1,038
1,038 is a composite number, even, a calendar year.
Historical context — 1038 AD
Calendar year
Year 1038 (MXXXVIII) was a common year starting on Sunday of the Julian calendar.
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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
-
Monday
January 1, 1038
- Ended on
-
Monday
December 31, 1038
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Decade
-
1030s
1030–1039
- Century
-
11th century
1001–1100
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
988
988 years before 2026.
In other calendars
- Hebrew
-
4798 / 4799 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
429 / 430 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Earth zodiac:Tiger
Sexagenary cycle position 15 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1581 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
416 / 417 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1030 / 1031 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
960 / 959 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 × 3 × 173
Divisors & multiples
Sums & aliquot sequence
Representations
- In words
- one thousand thirty-eight
- Ordinal
- 1038th
- Roman numeral
- MXXXVIII
- Binary
- 10000001110
- Octal
- 2016
- Hexadecimal
- 0x40E
- Base64
- BA4=
- One's complement
- 64,497 (16-bit)
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵αληʹ
- Mayan (base 20)
- 𝋢·𝋫·𝋲
- Chinese
- 一千零三十八
- Chinese (financial)
- 壹仟零參拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,038 = 2
- e — Euler's number (e)
- Digit 1,038 = 8
- φ — Golden ratio (φ)
- Digit 1,038 = 1
- √2 — Pythagoras's (√2)
- Digit 1,038 = 2
- ln 2 — Natural log of 2
- Digit 1,038 = 9
- γ — Euler-Mascheroni (γ)
- Digit 1,038 = 7
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1038, here are decompositions:
- 5 + 1033 = 1038
- 7 + 1031 = 1038
- 17 + 1021 = 1038
- 19 + 1019 = 1038
- 29 + 1009 = 1038
- 41 + 997 = 1038
- 47 + 991 = 1038
- 61 + 977 = 1038
Showing the first eight; more decompositions exist.
UTF-8 encoding: D0 8E (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.14.
- Address
- 0.0.4.14
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.4.14
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.
Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.
The digit sequence 1038 first appears in π at position 5,326 of the decimal expansion (the 5,326ordinal-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.