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Number

1,258

1,258 is a composite number, even, a calendar year.

Ascending Digits Deficient Number Evil Number Happy Number Recamán's Sequence Sphenic Number Squarefree Year

Notable events — 1258 AD

  1. Feb 10 Mongol forces sack Baghdad, ending the Abbasid Caliphate.

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
Tuesday
January 1, 1258
Ended on
Tuesday
December 31, 1258
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1250s
1250–1259
Century
13th century
1201–1300
Millennium
2nd millennium
1001–2000
Years ago
768
768 years before 2026.

In other calendars

Hebrew
5018 / 5019 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
655 / 656 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Horse
Sexagenary cycle position 55 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1801 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
636 / 637 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1250 / 1251 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1180 / 1179 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
16
Digit product
80
Digital root
7
Palindrome
No
Bit width
11 bits
Reversed
8,521
Recamán's sequence
a(8,472) = 1,258
Square (n²)
1,582,564
Cube (n³)
1,990,865,512
Divisor count
8
σ(n) — sum of divisors
2,052
φ(n) — Euler's totient
576
Sum of prime factors
56

Primality

Prime factorization: 2 × 17 × 37

Nearest primes: 1,249 (−9) · 1,259 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 17 · 34 · 37 · 74 · 629 (half) · 1258
Aliquot sum (sum of proper divisors): 794
Factor pairs (a × b = 1,258)
1 × 1258
2 × 629
17 × 74
34 × 37
First multiples
1,258 · 2,516 (double) · 3,774 · 5,032 · 6,290 · 7,548 · 8,806 · 10,064 · 11,322 · 12,580

Sums & aliquot sequence

As a sum of two squares: 13² + 33² = 23² + 27²
As consecutive integers: 313 + 314 + 315 + 316 66 + 67 + … + 82 16 + 17 + … + 52
Aliquot sequence: 1,258 794 400 561 303 105 87 33 15 9 4 3 1 0 — terminates at zero

Representations

In words
one thousand two hundred fifty-eight
Ordinal
1258th
Roman numeral
MCCLVIII
Binary
10011101010
Octal
2352
Hexadecimal
0x4EA
Base64
BOo=
One's complement
64,277 (16-bit)
In other bases
ternary (3) 1201121
quaternary (4) 103222
quinary (5) 20013
senary (6) 5454
septenary (7) 3445
nonary (9) 1647
undecimal (11) a44
duodecimal (12) 88a
tridecimal (13) 75a
tetradecimal (14) 65c
pentadecimal (15) 58d

Historical numeral systems

Babylonian (base 60)
𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ασνηʹ
Mayan (base 20)
𝋣·𝋢·𝋲
Chinese
一千二百五十八
Chinese (financial)
壹仟貳佰伍拾捌
In other modern scripts
Eastern Arabic ١٢٥٨ Devanagari १२५८ Bengali ১২৫৮ Tamil ௧௨௫௮ Thai ๑๒๕๘ Tibetan ༡༢༥༨ Khmer ១២៥៨ Lao ໑໒໕໘ Burmese ၁၂၅၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,258 = 5
e — Euler's number (e)
Digit 1,258 = 8
φ — Golden ratio (φ)
Digit 1,258 = 1
√2 — Pythagoras's (√2)
Digit 1,258 = 5
ln 2 — Natural log of 2
Digit 1,258 = 2
γ — Euler-Mascheroni (γ)
Digit 1,258 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1258, here are decompositions:

  • 29 + 1229 = 1258
  • 41 + 1217 = 1258
  • 71 + 1187 = 1258
  • 107 + 1151 = 1258
  • 149 + 1109 = 1258
  • 167 + 1091 = 1258
  • 197 + 1061 = 1258
  • 227 + 1031 = 1258

Showing the first eight; more decompositions exist.

Unicode codepoint
Ӫ
Cyrillic Capital Letter Barred O With Diaeresis
U+04EA
Uppercase letter (Lu)

UTF-8 encoding: D3 AA (2 bytes).

Code page identifier

Code page 1258 is Windows-1258 (Vietnamese) — Microsoft Windows encoding for Vietnamese.

Code pages are integer identifiers used by Windows and other systems to refer to specific character encodings.

Hex color
#0004EA
RGB(0, 4, 234)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.234.

Address
0.0.4.234
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.234

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000001258
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 1258 first appears in π at position 3,346 of the decimal expansion (the 3,346ordinal-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.