Live analysis

5,380

5,380 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.).

5,380 (five thousand three hundred eighty) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 269. Its proper divisors sum to 5,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1504.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

5,368 5,369 5,370 5,371 5,372 5,373 5,374 5,375 5,376 5,377 5,378 5,379 5,380 5,381 5,382 5,383 5,384 5,385 5,386 5,387 5,388 5,389 5,390 5,391 5,392

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 13 bits
Reversed: 835
Recamán's sequence: a(2,552) = 5,380
Square (n²): 28,944,400
Cube (n³): 155,720,872,000
Divisor count: 12
σ(n) — sum of divisors: 11,340
φ(n) — Euler's totient: 2,144
Sum of prime factors: 278

Primality

Prime factorization: 2 ² × 5 × 269

Nearest primes: 5,351 (−29) · 5,381 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 269 · 538 · 1076 · 1345 · 2690 (half) · 5380

Aliquot sum (sum of proper divisors): 5,960

Factor pairs (a × b = 5,380)

1 × 5380

2 × 2690

4 × 1345

5 × 1076

10 × 538

20 × 269

First multiples

5,380 · 10,760 (double) · 16,140 · 21,520 · 26,900 · 32,280 · 37,660 · 43,040 · 48,420 · 53,800

Sums & aliquot sequence

As a sum of two squares: 14² + 72² = 32² + 66²

As consecutive integers: 1,074 + 1,075 + 1,076 + 1,077 + 1,078 669 + 670 + … + 676 115 + 116 + … + 154

Aliquot sequence: 5,380 → 5,960 → 7,540 → 10,100 → 12,034 → 7,694 → 3,850 → 5,078 → 2,542 → 1,490 → 1,210 → 1,184 → 1,210 — enters a cycle

Continued fraction of √n

√5,380 = [73; (2, 1, 6, 1, 2, 146)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: five thousand three hundred eighty
Ordinal: 5380th
Binary: 1010100000100
Octal: 12404
Hexadecimal: 0x1504
Base64: FQQ=
One's complement: 60,155 (16-bit)
Scientific notation: 5.38 × 10³
As a duration: 5,380 s = 1 hour, 29 minutes, 40 seconds

In other bases

ternary (3) 21101021

quaternary (4) 1110010

quinary (5) 133010

senary (6) 40524

septenary (7) 21454

nonary (9) 7337

undecimal (11) 4051

duodecimal (12) 3144

tridecimal (13) 25ab

tetradecimal (14) 1d64

pentadecimal (15) 18da

Palindromic in base 9

As an angle

5,380° = 14 × 360° + 340°

340° ≈ 5.934 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ετπʹ
Mayan (base 20): 𝋭·𝋩·𝋠
Chinese: 五千三百八十
Chinese (financial): 伍仟參佰捌拾

In other modern scripts

Eastern Arabic ٥٣٨٠ Devanagari ५३८० Bengali ৫৩৮০ Tamil ௫௩௮௦ Thai ๕๓๘๐ Tibetan ༥༣༨༠ Khmer ៥៣៨០ Lao ໕໓໘໐ Burmese ၅၃၈၀

Digit at this position in famous constants

π — Pi (π): Digit 5,380 = 0
e — Euler's number (e): Digit 5,380 = 1
φ — Golden ratio (φ): Digit 5,380 = 4
√2 — Pythagoras's (√2): Digit 5,380 = 3
ln 2 — Natural log of 2: Digit 5,380 = 6
γ — Euler-Mascheroni (γ): Digit 5,380 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5380, here are decompositions:

29 + 5351 = 5380
47 + 5333 = 5380
71 + 5309 = 5380
83 + 5297 = 5380
101 + 5279 = 5380
107 + 5273 = 5380
149 + 5231 = 5380
191 + 5189 = 5380

Showing the first eight; more decompositions exist.

Unicode codepoint

ᔄ

Canadian Syllabics Naskapi Swaa

U+1504

Other letter (Lo)

UTF-8 encoding: E1 94 84 (3 bytes).

Lookup U+1504 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001504

RGB(0, 21, 4)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.21.4.

Address: 0.0.21.4
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.21.4

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

Calculator-display word

Type 5,380 on a seven-segment calculator, flip it 180°, and the display reads:

OBES

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

Musical pitch

Heard as a frequency, 5,380 Hz is closest to:

Concert pitch (A4 = 440 Hz): E8 (5274 Hz, +34¢)
Scientific pitch (C4 = 256 Hz): F8 (5467.5 Hz, -28¢)
Baroque pitch (A4 = 415 Hz): F8 (5270.2 Hz, +36¢)

Position in π

The digit sequence 5380 first appears in π at position 14,079 of the decimal expansion (the 14,079ordinal-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 5380 on Pi Search ↗