Number

1,592

1,592 is a composite number, even, a calendar year.

1,592 (one thousand five hundred ninety-two) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2³ × 199. Written other ways, in Roman numerals it is MDXCII and in binary, 11000111000.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,580 1,581 1,582 1,583 1,584 1,585 1,586 1,587 1,588 1,589 1,590 1,591 1,592 1,593 1,594 1,595 1,596 1,597 1,598 1,599 1,600 1,601 1,602 1,603 1,604

less more

Notable events — 1592 AD

May 23 Japan invades Korea, beginning the Imjin War.
Jul 8 Korean Admiral Yi Sun-sin destroys a Japanese fleet at Hansan-do.
Undated Shakespeare's first plays appear in London.

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: 53
Long year: contains 53 ISO weeks.
Started on: Wednesday
January 1, 1592
Ended on: Thursday
December 31, 1592
Friday the 13ths: 2
2 Friday the 13ths this year.
Easter Sunday: March 29
Sunday, March 29, 1592
Decade: 1590s
1590–1599
Century: 16th century
1501–1600
Millennium: 2nd millennium
1001–2000
Years ago: 434
434 years before 2026.

In other calendars

Hebrew: 5352 / 5353 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1000 / 1001 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Dragon
Sexagenary cycle position 29 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2135 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 970 / 971 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1584 / 1585 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1514 / 1513 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 17
Digit product: 90
Digital root: 8
Palindrome: No
Bit width: 11 bits
Reversed: 2,951
Recamán's sequence: a(8,216) = 1,592
Square (n²): 2,534,464
Cube (n³): 4,034,866,688
Divisor count: 8
σ(n) — sum of divisors: 3,000
φ(n) — Euler's totient: 792
Sum of prime factors: 205

Primality

Prime factorization: 2 ³ × 199

Nearest primes: 1,583 (−9) · 1,597 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 4 · 8 · 199 · 398 · 796 (half) · 1592

Aliquot sum (sum of proper divisors): 1,408

Factor pairs (a × b = 1,592)

1 × 1592

2 × 796

4 × 398

8 × 199

First multiples

1,592 · 3,184 (double) · 4,776 · 6,368 · 7,960 · 9,552 · 11,144 · 12,736 · 14,328 · 15,920

Sums & aliquot sequence

As consecutive integers: 92 + 93 + … + 107

Aliquot sequence: 1,592 → 1,408 → 1,652 → 1,708 → 1,764 → 3,423 → 1,825 → 469 → 75 → 49 → 8 → 7 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,592 = [39; (1, 8, 1, 78)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one thousand five hundred ninety-two
Ordinal: 1592nd
Roman numeral: MDXCII
Binary: 11000111000
Octal: 3070
Hexadecimal: 0x638
Base64: Bjg=
One's complement: 63,943 (16-bit)
Scientific notation: 1.592 × 10³
As a duration: 1,592 s = 26 minutes, 32 seconds

In other bases

ternary (3) 2011222

quaternary (4) 120320

quinary (5) 22332

senary (6) 11212

septenary (7) 4433

nonary (9) 2158

undecimal (11) 1218

duodecimal (12) b08

tridecimal (13) 956

tetradecimal (14) 81a

pentadecimal (15) 712

As an angle

1,592° = 4 × 360° + 152°

152° ≈ 2.653 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵αφϟβʹ
Mayan (base 20): 𝋣·𝋳·𝋬
Chinese: 一千五百九十二
Chinese (financial): 壹仟伍佰玖拾貳

In other modern scripts

Eastern Arabic ١٥٩٢ Devanagari १५९२ Bengali ১৫৯২ Tamil ௧௫௯௨ Thai ๑๕๙๒ Tibetan ༡༥༩༢ Khmer ១៥៩២ Lao ໑໕໙໒ Burmese ၁၅၉၂

Digit at this position in famous constants

π — Pi (π): Digit 1,592 = 7
e — Euler's number (e): Digit 1,592 = 1
φ — Golden ratio (φ): Digit 1,592 = 2
√2 — Pythagoras's (√2): Digit 1,592 = 1
ln 2 — Natural log of 2: Digit 1,592 = 7
γ — Euler-Mascheroni (γ): Digit 1,592 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1592, here are decompositions:

13 + 1579 = 1592
43 + 1549 = 1592
61 + 1531 = 1592
103 + 1489 = 1592
109 + 1483 = 1592
139 + 1453 = 1592
163 + 1429 = 1592
193 + 1399 = 1592

Showing the first eight; more decompositions exist.

Unicode codepoint

Arabic Letter Zah

U+0638

Other letter (Lo)

UTF-8 encoding: D8 B8 (2 bytes).

Lookup U+0638 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000638

RGB(0, 6, 56)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.56.

Address: 0.0.6.56
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.56

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

Musical pitch

Heard as a frequency, 1,592 Hz is closest to:

Concert pitch (A4 = 440 Hz): G6 (1568 Hz, +26¢)
Scientific pitch (C4 = 256 Hz): G♯6 (1625.5 Hz, -36¢)
Baroque pitch (A4 = 415 Hz): G♯6 (1566.8 Hz, +28¢)

Position in π

The digit sequence 1592 first appears in π at position 3 of the decimal expansion (the 3ordinal-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 1592 on Pi Search ↗