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3,604

3,604 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.).

3,604 (three thousand six hundred four) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 17 × 53. Written other ways, in Roman numerals it is MMMDCIV and in binary, 111000010100.

Arithmetic Number Cube-Free Deficient Number Gapful Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
12 bits
Reversed
4,063
Recamán's sequence
a(29,268) = 3,604
Square (n²)
12,988,816
Cube (n³)
46,811,692,864
Divisor count
12
σ(n) — sum of divisors
6,804
φ(n) — Euler's totient
1,664
Sum of prime factors
74

Primality

Prime factorization: 2 2 × 17 × 53

Nearest primes: 3,593 (−11) · 3,607 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 17 · 34 · 53 · 68 · 106 · 212 · 901 · 1802 (half) · 3604
Aliquot sum (sum of proper divisors): 3,200
Factor pairs (a × b = 3,604)
1 × 3604
2 × 1802
4 × 901
17 × 212
34 × 106
53 × 68
First multiples
3,604 · 7,208 (double) · 10,812 · 14,416 · 18,020 · 21,624 · 25,228 · 28,832 · 32,436 · 36,040

Sums & aliquot sequence

As a sum of two squares: 2² + 60² = 30² + 52²
As consecutive integers: 447 + 448 + … + 454 204 + 205 + … + 220 42 + 43 + … + 94
Aliquot sequence: 3,604 3,200 4,705 947 1 0 — terminates at zero

Continued fraction of √n

√3,604 = [60; (30, 120)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
three thousand six hundred four
Ordinal
3604th
Roman numeral
MMMDCIV
Binary
111000010100
Octal
7024
Hexadecimal
0xE14
Base64
DhQ=
One's complement
61,931 (16-bit)
Scientific notation
3.604 × 10³
As a duration
3,604 s = 1 hour, 4 seconds
In other bases
ternary (3) 11221111
quaternary (4) 320110
quinary (5) 103404
senary (6) 24404
septenary (7) 13336
nonary (9) 4844
undecimal (11) 2787
duodecimal (12) 2104
tridecimal (13) 1843
tetradecimal (14) 1456
pentadecimal (15) 1104

As an angle

3,604° = 10 × 360° + 4°
4° ≈ 0.07 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹 · 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵γχδʹ
Mayan (base 20)
𝋩·𝋠·𝋤
Chinese
三千六百零四
Chinese (financial)
參仟陸佰零肆
In other modern scripts
Eastern Arabic ٣٦٠٤ Devanagari ३६०४ Bengali ৩৬০৪ Tamil ௩௬௦௪ Thai ๓๖๐๔ Tibetan ༣༦༠༤ Khmer ៣៦០៤ Lao ໓໖໐໔ Burmese ၃၆၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 3,604 = 3
e — Euler's number (e)
Digit 3,604 = 8
φ — Golden ratio (φ)
Digit 3,604 = 7
√2 — Pythagoras's (√2)
Digit 3,604 = 3
ln 2 — Natural log of 2
Digit 3,604 = 7
γ — Euler-Mascheroni (γ)
Digit 3,604 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3604, here are decompositions:

  • 11 + 3593 = 3604
  • 23 + 3581 = 3604
  • 47 + 3557 = 3604
  • 71 + 3533 = 3604
  • 113 + 3491 = 3604
  • 137 + 3467 = 3604
  • 191 + 3413 = 3604
  • 197 + 3407 = 3604

Showing the first eight; more decompositions exist.

Unicode codepoint
Thai Character Do Dek
U+0E14
Other letter (Lo)

UTF-8 encoding: E0 B8 94 (3 bytes).

Hex color
#000E14
RGB(0, 14, 20)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.14.20.

Address
0.0.14.20
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.14.20

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

Musical pitch

Heard as a frequency, 3,604 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A7 (3520 Hz, +41¢)
  • Scientific pitch (C4 = 256 Hz): A♯7 (3649.1 Hz, -22¢)
  • Baroque pitch (A4 = 415 Hz): A♯7 (3517.4 Hz, +42¢)
Position in π

The digit sequence 3604 first appears in π at position 3,753 of the decimal expansion (the 3,753ordinal-suffix:rd 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