Live analysis

5,440

5,440 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.).

5,440 (five thousand four hundred forty) is an even 4-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 5 × 17. Its proper divisors sum to 8,276, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1540.

Abundant Number Evil Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

5,428 5,429 5,430 5,431 5,432 5,433 5,434 5,435 5,436 5,437 5,438 5,439 5,440 5,441 5,442 5,443 5,444 5,445 5,446 5,447 5,448 5,449 5,450 5,451 5,452

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 13 bits
Reversed: 445
Recamán's sequence: a(4,116) = 5,440
Square (n²): 29,593,600
Cube (n³): 160,989,184,000
Divisor count: 28
σ(n) — sum of divisors: 13,716
φ(n) — Euler's totient: 2,048
Sum of prime factors: 34

Primality

Prime factorization: 2 ⁶ × 5 × 17

Nearest primes: 5,437 (−3) · 5,441 (+1)

Divisors & multiples

All divisors (28)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 17 · 20 · 32 · 34 · 40 · 64 · 68 · 80 · 85 · 136 · 160 · 170 · 272 · 320 · 340 · 544 · 680 · 1088 · 1360 · 2720 (half) · 5440

Aliquot sum (sum of proper divisors): 8,276

Factor pairs (a × b = 5,440)

1 × 5440

2 × 2720

4 × 1360

5 × 1088

8 × 680

10 × 544

16 × 340

17 × 320

20 × 272

32 × 170

34 × 160

40 × 136

64 × 85

68 × 80

First multiples

5,440 · 10,880 (double) · 16,320 · 21,760 · 27,200 · 32,640 · 38,080 · 43,520 · 48,960 · 54,400

Sums & aliquot sequence

As a sum of two squares: 16² + 72² = 48² + 56²

As consecutive integers: 1,086 + 1,087 + 1,088 + 1,089 + 1,090 312 + 313 + … + 328 22 + 23 + … + 106

Aliquot sequence: 5,440 → 8,276 → 6,214 → 3,866 → 1,936 → 2,187 → 1,093 → 1 → 0 — terminates at zero

Continued fraction of √n

√5,440 = [73; (1, 3, 9, 1, 1, 2, 2, 15, 1, 35, 1, 15, 2, 2, 1, 1, 9, 3, 1, 146)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: five thousand four hundred forty
Ordinal: 5440th
Binary: 1010101000000
Octal: 12500
Hexadecimal: 0x1540
Base64: FUA=
One's complement: 60,095 (16-bit)
Scientific notation: 5.44 × 10³
As a duration: 5,440 s = 1 hour, 30 minutes, 40 seconds

In other bases

ternary (3) 21110111

quaternary (4) 1111000

quinary (5) 133230

senary (6) 41104

septenary (7) 21601

nonary (9) 7414

undecimal (11) 40a6

duodecimal (12) 3194

tridecimal (13) 2626

tetradecimal (14) 1da8

pentadecimal (15) 192a

As an angle

5,440° = 15 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ευμʹ
Mayan (base 20): 𝋭·𝋬·𝋠
Chinese: 五千四百四十
Chinese (financial): 伍仟肆佰肆拾

In other modern scripts

Eastern Arabic ٥٤٤٠ Devanagari ५४४० Bengali ৫৪৪০ Tamil ௫௪௪௦ Thai ๕๔๔๐ Tibetan ༥༤༤༠ Khmer ៥៤៤០ Lao ໕໔໔໐ Burmese ၅၄၄၀

Digit at this position in famous constants

π — Pi (π): Digit 5,440 = 7
e — Euler's number (e): Digit 5,440 = 4
φ — Golden ratio (φ): Digit 5,440 = 3
√2 — Pythagoras's (√2): Digit 5,440 = 5
ln 2 — Natural log of 2: Digit 5,440 = 9
γ — Euler-Mascheroni (γ): Digit 5,440 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5440, here are decompositions:

3 + 5437 = 5440
23 + 5417 = 5440
41 + 5399 = 5440
47 + 5393 = 5440
53 + 5387 = 5440
59 + 5381 = 5440
89 + 5351 = 5440
107 + 5333 = 5440

Showing the first eight; more decompositions exist.

Unicode codepoint

ᕀ

Canadian Syllabics West-Cree Y

U+1540

Other letter (Lo)

UTF-8 encoding: E1 95 80 (3 bytes).

Lookup U+1540 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001540

RGB(0, 21, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.21.64.

Address: 0.0.21.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.21.64

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

Musical pitch

Heard as a frequency, 5,440 Hz is closest to:

Concert pitch (A4 = 440 Hz): F8 (5587.7 Hz, -46¢ — about midway to E8)
Scientific pitch (C4 = 256 Hz): F8 (5467.5 Hz, -9¢)
Baroque pitch (A4 = 415 Hz): F♯8 (5583.6 Hz, -45¢ — about midway to F8)

Position in π

The digit sequence 5440 first appears in π at position 10,453 of the decimal expansion (the 10,453ordinal-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.

Look up 5440 on Pi Search ↗