1,597
1,597 is a prime, odd, a calendar year.
1,597 (one thousand five hundred ninety-seven) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. It is a Fibonacci number. Written other ways, in Roman numerals it is MDXCVII and in binary, 11000111101.
Interestingness
Notable events — 1597 AD
- Feb 5 Twenty-six Christians are crucified in Nagasaki.
- Oct 26 Korean Admiral Yi Sun-sin wins the Battle of Myeongnyang.
- Apr 26 Robert Cecil rises to become Elizabeth I's chief minister.
Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0
Year facts
- Year type
-
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
- Days in year
- 365
- ISO weeks
- 52
- Started on
-
Wednesday
January 1, 1597
- Ended on
-
Wednesday
December 31, 1597
- Friday the 13ths
-
1
One Friday the 13th this year.
- Easter Sunday
-
April 6
Sunday, April 6, 1597
- Decade
-
1590s
1590–1599
- Century
-
16th century
1501–1600
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
429
429 years before 2026.
In other calendars
- Hebrew
-
5357 / 5358 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
1005 / 1006 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Fire zodiac:Rooster
Sexagenary cycle position 34 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
2140 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
975 / 976 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1589 / 1590 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1519 / 1518 Saka
Indian national calendar; year starts in March.
Properties
Primality
1,597 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,597 = [39; (1, 25, 1, 1, 1, 8, 4, 1, 1, 2, 2, 2, 6, 4, 19, 1, 2, 1, 5, 1, 10, 1, 1, 3, …)]
Period length 49 — the block in parentheses repeats forever.
Representations
- In words
- one thousand five hundred ninety-seven
- Ordinal
- 1597th
- Roman numeral
- MDXCVII
- Binary
- 11000111101
- Octal
- 3075
- Hexadecimal
- 0x63D
- Base64
- Bj0=
- One's complement
- 63,938 (16-bit)
- Scientific notation
- 1.597 × 10³
- As a duration
- 1,597 s = 26 minutes, 37 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵αφϟζʹ
- Mayan (base 20)
- 𝋣·𝋳·𝋱
- Chinese
- 一千五百九十七
- Chinese (financial)
- 壹仟伍佰玖拾柒
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,597 = 3
- e — Euler's number (e)
- Digit 1,597 = 0
- φ — Golden ratio (φ)
- Digit 1,597 = 8
- √2 — Pythagoras's (√2)
- Digit 1,597 = 6
- ln 2 — Natural log of 2
- Digit 1,597 = 2
- γ — Euler-Mascheroni (γ)
- Digit 1,597 = 1
Also seen as
UTF-8 encoding: D8 BD (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.61.
- Address
- 0.0.6.61
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.6.61
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,597 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G6 (1568 Hz, +32¢)
- Scientific pitch (C4 = 256 Hz): G♯6 (1625.5 Hz, -31¢)
- Baroque pitch (A4 = 415 Hz): G♯6 (1566.8 Hz, +33¢)
The digit sequence 1597 first appears in π at position 10,118 of the decimal expansion (the 10,118ordinal-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.
Related reading
- Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
- Fibonacci numbers — The sequence where each term is the sum of the two before it — and why it turns up everywhere.
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.