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5,744

5,744 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.).

5,744 (five thousand seven hundred forty-four) is an even 4-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 359. Written other ways, in hexadecimal, 0x1670.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
20
Digit product
560
Digital root
2
Palindrome
No
Bit width
13 bits
Reversed
4,475
Recamán's sequence
a(3,736) = 5,744
Square (n²)
32,993,536
Cube (n³)
189,514,870,784
Divisor count
10
σ(n) — sum of divisors
11,160
φ(n) — Euler's totient
2,864
Sum of prime factors
367

Primality

Prime factorization: 2 4 × 359

Nearest primes: 5,743 (−1) · 5,749 (+5)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 359 · 718 · 1436 · 2872 (half) · 5744
Aliquot sum (sum of proper divisors): 5,416
Factor pairs (a × b = 5,744)
1 × 5744
2 × 2872
4 × 1436
8 × 718
16 × 359
First multiples
5,744 · 11,488 (double) · 17,232 · 22,976 · 28,720 · 34,464 · 40,208 · 45,952 · 51,696 · 57,440

Sums & aliquot sequence

As consecutive integers: 164 + 165 + … + 195
Aliquot sequence: 5,744 5,416 4,754 2,380 3,668 3,724 4,256 5,824 8,400 22,352 25,264 23,716 29,351 4,849 387 185 43 — unresolved within range

Continued fraction of √n

√5,744 = [75; (1, 3, 1, 2, 1, 8, 1, 2, 1, 3, 1, 150)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
five thousand seven hundred forty-four
Ordinal
5744th
Binary
1011001110000
Octal
13160
Hexadecimal
0x1670
Base64
FnA=
One's complement
59,791 (16-bit)
Scientific notation
5.744 × 10³
As a duration
5,744 s = 1 hour, 35 minutes, 44 seconds
In other bases
ternary (3) 21212202
quaternary (4) 1121300
quinary (5) 140434
senary (6) 42332
septenary (7) 22514
nonary (9) 7782
undecimal (11) 4352
duodecimal (12) 33a8
tridecimal (13) 27cb
tetradecimal (14) 2144
pentadecimal (15) 1a7e

As an angle

5,744° = 15 × 360° + 344°
344° ≈ 6.004 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵εψμδʹ
Mayan (base 20)
𝋮·𝋧·𝋤
Chinese
五千七百四十四
Chinese (financial)
伍仟柒佰肆拾肆
In other modern scripts
Eastern Arabic ٥٧٤٤ Devanagari ५७४४ Bengali ৫৭৪৪ Tamil ௫௭௪௪ Thai ๕๗๔๔ Tibetan ༥༧༤༤ Khmer ៥៧៤៤ Lao ໕໗໔໔ Burmese ၅၇၄၄

Digit at this position in famous constants

π — Pi (π)
Digit 5,744 = 3
e — Euler's number (e)
Digit 5,744 = 7
φ — Golden ratio (φ)
Digit 5,744 = 4
√2 — Pythagoras's (√2)
Digit 5,744 = 5
ln 2 — Natural log of 2
Digit 5,744 = 7
γ — Euler-Mascheroni (γ)
Digit 5,744 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5744, here are decompositions:

  • 3 + 5741 = 5744
  • 7 + 5737 = 5744
  • 43 + 5701 = 5744
  • 61 + 5683 = 5744
  • 97 + 5647 = 5744
  • 103 + 5641 = 5744
  • 163 + 5581 = 5744
  • 181 + 5563 = 5744

Showing the first eight; more decompositions exist.

Unicode codepoint
Canadian Syllabics Ngai
U+1670
Other letter (Lo)

UTF-8 encoding: E1 99 B0 (3 bytes).

Hex color
#001670
RGB(0, 22, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.22.112.

Address
0.0.22.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.22.112

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

Musical pitch

Heard as a frequency, 5,744 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F8 (5587.7 Hz, +48¢ — about midway to F♯8)
  • Scientific pitch (C4 = 256 Hz): F♯8 (5792.6 Hz, -15¢)
  • Baroque pitch (A4 = 415 Hz): F♯8 (5583.6 Hz, +49¢ — about midway to G8)
Position in π

The digit sequence 5744 first appears in π at position 8,473 of the decimal expansion (the 8,473ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.