Live analysis

5,072

5,072 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.).

5,072 (five thousand seventy-two) is an even 4-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 317. Written other ways, in hexadecimal, 0x13D0.

Deficient Number Evil Number Recamán's Sequence

Interestingness

★ ☆ ☆ ☆ ☆

1 notable fact · grade F

5,060 5,061 5,062 5,063 5,064 5,065 5,066 5,067 5,068 5,069 5,070 5,071 5,072 5,073 5,074 5,075 5,076 5,077 5,078 5,079 5,080 5,081 5,082 5,083 5,084

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 13 bits
Reversed: 2,705
Recamán's sequence: a(28,068) = 5,072
Square (n²): 25,725,184
Cube (n³): 130,478,133,248
Divisor count: 10
σ(n) — sum of divisors: 9,858
φ(n) — Euler's totient: 2,528
Sum of prime factors: 325

Primality

Prime factorization: 2 ⁴ × 317

Nearest primes: 5,059 (−13) · 5,077 (+5)

Divisors & multiples

All divisors (10)

1 · 2 · 4 · 8 · 16 · 317 · 634 · 1268 · 2536 (half) · 5072

Aliquot sum (sum of proper divisors): 4,786

Factor pairs (a × b = 5,072)

1 × 5072

2 × 2536

4 × 1268

8 × 634

16 × 317

First multiples

5,072 · 10,144 (double) · 15,216 · 20,288 · 25,360 · 30,432 · 35,504 · 40,576 · 45,648 · 50,720

Sums & aliquot sequence

As a sum of two squares: 44² + 56²

As consecutive integers: 143 + 144 + … + 174

Aliquot sequence: 5,072 → 4,786 → 2,396 → 1,804 → 1,724 → 1,300 → 1,738 → 1,142 → 574 → 434 → 334 → 170 → 154 → 134 → 70 → 74 → 40 — unresolved within range

Continued fraction of √n

√5,072 = [71; (4, 1, 1, 2, 2, 1, 5, 2, 19, 1, 7, 1, 19, 2, 5, 1, 2, 2, 1, 1, 4, 142)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: five thousand seventy-two
Ordinal: 5072nd
Binary: 1001111010000
Octal: 11720
Hexadecimal: 0x13D0
Base64: E9A=
One's complement: 60,463 (16-bit)
Scientific notation: 5.072 × 10³
As a duration: 5,072 s = 1 hour, 24 minutes, 32 seconds

In other bases

ternary (3) 20221212

quaternary (4) 1033100

quinary (5) 130242

senary (6) 35252

septenary (7) 20534

nonary (9) 6855

undecimal (11) 38a1

duodecimal (12) 2b28

tridecimal (13) 2402

tetradecimal (14) 1bc4

pentadecimal (15) 1782

As an angle

5,072° = 14 × 360° + 32°

32° ≈ 0.559 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵εοβʹ
Mayan (base 20): 𝋬·𝋭·𝋬
Chinese: 五千零七十二
Chinese (financial): 伍仟零柒拾貳

In other modern scripts

Eastern Arabic ٥٠٧٢ Devanagari ५०७२ Bengali ৫০৭২ Tamil ௫௦௭௨ Thai ๕๐๗๒ Tibetan ༥༠༧༢ Khmer ៥០៧២ Lao ໕໐໗໒ Burmese ၅၀၇၂

Digit at this position in famous constants

π — Pi (π): Digit 5,072 = 0
e — Euler's number (e): Digit 5,072 = 8
φ — Golden ratio (φ): Digit 5,072 = 6
√2 — Pythagoras's (√2): Digit 5,072 = 2
ln 2 — Natural log of 2: Digit 5,072 = 1
γ — Euler-Mascheroni (γ): Digit 5,072 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5072, here are decompositions:

13 + 5059 = 5072
61 + 5011 = 5072
73 + 4999 = 5072
79 + 4993 = 5072
103 + 4969 = 5072
139 + 4933 = 5072
163 + 4909 = 5072
211 + 4861 = 5072

Showing the first eight; more decompositions exist.

Unicode codepoint

Ꮠ

Cherokee Letter So

U+13D0

Uppercase letter (Lu)

UTF-8 encoding: E1 8F 90 (3 bytes).

Lookup U+13D0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0013D0

RGB(0, 19, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.208.

Address: 0.0.19.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.19.208

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

Musical pitch

Heard as a frequency, 5,072 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯8 (4978 Hz, +32¢)
Scientific pitch (C4 = 256 Hz): E8 (5160.6 Hz, -30¢)
Baroque pitch (A4 = 415 Hz): E8 (4974.4 Hz, +34¢)

Position in π

The digit sequence 5072 first appears in π at position 4,877 of the decimal expansion (the 4,877ordinal-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 5072 on Pi Search ↗