · 14,748 · 18,435 · 22,122 · 25,809 · 29,496 · 33,183 · 36,870

Sums & aliquot sequence

As consecutive integers: 1,843 + 1,844 1,228 + 1,229 + 1,230 612 + 613 + 614 + 615 + 616 + 617

Aliquot sequence: 3,687 → 1,233 → 561 → 303 → 105 → 87 → 33 → 15 → 9 → 4 → 3 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,687 = [60; (1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 19, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 120)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: three thousand six hundred eighty-seven
Ordinal: 3687th
Roman numeral: MMMDCLXXXVII
Binary: 111001100111
Octal: 7147
Hexadecimal: 0xE67
Base64: Dmc=
One's complement: 61,848 (16-bit)
Scientific notation: 3.687 × 10³
As a duration: 3,687 s = 1 hour, 1 minute, 27 seconds

In other bases

ternary (3) 12001120

quaternary (4) 321213

quinary (5) 104222

senary (6) 25023

septenary (7) 13515

nonary (9) 5046

undecimal (11) 2852

duodecimal (12) 2173

tridecimal (13) 18a8

tetradecimal (14) 14b5

pentadecimal (15) 115c

Palindromic in base 2

As an angle

3,687° = 10 × 360° + 87°

87° ≈ 1.518 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γχπζʹ
Mayan (base 20): 𝋩·𝋤·𝋧
Chinese: 三千六百八十七
Chinese (financial): 參仟陸佰捌拾柒

In other modern scripts

Eastern Arabic ٣٦٨٧ Devanagari ३६८७ Bengali ৩৬৮৭ Tamil ௩௬௮௭ Thai ๓๖๘๗ Tibetan ༣༦༨༧ Khmer ៣៦៨៧ Lao ໓໖໘໗ Burmese ၃၆၈၇

Digit at this position in famous constants

π — Pi (π): Digit 3,687 = 5
e — Euler's number (e): Digit 3,687 = 2
φ — Golden ratio (φ): Digit 3,687 = 7
√2 — Pythagoras's (√2): Digit 3,687 = 5
ln 2 — Natural log of 2: Digit 3,687 = 3
γ — Euler-Mascheroni (γ): Digit 3,687 = 8

Also seen as

Hex color

#000E67

RGB(0, 14, 103)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.14.103.

Address: 0.0.14.103
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.14.103

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

Musical pitch

Heard as a frequency, 3,687 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯7 (3729.3 Hz, -20¢)
Scientific pitch (C4 = 256 Hz): A♯7 (3649.1 Hz, +18¢)
Baroque pitch (A4 = 415 Hz): B7 (3726.6 Hz, -18¢)

Position in π

The digit sequence 3687 first appears in π at position 32,918 of the decimal expansion (the 32,918ordinal-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.

Look up 3687 on Pi Search ↗