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5,704

5,704 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.).

5,704 (five thousand seven hundred four) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 23 × 31. Its proper divisors sum to 5,816, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1648.

Abundant Number Arithmetic Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
13 bits
Reversed
4,075
Recamán's sequence
a(3,656) = 5,704
Square (n²)
32,535,616
Cube (n³)
185,583,153,664
Divisor count
16
σ(n) — sum of divisors
11,520
φ(n) — Euler's totient
2,640
Sum of prime factors
60

Primality

Prime factorization: 2 3 × 23 × 31

Nearest primes: 5,701 (−3) · 5,711 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 23 · 31 · 46 · 62 · 92 · 124 · 184 · 248 · 713 · 1426 · 2852 (half) · 5704
Aliquot sum (sum of proper divisors): 5,816
Factor pairs (a × b = 5,704)
1 × 5704
2 × 2852
4 × 1426
8 × 713
23 × 248
31 × 184
46 × 124
62 × 92
First multiples
5,704 · 11,408 (double) · 17,112 · 22,816 · 28,520 · 34,224 · 39,928 · 45,632 · 51,336 · 57,040

Sums & aliquot sequence

As consecutive integers: 349 + 350 + … + 364 237 + 238 + … + 259 169 + 170 + … + 199
Aliquot sequence: 5,704 5,816 5,104 6,056 5,314 2,660 4,060 6,020 8,764 8,820 22,302 35,298 44,730 90,054 105,102 122,658 122,670 — unresolved within range

Continued fraction of √n

√5,704 = [75; (1, 1, 9, 1, 1, 3, 6, 3, 1, 1, 9, 1, 1, 150)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
five thousand seven hundred four
Ordinal
5704th
Binary
1011001001000
Octal
13110
Hexadecimal
0x1648
Base64
Fkg=
One's complement
59,831 (16-bit)
Scientific notation
5.704 × 10³
As a duration
5,704 s = 1 hour, 35 minutes, 4 seconds
In other bases
ternary (3) 21211021
quaternary (4) 1121020
quinary (5) 140304
senary (6) 42224
septenary (7) 22426
nonary (9) 7737
undecimal (11) 4316
duodecimal (12) 3374
tridecimal (13) 279a
tetradecimal (14) 2116
pentadecimal (15) 1a54
Palindromic in base 6

As an angle

5,704° = 15 × 360° + 304°
304° ≈ 5.306 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵εψδʹ
Mayan (base 20)
𝋮·𝋥·𝋤
Chinese
五千七百零四
Chinese (financial)
伍仟柒佰零肆
In other modern scripts
Eastern Arabic ٥٧٠٤ Devanagari ५७०४ Bengali ৫৭০৪ Tamil ௫௭௦௪ Thai ๕๗๐๔ Tibetan ༥༧༠༤ Khmer ៥៧០៤ Lao ໕໗໐໔ Burmese ၅၇၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 5,704 = 5
e — Euler's number (e)
Digit 5,704 = 2
φ — Golden ratio (φ)
Digit 5,704 = 4
√2 — Pythagoras's (√2)
Digit 5,704 = 1
ln 2 — Natural log of 2
Digit 5,704 = 3
γ — Euler-Mascheroni (γ)
Digit 5,704 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5704, here are decompositions:

  • 3 + 5701 = 5704
  • 11 + 5693 = 5704
  • 47 + 5657 = 5704
  • 53 + 5651 = 5704
  • 113 + 5591 = 5704
  • 131 + 5573 = 5704
  • 173 + 5531 = 5704
  • 197 + 5507 = 5704

Showing the first eight; more decompositions exist.

Unicode codepoint
Canadian Syllabics Carrier Dzu
U+1648
Other letter (Lo)

UTF-8 encoding: E1 99 88 (3 bytes).

Hex color
#001648
RGB(0, 22, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.22.72.

Address
0.0.22.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.22.72

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

Calculator-display word

Type 5,704 on a seven-segment calculator, flip it 180°, and the display reads:

hOLS

A staple of calculator humor since pocket calculators put digits in front of bored students.

Musical pitch

Heard as a frequency, 5,704 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F8 (5587.7 Hz, +36¢)
  • Scientific pitch (C4 = 256 Hz): F♯8 (5792.6 Hz, -27¢)
  • Baroque pitch (A4 = 415 Hz): F♯8 (5583.6 Hz, +37¢)
Position in π

The digit sequence 5704 first appears in π at position 10,311 of the decimal expansion (the 10,311ordinal-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