Live analysis

3,704

3,704 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.).

3,704 (three thousand seven hundred four) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2³ × 463. Written other ways, in Roman numerals it is MMMDCCIV and in binary, 111001111000.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Refactorable Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

3,692 3,693 3,694 3,695 3,696 3,697 3,698 3,699 3,700 3,701 3,702 3,703 3,704 3,705 3,706 3,707 3,708 3,709 3,710 3,711 3,712 3,713 3,714 3,715 3,716

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 12 bits
Reversed: 4,073
Recamán's sequence: a(6,520) = 3,704
Square (n²): 13,719,616
Cube (n³): 50,817,457,664
Divisor count: 8
σ(n) — sum of divisors: 6,960
φ(n) — Euler's totient: 1,848
Sum of prime factors: 469

Primality

Prime factorization: 2 ³ × 463

Nearest primes: 3,701 (−3) · 3,709 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 4 · 8 · 463 · 926 · 1852 (half) · 3704

Aliquot sum (sum of proper divisors): 3,256

Factor pairs (a × b = 3,704)

1 × 3704

2 × 1852

4 × 926

8 × 463

First multiples

3,704 · 7,408 (double) · 11,112 · 14,816 · 18,520 · 22,224 · 25,928 · 29,632 · 33,336 · 37,040

Sums & aliquot sequence

As consecutive integers: 224 + 225 + … + 239

Aliquot sequence: 3,704 → 3,256 → 3,584 → 4,600 → 6,560 → 9,316 → 8,072 → 7,078 → 3,542 → 3,370 → 2,714 → 1,606 → 1,058 → 601 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,704 = [60; (1, 6, 5, 1, 16, 1, 1, 4, 2, 1, 4, 1, 1, 1, 1, 14, 1, 1, 1, 1, 4, 1, 2, 4, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: three thousand seven hundred four
Ordinal: 3704th
Roman numeral: MMMDCCIV
Binary: 111001111000
Octal: 7170
Hexadecimal: 0xE78
Base64: Dng=
One's complement: 61,831 (16-bit)
Scientific notation: 3.704 × 10³
As a duration: 3,704 s = 1 hour, 1 minute, 44 seconds

In other bases

ternary (3) 12002012

quaternary (4) 321320

quinary (5) 104304

senary (6) 25052

septenary (7) 13541

nonary (9) 5065

undecimal (11) 2868

duodecimal (12) 2188

tridecimal (13) 18bc

tetradecimal (14) 14c8

pentadecimal (15) 116e

Palindromic in base 6

As an angle

3,704° = 10 × 360° + 104°

104° ≈ 1.815 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γψδʹ
Mayan (base 20): 𝋩·𝋥·𝋤
Chinese: 三千七百零四
Chinese (financial): 參仟柒佰零肆

In other modern scripts

Eastern Arabic ٣٧٠٤ Devanagari ३७०४ Bengali ৩৭০৪ Tamil ௩௭௦௪ Thai ๓๗๐๔ Tibetan ༣༧༠༤ Khmer ៣៧០៤ Lao ໓໗໐໔ Burmese ၃၇၀၄

Digit at this position in famous constants

π — Pi (π): Digit 3,704 = 3
e — Euler's number (e): Digit 3,704 = 8
φ — Golden ratio (φ): Digit 3,704 = 4
√2 — Pythagoras's (√2): Digit 3,704 = 8
ln 2 — Natural log of 2: Digit 3,704 = 9
γ — Euler-Mascheroni (γ): Digit 3,704 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3704, here are decompositions:

3 + 3701 = 3704
7 + 3697 = 3704
13 + 3691 = 3704
31 + 3673 = 3704
61 + 3643 = 3704
67 + 3637 = 3704
73 + 3631 = 3704
97 + 3607 = 3704

Showing the first eight; more decompositions exist.

Hex color

#000E78

RGB(0, 14, 120)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.14.120.

Address: 0.0.14.120
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.14.120

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

Calculator-display word

Type 3,704 on a seven-segment calculator, flip it 180°, and the display reads:

hOLE

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

Musical pitch

Heard as a frequency, 3,704 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯7 (3729.3 Hz, -12¢)
Scientific pitch (C4 = 256 Hz): A♯7 (3649.1 Hz, +26¢)
Baroque pitch (A4 = 415 Hz): B7 (3726.6 Hz, -11¢)

Position in π

The digit sequence 3704 first appears in π at position 28,867 of the decimal expansion (the 28,867ordinal-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 3704 on Pi Search ↗