Live analysis

3,723

3,723 is a composite number, odd.

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.).

3,723 (three thousand seven hundred twenty-three) is an odd 4-digit number. It is a composite number with 8 divisors, and factors as 3 × 17 × 73. Written other ways, in Roman numerals it is MMMDCCXXIII and in binary, 111010001011.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

3,711 3,712 3,713 3,714 3,715 3,716 3,717 3,718 3,719 3,720 3,721 3,722 3,723 3,724 3,725 3,726 3,727 3,728 3,729 3,730 3,731 3,732 3,733 3,734 3,735

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 15
Digit product: 126
Digital root: 6
Palindrome: No
Bit width: 12 bits
Reversed: 3,273
Recamán's sequence: a(6,482) = 3,723
Square (n²): 13,860,729
Cube (n³): 51,603,494,067
Divisor count: 8
σ(n) — sum of divisors: 5,328
φ(n) — Euler's totient: 2,304
Sum of prime factors: 93

Primality

Prime factorization: 3 × 17 × 73

Nearest primes: 3,719 (−4) · 3,727 (+4)

Divisors & multiples

All divisors (8)

1 · 3 · 17 · 51 · 73 · 219 · 1241 · 3723

Aliquot sum (sum of proper divisors): 1,605

Factor pairs (a × b = 3,723)

1 × 3723

3 × 1241

17 × 219

51 × 73

First multiples

3,723 · 7,446 (double) · 11,169 · 14,892 · 18,615 · 22,338 · 26,061 · 29,784 · 33,507 · 37,230

Sums & aliquot sequence

As consecutive integers: 1,861 + 1,862 1,240 + 1,241 + 1,242 618 + 619 + 620 + 621 + 622 + 623 211 + 212 + … + 227

Aliquot sequence: 3,723 → 1,605 → 987 → 549 → 257 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,723 = [61; (61, 122)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: three thousand seven hundred twenty-three
Ordinal: 3723rd
Roman numeral: MMMDCCXXIII
Binary: 111010001011
Octal: 7213
Hexadecimal: 0xE8B
Base64: Dos=
One's complement: 61,812 (16-bit)
Scientific notation: 3.723 × 10³
As a duration: 3,723 s = 1 hour, 2 minutes, 3 seconds

In other bases

ternary (3) 12002220

quaternary (4) 322023

quinary (5) 104343

senary (6) 25123

septenary (7) 13566

nonary (9) 5086

undecimal (11) 2885

duodecimal (12) 21a3

tridecimal (13) 1905

tetradecimal (14) 14dd

pentadecimal (15) 1183

As an angle

3,723° = 10 × 360° + 123°

123° ≈ 2.147 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹 𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): ͵γψκγʹ
Mayan (base 20): 𝋩·𝋦·𝋣
Chinese: 三千七百二十三
Chinese (financial): 參仟柒佰貳拾參

In other modern scripts

Eastern Arabic ٣٧٢٣ Devanagari ३७२३ Bengali ৩৭২৩ Tamil ௩௭௨௩ Thai ๓๗๒๓ Tibetan ༣༧༢༣ Khmer ៣៧២៣ Lao ໓໗໒໓ Burmese ၃၇၂၃

Digit at this position in famous constants

π — Pi (π): Digit 3,723 = 7
e — Euler's number (e): Digit 3,723 = 7
φ — Golden ratio (φ): Digit 3,723 = 2
√2 — Pythagoras's (√2): Digit 3,723 = 8
ln 2 — Natural log of 2: Digit 3,723 = 3
γ — Euler-Mascheroni (γ): Digit 3,723 = 7

Also seen as

Hex color

#000E8B

RGB(0, 14, 139)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.14.139.

Address: 0.0.14.139
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.14.139

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

Musical pitch

Heard as a frequency, 3,723 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯7 (3729.3 Hz, -3¢)
Scientific pitch (C4 = 256 Hz): A♯7 (3649.1 Hz, +35¢)
Baroque pitch (A4 = 415 Hz): B7 (3726.6 Hz, -2¢)

Position in π

The digit sequence 3723 first appears in π at position 6,943 of the decimal expansion (the 6,943ordinal-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 3723 on Pi Search ↗