Number

1,692

1,692 is a composite number, even, a calendar year.

1,692 (one thousand six hundred ninety-two) is an even 4-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 47. Its proper divisors sum to 2,676, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDCXCII and in binary, 11010011100.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,680 1,681 1,682 1,683 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

less more

Notable events — 1692 AD

Feb 29 The Salem witch trials begin in Massachusetts.
Jun 2 Bridget Bishop becomes the first to be executed at Salem.
Jun 7 An earthquake devastates Port Royal, Jamaica.

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, 1692
Ended on: Wednesday
December 31, 1692
Friday the 13ths: 1
One Friday the 13th this year.
Easter Sunday: April 6
Sunday, April 6, 1692
Decade: 1690s
1690–1699
Century: 17th century
1601–1700
Millennium: 2nd millennium
1001–2000
Years ago: 334
334 years before 2026.

In other calendars

Hebrew: 5452 / 5453 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1103 / 1104 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Monkey
Sexagenary cycle position 9 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2235 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1070 / 1071 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1684 / 1685 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1614 / 1613 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 18
Digit product: 108
Digital root: 9
Palindrome: No
Bit width: 11 bits
Reversed: 2,961
Recamán's sequence: a(952) = 1,692
Square (n²): 2,862,864
Cube (n³): 4,843,965,888
Divisor count: 18
σ(n) — sum of divisors: 4,368
φ(n) — Euler's totient: 552
Sum of prime factors: 57

Primality

Prime factorization: 2 ² × 3 ² × 47

Nearest primes: 1,669 (−23) · 1,693 (+1)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 47 · 94 · 141 · 188 · 282 · 423 · 564 · 846 (half) · 1692

Aliquot sum (sum of proper divisors): 2,676

Factor pairs (a × b = 1,692)

1 × 1692

2 × 846

3 × 564

4 × 423

6 × 282

9 × 188

12 × 141

18 × 94

36 × 47

First multiples

1,692 · 3,384 (double) · 5,076 · 6,768 · 8,460 · 10,152 · 11,844 · 13,536 · 15,228 · 16,920

Sums & aliquot sequence

As consecutive integers: 563 + 564 + 565 208 + 209 + … + 215 184 + 185 + … + 192 59 + 60 + … + 82

Aliquot sequence: 1,692 → 2,676 → 3,596 → 3,124 → 2,924 → 2,620 → 2,924 — enters a cycle

Continued fraction of √n

√1,692 = [41; (7, 2, 7, 82)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one thousand six hundred ninety-two
Ordinal: 1692nd
Roman numeral: MDCXCII
Binary: 11010011100
Octal: 3234
Hexadecimal: 0x69C
Base64: Bpw=
One's complement: 63,843 (16-bit)
Scientific notation: 1.692 × 10³
As a duration: 1,692 s = 28 minutes, 12 seconds

In other bases

ternary (3) 2022200

quaternary (4) 122130

quinary (5) 23232

senary (6) 11500

septenary (7) 4635

nonary (9) 2280

undecimal (11) 12a9

duodecimal (12) b90

tridecimal (13) a02

tetradecimal (14) 88c

pentadecimal (15) 77c

Palindromic in base 5

As an angle

1,692° = 4 × 360° + 252°

252° ≈ 4.398 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵αχϟβʹ
Mayan (base 20): 𝋤·𝋤·𝋬
Chinese: 一千六百九十二
Chinese (financial): 壹仟陸佰玖拾貳

In other modern scripts

Eastern Arabic ١٦٩٢ Devanagari १६९२ Bengali ১৬৯২ Tamil ௧௬௯௨ Thai ๑๖๙๒ Tibetan ༡༦༩༢ Khmer ១៦៩២ Lao ໑໖໙໒ Burmese ၁၆၉၂

Digit at this position in famous constants

π — Pi (π): Digit 1,692 = 0
e — Euler's number (e): Digit 1,692 = 9
φ — Golden ratio (φ): Digit 1,692 = 5
√2 — Pythagoras's (√2): Digit 1,692 = 5
ln 2 — Natural log of 2: Digit 1,692 = 0
γ — Euler-Mascheroni (γ): Digit 1,692 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1692, here are decompositions:

23 + 1669 = 1692
29 + 1663 = 1692
71 + 1621 = 1692
73 + 1619 = 1692
79 + 1613 = 1692
83 + 1609 = 1692
109 + 1583 = 1692
113 + 1579 = 1692

Showing the first eight; more decompositions exist.

Unicode codepoint

Arabic Letter Seen With Three Dots Below And Three Dots Above

U+069C

Other letter (Lo)

UTF-8 encoding: DA 9C (2 bytes).

Lookup U+069C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00069C

RGB(0, 6, 156)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.156.

Address: 0.0.6.156
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.156

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

Musical pitch

Heard as a frequency, 1,692 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯6 (1661.2 Hz, +32¢)
Scientific pitch (C4 = 256 Hz): A6 (1722.2 Hz, -31¢)
Baroque pitch (A4 = 415 Hz): A6 (1660 Hz, +33¢)

Position in π

The digit sequence 1692 first appears in π at position 41,002 of the decimal expansion (the 41,002ordinal-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 1692 on Pi Search ↗