Live analysis

5,400

5,400 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.).

5,400 (five thousand four hundred) is an even 4-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3³ × 5². Its proper divisors sum to 13,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1518.

Abundant Number Achilles Number Gapful Number Harshad / Niven Odious Number Pernicious Number Powerful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

5,388 5,389 5,390 5,391 5,392 5,393 5,394 5,395 5,396 5,397 5,398 5,399 5,400 5,401 5,402 5,403 5,404 5,405 5,406 5,407 5,408 5,409 5,410 5,411 5,412

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 13 bits
Reversed: 45
Recamán's sequence: a(4,380) = 5,400
Square (n²): 29,160,000
Cube (n³): 157,464,000,000
Divisor count: 48
σ(n) — sum of divisors: 18,600
φ(n) — Euler's totient: 1,440
Sum of prime factors: 25

Primality

Prime factorization: 2 ³ × 3 ³ × 5 ²

Nearest primes: 5,399 (−1) · 5,407 (+7)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 25 · 27 · 30 · 36 · 40 · 45 · 50 · 54 · 60 · 72 · 75 · 90 · 100 · 108 · 120 · 135 · 150 · 180 · 200 · 216 · 225 · 270 · 300 · 360 · 450 · 540 · 600 · 675 · 900 · 1080 · 1350 · 1800 · 2700 (half) · 5400

Aliquot sum (sum of proper divisors): 13,200

Factor pairs (a × b = 5,400)

1 × 5400

2 × 2700

3 × 1800

4 × 1350

5 × 1080

6 × 900

8 × 675

9 × 600

10 × 540

12 × 450

15 × 360

18 × 300

20 × 270

24 × 225

25 × 216

27 × 200

30 × 180

36 × 150

40 × 135

45 × 120

50 × 108

54 × 100

60 × 90

72 × 75

First multiples

5,400 · 10,800 (double) · 16,200 · 21,600 · 27,000 · 32,400 · 37,800 · 43,200 · 48,600 · 54,000

Sums & aliquot sequence

As consecutive integers: 1,799 + 1,800 + 1,801 1,078 + 1,079 + 1,080 + 1,081 + 1,082 596 + 597 + … + 604 353 + 354 + … + 367

Aliquot sequence: 5,400 → 13,200 → 32,928 → 67,872 → 137,760 → 370,272 → 839,328 → 1,680,672 → 3,568,992 → 7,462,560 → 19,414,752 → 39,516,960 → 110,473,440 → 339,497,760 → 899,132,640 → 2,384,205,600 → 6,485,101,728 — unresolved within range

Continued fraction of √n

√5,400 = [73; (2, 15, 1, 4, 1, 15, 2, 146)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: five thousand four hundred
Ordinal: 5400th
Binary: 1010100011000
Octal: 12430
Hexadecimal: 0x1518
Base64: FRg=
One's complement: 60,135 (16-bit)
Scientific notation: 5.4 × 10³
As a duration: 5,400 s = 1 hour, 30 minutes

In other bases

ternary (3) 21102000

quaternary (4) 1110120

quinary (5) 133100

senary (6) 41000

septenary (7) 21513

nonary (9) 7360

undecimal (11) 406a

duodecimal (12) 3160

tridecimal (13) 25c5

tetradecimal (14) 1d7a

pentadecimal (15) 1900

As an angle

5,400° = 15 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋 ·
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian): ͵ευʹ
Mayan (base 20): 𝋭·𝋪·𝋠
Chinese: 五千四百
Chinese (financial): 伍仟肆佰

In other modern scripts

Eastern Arabic ٥٤٠٠ Devanagari ५४०० Bengali ৫৪০০ Tamil ௫௪௦௦ Thai ๕๔๐๐ Tibetan ༥༤༠༠ Khmer ៥៤០០ Lao ໕໔໐໐ Burmese ၅၄၀၀

Digit at this position in famous constants

π — Pi (π): Digit 5,400 = 3
e — Euler's number (e): Digit 5,400 = 8
φ — Golden ratio (φ): Digit 5,400 = 5
√2 — Pythagoras's (√2): Digit 5,400 = 3
ln 2 — Natural log of 2: Digit 5,400 = 6
γ — Euler-Mascheroni (γ): Digit 5,400 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5400, here are decompositions:

7 + 5393 = 5400
13 + 5387 = 5400
19 + 5381 = 5400
53 + 5347 = 5400
67 + 5333 = 5400
97 + 5303 = 5400
103 + 5297 = 5400
127 + 5273 = 5400

Showing the first eight; more decompositions exist.

Unicode codepoint

ᔘ

Canadian Syllabics West-Cree Shwe

U+1518

Other letter (Lo)

UTF-8 encoding: E1 94 98 (3 bytes).

Lookup U+1518 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001518

RGB(0, 21, 24)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.21.24.

Address: 0.0.21.24
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.21.24

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

Musical pitch

Heard as a frequency, 5,400 Hz is closest to:

Concert pitch (A4 = 440 Hz): E8 (5274 Hz, +41¢)
Scientific pitch (C4 = 256 Hz): F8 (5467.5 Hz, -22¢)
Baroque pitch (A4 = 415 Hz): F8 (5270.2 Hz, +42¢)

Position in π

The digit sequence 5400 first appears in π at position 25,826 of the decimal expansion (the 25,826ordinal-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.

Look up 5400 on Pi Search ↗