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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.).
Abundant Number Evil Number Keith Number Recamán's Sequence Self Number Semiperfect Number

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

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)
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

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.

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.