Live analysis

3,872

3,872 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.).

3,872 (three thousand eight hundred seventy-two) is an even 4-digit number. It is a composite number with 18 divisors, and factors as 2⁵ × 11². Its proper divisors sum to 4,507, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMDCCCLXXII and in binary, 111100100000.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

3,860 3,861 3,862 3,863 3,864 3,865 3,866 3,867 3,868 3,869 3,870 3,871 3,872 3,873 3,874 3,875 3,876 3,877 3,878 3,879 3,880 3,881 3,882 3,883 3,884

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 20
Digit product: 336
Digital root: 2
Palindrome: No
Bit width: 12 bits
Reversed: 2,783
Recamán's sequence: a(6,184) = 3,872
Square (n²): 14,992,384
Cube (n³): 58,050,510,848
Divisor count: 18
σ(n) — sum of divisors: 8,379
φ(n) — Euler's totient: 1,760
Sum of prime factors: 32

Primality

Prime factorization: 2 ⁵ × 11 ²

Nearest primes: 3,863 (−9) · 3,877 (+5)

Divisors & multiples

All divisors (18)

1 · 2 · 4 · 8 · 11 · 16 · 22 · 32 · 44 · 88 · 121 · 176 · 242 · 352 · 484 · 968 · 1936 (half) · 3872

Aliquot sum (sum of proper divisors): 4,507

Factor pairs (a × b = 3,872)

1 × 3872

2 × 1936

4 × 968

8 × 484

11 × 352

16 × 242

22 × 176

32 × 121

44 × 88

First multiples

3,872 · 7,744 (double) · 11,616 · 15,488 · 19,360 · 23,232 · 27,104 · 30,976 · 34,848 · 38,720

Sums & aliquot sequence

As a sum of two squares: 44² + 44²

As consecutive integers: 347 + 348 + … + 357 29 + 30 + … + 92

Aliquot sequence: 3,872 → 4,507 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,872 = [62; (4, 2, 3, 2, 4, 124)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: three thousand eight hundred seventy-two
Ordinal: 3872nd
Roman numeral: MMMDCCCLXXII
Binary: 111100100000
Octal: 7440
Hexadecimal: 0xF20
Base64: DyA=
One's complement: 61,663 (16-bit)
Scientific notation: 3.872 × 10³
As a duration: 3,872 s = 1 hour, 4 minutes, 32 seconds

In other bases

ternary (3) 12022102

quaternary (4) 330200

quinary (5) 110442

senary (6) 25532

septenary (7) 14201

nonary (9) 5272

undecimal (11) 2a00

duodecimal (12) 22a8

tridecimal (13) 19bb

tetradecimal (14) 15a8

pentadecimal (15) 1232

As an angle

3,872° = 10 × 360° + 272°

272° ≈ 4.747 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵γωοβʹ
Mayan (base 20): 𝋩·𝋭·𝋬
Chinese: 三千八百七十二
Chinese (financial): 參仟捌佰柒拾貳

In other modern scripts

Eastern Arabic ٣٨٧٢ Devanagari ३८७२ Bengali ৩৮৭২ Tamil ௩௮௭௨ Thai ๓๘๗๒ Tibetan ༣༨༧༢ Khmer ៣៨៧២ Lao ໓໘໗໒ Burmese ၃၈၇၂

Digit at this position in famous constants

π — Pi (π): Digit 3,872 = 9
e — Euler's number (e): Digit 3,872 = 5
φ — Golden ratio (φ): Digit 3,872 = 6
√2 — Pythagoras's (√2): Digit 3,872 = 1
ln 2 — Natural log of 2: Digit 3,872 = 7
γ — Euler-Mascheroni (γ): Digit 3,872 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3872, here are decompositions:

19 + 3853 = 3872
79 + 3793 = 3872
103 + 3769 = 3872
139 + 3733 = 3872
163 + 3709 = 3872
181 + 3691 = 3872
199 + 3673 = 3872
229 + 3643 = 3872

Showing the first eight; more decompositions exist.

Unicode codepoint

༠

Tibetan Digit Zero

U+0F20

Decimal digit (Nd)

UTF-8 encoding: E0 BC A0 (3 bytes).

Lookup U+0F20 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000F20

RGB(0, 15, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.32.

Address: 0.0.15.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.15.32

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

Musical pitch

Heard as a frequency, 3,872 Hz is closest to:

Concert pitch (A4 = 440 Hz): B7 (3951.1 Hz, -35¢)
Scientific pitch (C4 = 256 Hz): B7 (3866.1 Hz, +3¢)
Baroque pitch (A4 = 415 Hz): C8 (3948.2 Hz, -34¢)

Position in π

The digit sequence 3872 first appears in π at position 7,123 of the decimal expansion (the 7,123ordinal-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 3872 on Pi Search ↗