Number

1,696

1,696 is a composite number, even, a calendar year.

1,696 (one thousand six hundred ninety-six) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 53. Its proper divisors sum to 1,706, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDCXCVI and in binary, 11010100000.

Abundant Number Evil Number Flippable Gapful Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,684 1,685 1,686 1,687 1,688 1,689 1,690 1,691 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

less more

Notable events — 1696 AD

Feb 15 A Jacobite plot to assassinate William III is uncovered.
Aug 13 Peter the Great's forces capture Azov.
Undated Edmond Halley calculates the orbits of comets.

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: Sunday
January 1, 1696
Ended on: Monday
December 31, 1696
Friday the 13ths: 3
3 Friday the 13ths this year.
Easter Sunday: April 22
Sunday, April 22, 1696
Decade: 1690s
1690–1699
Century: 17th century
1601–1700
Millennium: 2nd millennium
1001–2000
Years ago: 330
330 years before 2026.

In other calendars

Hebrew: 5456 / 5457 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1107 / 1108 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Rat
Sexagenary cycle position 13 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2239 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1074 / 1075 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1688 / 1689 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1618 / 1617 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 22
Digit product: 324
Digital root: 4
Palindrome: No
Bit width: 11 bits
Reversed: 6,961
Flips to (rotate 180°): 9,691
Recamán's sequence: a(960) = 1,696
Square (n²): 2,876,416
Cube (n³): 4,878,401,536
Divisor count: 12
σ(n) — sum of divisors: 3,402
φ(n) — Euler's totient: 832
Sum of prime factors: 63

Primality

Prime factorization: 2 ⁵ × 53

Nearest primes: 1,693 (−3) · 1,697 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 8 · 16 · 32 · 53 · 106 · 212 · 424 · 848 (half) · 1696

Aliquot sum (sum of proper divisors): 1,706

Factor pairs (a × b = 1,696)

1 × 1696

2 × 848

4 × 424

8 × 212

16 × 106

32 × 53

First multiples

1,696 · 3,392 (double) · 5,088 · 6,784 · 8,480 · 10,176 · 11,872 · 13,568 · 15,264 · 16,960

Sums & aliquot sequence

As a sum of two squares: 20² + 36²

As consecutive integers: 6 + 7 + … + 58

Aliquot sequence: 1,696 → 1,706 → 856 → 764 → 580 → 680 → 940 → 1,076 → 814 → 554 → 280 → 440 → 640 → 890 → 730 → 602 → 454 — unresolved within range

Continued fraction of √n

√1,696 = [41; (5, 2, 11, 3, 4, 1, 4, 1, 2, 8, 1, 3, 1, 19, 1, 3, 1, 8, 2, 1, 4, 1, 4, 3, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: one thousand six hundred ninety-six
Ordinal: 1696th
Roman numeral: MDCXCVI
Binary: 11010100000
Octal: 3240
Hexadecimal: 0x6A0
Base64: BqA=
One's complement: 63,839 (16-bit)
Scientific notation: 1.696 × 10³
As a duration: 1,696 s = 28 minutes, 16 seconds

In other bases

ternary (3) 2022211

quaternary (4) 122200

quinary (5) 23241

senary (6) 11504

septenary (7) 4642

nonary (9) 2284

undecimal (11) 1302

duodecimal (12) b94

tridecimal (13) a06

tetradecimal (14) 892

pentadecimal (15) 781

As an angle

1,696° = 4 × 360° + 256°

256° ≈ 4.468 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αχϟϛʹ
Mayan (base 20): 𝋤·𝋤·𝋰
Chinese: 一千六百九十六
Chinese (financial): 壹仟陸佰玖拾陸

In other modern scripts

Eastern Arabic ١٦٩٦ Devanagari १६९६ Bengali ১৬৯৬ Tamil ௧௬௯௬ Thai ๑๖๙๖ Tibetan ༡༦༩༦ Khmer ១៦៩៦ Lao ໑໖໙໖ Burmese ၁၆၉၆

Digit at this position in famous constants

π — Pi (π): Digit 1,696 = 4
e — Euler's number (e): Digit 1,696 = 7
φ — Golden ratio (φ): Digit 1,696 = 8
√2 — Pythagoras's (√2): Digit 1,696 = 0
ln 2 — Natural log of 2: Digit 1,696 = 1
γ — Euler-Mascheroni (γ): Digit 1,696 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1696, here are decompositions:

3 + 1693 = 1696
29 + 1667 = 1696
59 + 1637 = 1696
83 + 1613 = 1696
89 + 1607 = 1696
113 + 1583 = 1696
137 + 1559 = 1696
173 + 1523 = 1696

Showing the first eight; more decompositions exist.

Unicode codepoint

Arabic Letter Ain With Three Dots Above

U+06A0

Other letter (Lo)

UTF-8 encoding: DA A0 (2 bytes).

Lookup U+06A0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0006A0

RGB(0, 6, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.160.

Address: 0.0.6.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.160

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

Musical pitch

Heard as a frequency, 1,696 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯6 (1661.2 Hz, +36¢)
Scientific pitch (C4 = 256 Hz): A6 (1722.2 Hz, -26¢)
Baroque pitch (A4 = 415 Hz): A6 (1660 Hz, +37¢)

Position in π

The digit sequence 1696 first appears in π at position 2,142 of the decimal expansion (the 2,142ordinal-suffix:nd 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 1696 on Pi Search ↗