Live analysis

3,684

3,684 is a composite number, even.

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.).

3,684 (three thousand six hundred eighty-four) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 307. Its proper divisors sum to 4,940, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMDCLXXXIV and in binary, 111001100100.

Abundant Number Cube-Free Evil Number Keith Number Recamán's Sequence Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

3,672 3,673 3,674 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

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 21
Digit product: 576
Digital root: 3
Palindrome: No
Bit width: 12 bits
Reversed: 4,863
Recamán's sequence: a(996) = 3,684
Square (n²): 13,571,856
Cube (n³): 49,998,717,504
Divisor count: 12
σ(n) — sum of divisors: 8,624
φ(n) — Euler's totient: 1,224
Sum of prime factors: 314

Primality

Prime factorization: 2 ² × 3 × 307

Nearest primes: 3,677 (−7) · 3,691 (+7)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 307 · 614 · 921 · 1228 · 1842 (half) · 3684

Aliquot sum (sum of proper divisors): 4,940

Factor pairs (a × b = 3,684)

1 × 3684

2 × 1842

3 × 1228

4 × 921

6 × 614

12 × 307

First multiples

3,684 · 7,368 (double) · 11,052 · 14,736 · 18,420 · 22,104 · 25,788 · 29,472 · 33,156 · 36,840

Sums & aliquot sequence

As consecutive integers: 1,227 + 1,228 + 1,229 457 + 458 + … + 464 142 + 143 + … + 165

Aliquot sequence: 3,684 → 4,940 → 6,820 → 9,308 → 8,332 → 6,256 → 7,136 → 6,976 → 6,994 → 4,346 → 2,458 → 1,232 → 1,744 → 1,666 → 1,412 → 1,066 → 698 — unresolved within range

Continued fraction of √n

√3,684 = [60; (1, 2, 3, 2, 5, 1, 1, 1, 2, 1, 4, 1, 1, 4, 3, 4, 40, 4, 3, 4, 1, 1, 4, 1, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words: three thousand six hundred eighty-four
Ordinal: 3684th
Roman numeral: MMMDCLXXXIV
Binary: 111001100100
Octal: 7144
Hexadecimal: 0xE64
Base64: DmQ=
One's complement: 61,851 (16-bit)
Scientific notation: 3.684 × 10³
As a duration: 3,684 s = 1 hour, 1 minute, 24 seconds

In other bases

ternary (3) 12001110

quaternary (4) 321210

quinary (5) 104214

senary (6) 25020

septenary (7) 13512

nonary (9) 5043

undecimal (11) 284a

duodecimal (12) 2170

tridecimal (13) 18a5

tetradecimal (14) 14b2

pentadecimal (15) 1159

As an angle

3,684° = 10 × 360° + 84°

84° ≈ 1.466 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γχπδʹ
Mayan (base 20): 𝋩·𝋤·𝋤
Chinese: 三千六百八十四
Chinese (financial): 參仟陸佰捌拾肆

In other modern scripts

Eastern Arabic ٣٦٨٤ Devanagari ३६८४ Bengali ৩৬৮৪ Tamil ௩௬௮௪ Thai ๓๖๘๔ Tibetan ༣༦༨༤ Khmer ៣៦៨៤ Lao ໓໖໘໔ Burmese ၃၆၈၄

Digit at this position in famous constants

π — Pi (π): Digit 3,684 = 8
e — Euler's number (e): Digit 3,684 = 7
φ — Golden ratio (φ): Digit 3,684 = 2
√2 — Pythagoras's (√2): Digit 3,684 = 3
ln 2 — Natural log of 2: Digit 3,684 = 5
γ — Euler-Mascheroni (γ): Digit 3,684 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3684, here are decompositions:

7 + 3677 = 3684
11 + 3673 = 3684
13 + 3671 = 3684
41 + 3643 = 3684
47 + 3637 = 3684
53 + 3631 = 3684
61 + 3623 = 3684
67 + 3617 = 3684

Showing the first eight; more decompositions exist.

Hex color

#000E64

RGB(0, 14, 100)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.14.100.

Address: 0.0.14.100
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.14.100

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

Musical pitch

Heard as a frequency, 3,684 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯7 (3729.3 Hz, -21¢)
Scientific pitch (C4 = 256 Hz): A♯7 (3649.1 Hz, +16¢)
Baroque pitch (A4 = 415 Hz): B7 (3726.6 Hz, -20¢)

Position in π

The digit sequence 3684 first appears in π at position 14,214 of the decimal expansion (the 14,214ordinal-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 3684 on Pi Search ↗