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5,372

5,372 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.).

5,372 (five thousand three hundred seventy-two) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 17 × 79. Written other ways, in hexadecimal, 0x14FC.

Arithmetic Number Cube-Free Deficient Number Evil Number Harshad / Niven Recamán's Sequence Self Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
17
Digit product
210
Digital root
8
Palindrome
No
Bit width
13 bits
Reversed
2,735
Recamán's sequence
a(2,536) = 5,372
Square (n²)
28,858,384
Cube (n³)
155,027,238,848
Divisor count
12
σ(n) — sum of divisors
10,080
φ(n) — Euler's totient
2,496
Sum of prime factors
100

Primality

Prime factorization: 2 2 × 17 × 79

Nearest primes: 5,351 (−21) · 5,381 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 17 · 34 · 68 · 79 · 158 · 316 · 1343 · 2686 (half) · 5372
Aliquot sum (sum of proper divisors): 4,708
Factor pairs (a × b = 5,372)
1 × 5372
2 × 2686
4 × 1343
17 × 316
34 × 158
68 × 79
First multiples
5,372 · 10,744 (double) · 16,116 · 21,488 · 26,860 · 32,232 · 37,604 · 42,976 · 48,348 · 53,720

Sums & aliquot sequence

As consecutive integers: 668 + 669 + … + 675 308 + 309 + … + 324 29 + 30 + … + 107
Aliquot sequence: 5,372 4,708 4,364 3,280 4,532 4,204 3,160 4,040 5,140 5,696 5,734 3,194 1,600 2,337 1,023 513 287 — unresolved within range

Continued fraction of √n

√5,372 = [73; (3, 2, 2, 17, 1, 10, 3, 36, 3, 10, 1, 17, 2, 2, 3, 146)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
five thousand three hundred seventy-two
Ordinal
5372nd
Binary
1010011111100
Octal
12374
Hexadecimal
0x14FC
Base64
FPw=
One's complement
60,163 (16-bit)
Scientific notation
5.372 × 10³
As a duration
5,372 s = 1 hour, 29 minutes, 32 seconds
In other bases
ternary (3) 21100222
quaternary (4) 1103330
quinary (5) 132442
senary (6) 40512
septenary (7) 21443
nonary (9) 7328
undecimal (11) 4044
duodecimal (12) 3138
tridecimal (13) 25a3
tetradecimal (14) 1d5a
pentadecimal (15) 18d2

As an angle

5,372° = 14 × 360° + 332°
332° ≈ 5.794 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ετοβʹ
Mayan (base 20)
𝋭·𝋨·𝋬
Chinese
五千三百七十二
Chinese (financial)
伍仟參佰柒拾貳
In other modern scripts
Eastern Arabic ٥٣٧٢ Devanagari ५३७२ Bengali ৫৩৭২ Tamil ௫௩௭௨ Thai ๕๓๗๒ Tibetan ༥༣༧༢ Khmer ៥៣៧២ Lao ໕໓໗໒ Burmese ၅၃၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 5,372 = 0
e — Euler's number (e)
Digit 5,372 = 6
φ — Golden ratio (φ)
Digit 5,372 = 8
√2 — Pythagoras's (√2)
Digit 5,372 = 5
ln 2 — Natural log of 2
Digit 5,372 = 1
γ — Euler-Mascheroni (γ)
Digit 5,372 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5372, here are decompositions:

  • 139 + 5233 = 5372
  • 163 + 5209 = 5372
  • 193 + 5179 = 5372
  • 271 + 5101 = 5372
  • 313 + 5059 = 5372
  • 349 + 5023 = 5372
  • 373 + 4999 = 5372
  • 379 + 4993 = 5372

Showing the first eight; more decompositions exist.

Unicode codepoint
Canadian Syllabics Swo
U+14FC
Other letter (Lo)

UTF-8 encoding: E1 93 BC (3 bytes).

Hex color
#0014FC
RGB(0, 20, 252)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.20.252.

Address
0.0.20.252
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.20.252

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

Musical pitch

Heard as a frequency, 5,372 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E8 (5274 Hz, +32¢)
  • Scientific pitch (C4 = 256 Hz): F8 (5467.5 Hz, -31¢)
  • Baroque pitch (A4 = 415 Hz): F8 (5270.2 Hz, +33¢)
Position in π

The digit sequence 5372 first appears in π at position 7,077 of the decimal expansion (the 7,077ordinal-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

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