1,538
1,538 is a composite number, even, a calendar year.
Notable events — 1538 AD
- Dec 17 Pope Paul III excommunicates Henry VIII.
- Sep 28 An Ottoman-Holy League battle at Preveza ends in Ottoman naval victory.
- Apr 5 Pizarro defeats Almagro at Las Salinas in Peru.
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
-
Saturday
January 1, 1538
- Ended on
-
Saturday
December 31, 1538
- Friday the 13ths
-
1
One Friday the 13th this year.
- Decade
-
1530s
1530–1539
- Century
-
16th century
1501–1600
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
488
488 years before 2026.
In other calendars
- Hebrew
-
5298 / 5299 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
944 / 945 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Earth zodiac:Dog
Sexagenary cycle position 35 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
2081 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
916 / 917 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1530 / 1531 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1460 / 1459 Saka
Indian national calendar; year starts in March.
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 17
- Digit product
- 120
- Digital root
- 8
- Palindrome
- No
- Bit width
- 11 bits
- Reversed
- 8,351
- Recamán's sequence
- a(1,484) = 1,538
- Square (n²)
- 2,365,444
- Cube (n³)
- 3,638,052,872
- Divisor count
- 4
- σ(n) — sum of divisors
- 2,310
- φ(n) — Euler's totient
- 768
- Sum of prime factors
- 771
Primality
Prime factorization: 2 × 769
Divisors & multiples
Sums & aliquot sequence
Representations
- In words
- one thousand five hundred thirty-eight
- Ordinal
- 1538th
- Roman numeral
- MDXXXVIII
- Binary
- 11000000010
- Octal
- 3002
- Hexadecimal
- 0x602
- Base64
- BgI=
- One's complement
- 63,997 (16-bit)
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵αφληʹ
- Mayan (base 20)
- 𝋣·𝋰·𝋲
- Chinese
- 一千五百三十八
- Chinese (financial)
- 壹仟伍佰參拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,538 = 8
- e — Euler's number (e)
- Digit 1,538 = 7
- φ — Golden ratio (φ)
- Digit 1,538 = 9
- √2 — Pythagoras's (√2)
- Digit 1,538 = 3
- ln 2 — Natural log of 2
- Digit 1,538 = 7
- γ — Euler-Mascheroni (γ)
- Digit 1,538 = 8
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1538, here are decompositions:
- 7 + 1531 = 1538
- 67 + 1471 = 1538
- 79 + 1459 = 1538
- 109 + 1429 = 1538
- 139 + 1399 = 1538
- 157 + 1381 = 1538
- 211 + 1327 = 1538
- 241 + 1297 = 1538
Showing the first eight; more decompositions exist.
UTF-8 encoding: D8 82 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.2.
- Address
- 0.0.6.2
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.6.2
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 1538 first appears in π at position 6,514 of the decimal expansion (the 6,514ordinal-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.