Number

1,704

1,704 is a composite number, even, a calendar year.

1,704 (one thousand seven hundred four) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 71. Its proper divisors sum to 2,616, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDCCIV and in binary, 11010101000.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Self Number Semiperfect Number Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,692 1,693 1,694 1,695 1,696 1,697 1,698 1,699 1,700 1,701 1,702 1,703 1,704 1,705 1,706 1,707 1,708 1,709 1,710 1,711 1,712 1,713 1,714 1,715 1,716

less more

Notable events — 1704 AD

Aug 13 Marlborough and Eugene of Savoy decisively defeat the French at Blenheim.
Aug 4 British and Dutch forces capture Gibraltar.
Feb 29 French and Native American forces sack Deerfield, Massachusetts.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Tuesday
January 1, 1704
Ended on: Wednesday
December 31, 1704
Friday the 13ths: 1
One Friday the 13th this year.
Easter Sunday: March 23
Sunday, March 23, 1704
Decade: 1700s
1700–1709
Century: 18th century
1701–1800
Millennium: 2nd millennium
1001–2000
Years ago: 322
322 years before 2026.

In other calendars

Hebrew: 5464 / 5465 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1115 / 1116 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Wood zodiac:Monkey
Sexagenary cycle position 21 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2247 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1082 / 1083 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1696 / 1697 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1626 / 1625 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 11 bits
Reversed: 4,071
Recamán's sequence: a(976) = 1,704
Square (n²): 2,903,616
Cube (n³): 4,947,761,664
Divisor count: 16
σ(n) — sum of divisors: 4,320
φ(n) — Euler's totient: 560
Sum of prime factors: 80

Primality

Prime factorization: 2 ³ × 3 × 71

Nearest primes: 1,699 (−5) · 1,709 (+5)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 71 · 142 · 213 · 284 · 426 · 568 · 852 (half) · 1704

Aliquot sum (sum of proper divisors): 2,616

Factor pairs (a × b = 1,704)

1 × 1704

2 × 852

3 × 568

4 × 426

6 × 284

8 × 213

12 × 142

24 × 71

First multiples

1,704 · 3,408 (double) · 5,112 · 6,816 · 8,520 · 10,224 · 11,928 · 13,632 · 15,336 · 17,040

Sums & aliquot sequence

As consecutive integers: 567 + 568 + 569 99 + 100 + … + 114 12 + 13 + … + 59

Aliquot sequence: 1,704 → 2,616 → 3,984 → 6,432 → 10,704 → 17,072 → 19,384 → 16,976 → 15,946 → 13,430 → 12,490 → 10,010 → 14,182 → 10,154 → 5,080 → 6,440 → 10,840 — unresolved within range

Continued fraction of √n

√1,704 = [41; (3, 1, 1, 2, 1, 2, 1, 2, 1, 1, 3, 82)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: one thousand seven hundred four
Ordinal: 1704th
Roman numeral: MDCCIV
Binary: 11010101000
Octal: 3250
Hexadecimal: 0x6A8
Base64: Bqg=
One's complement: 63,831 (16-bit)
Scientific notation: 1.704 × 10³
As a duration: 1,704 s = 28 minutes, 24 seconds

In other bases

ternary (3) 2100010

quaternary (4) 122220

quinary (5) 23304

senary (6) 11520

septenary (7) 4653

nonary (9) 2303

undecimal (11) 130a

duodecimal (12) ba0

tridecimal (13) a11

tetradecimal (14) 89a

pentadecimal (15) 789

As an angle

1,704° = 4 × 360° + 264°

264° ≈ 4.608 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αψδʹ
Mayan (base 20): 𝋤·𝋥·𝋤
Chinese: 一千七百零四
Chinese (financial): 壹仟柒佰零肆

In other modern scripts

Eastern Arabic ١٧٠٤ Devanagari १७०४ Bengali ১৭০৪ Tamil ௧௭௦௪ Thai ๑๗๐๔ Tibetan ༡༧༠༤ Khmer ១៧០៤ Lao ໑໗໐໔ Burmese ၁၇၀၄

Digit at this position in famous constants

π — Pi (π): Digit 1,704 = 4
e — Euler's number (e): Digit 1,704 = 7
φ — Golden ratio (φ): Digit 1,704 = 0
√2 — Pythagoras's (√2): Digit 1,704 = 8
ln 2 — Natural log of 2: Digit 1,704 = 0
γ — Euler-Mascheroni (γ): Digit 1,704 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1704, here are decompositions:

5 + 1699 = 1704
7 + 1697 = 1704
11 + 1693 = 1704
37 + 1667 = 1704
41 + 1663 = 1704
47 + 1657 = 1704
67 + 1637 = 1704
83 + 1621 = 1704

Showing the first eight; more decompositions exist.

Unicode codepoint

Arabic Letter Qaf With Three Dots Above

U+06A8

Other letter (Lo)

UTF-8 encoding: DA A8 (2 bytes).

Lookup U+06A8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0006A8

RGB(0, 6, 168)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.168.

Address: 0.0.6.168
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.168

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

Musical pitch

Heard as a frequency, 1,704 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯6 (1661.2 Hz, +44¢)
Scientific pitch (C4 = 256 Hz): A6 (1722.2 Hz, -18¢)
Baroque pitch (A4 = 415 Hz): A6 (1660 Hz, +45¢ — about midway to A♯6)

Position in π

The digit sequence 1704 first appears in π at position 10,176 of the decimal expansion (the 10,176ordinal-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 1704 on Pi Search ↗