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Number

1,355

1,355 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Evil Number Semiprime Squarefree Year

Historical context — 1355 AD

Calendar year

Year 1355 (MCCCLV) was a common year starting on Thursday 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
Wednesday
January 1, 1355
Ended on
Wednesday
December 31, 1355
Friday the 13ths
1
One Friday the 13th this year.
Decade
1350s
1350–1359
Century
14th century
1301–1400
Millennium
2nd millennium
1001–2000
Years ago
671
671 years before 2026.

In other calendars

Hebrew
5115 / 5116 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
755 / 756 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Goat
Sexagenary cycle position 32 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1898 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
733 / 734 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1347 / 1348 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1277 / 1276 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
14
Digit product
75
Digital root
5
Palindrome
No
Bit width
11 bits
Reversed
5,531
Square (n²)
1,836,025
Cube (n³)
2,487,813,875
Divisor count
4
σ(n) — sum of divisors
1,632
φ(n) — Euler's totient
1,080
Sum of prime factors
276

Primality

Prime factorization: 5 × 271

Nearest primes: 1,327 (−28) · 1,361 (+6)

Divisors & multiples

All divisors (4)
1 · 5 · 271 · 1355
Aliquot sum (sum of proper divisors): 277
Factor pairs (a × b = 1,355)
1 × 1355
5 × 271
First multiples
1,355 · 2,710 (double) · 4,065 · 5,420 · 6,775 · 8,130 · 9,485 · 10,840 · 12,195 · 13,550

Sums & aliquot sequence

As consecutive integers: 677 + 678 269 + 270 + 271 + 272 + 273 131 + 132 + … + 140
Aliquot sequence: 1,355 277 1 0 — terminates at zero

Representations

In words
one thousand three hundred fifty-five
Ordinal
1355th
Roman numeral
MCCCLV
Binary
10101001011
Octal
2513
Hexadecimal
0x54B
Base64
BUs=
One's complement
64,180 (16-bit)
In other bases
ternary (3) 1212012
quaternary (4) 111023
quinary (5) 20410
senary (6) 10135
septenary (7) 3644
nonary (9) 1765
undecimal (11) 1022
duodecimal (12) 94b
tridecimal (13) 803
tetradecimal (14) 6cb
pentadecimal (15) 605

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ατνεʹ
Mayan (base 20)
𝋣·𝋧·𝋯
Chinese
一千三百五十五
Chinese (financial)
壹仟參佰伍拾伍
In other modern scripts
Eastern Arabic ١٣٥٥ Devanagari १३५५ Bengali ১৩৫৫ Tamil ௧௩௫௫ Thai ๑๓๕๕ Tibetan ༡༣༥༥ Khmer ១៣៥៥ Lao ໑໓໕໕ Burmese ၁၃၅၅

Digit at this position in famous constants

π — Pi (π)
Digit 1,355 = 3
e — Euler's number (e)
Digit 1,355 = 3
φ — Golden ratio (φ)
Digit 1,355 = 0
√2 — Pythagoras's (√2)
Digit 1,355 = 6
ln 2 — Natural log of 2
Digit 1,355 = 0
γ — Euler-Mascheroni (γ)
Digit 1,355 = 3

Also seen as

Unicode codepoint
Ջ
Armenian Capital Letter Jheh
U+054B
Uppercase letter (Lu)

UTF-8 encoding: D5 8B (2 bytes).

Hex color
#00054B
RGB(0, 5, 75)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.75.

Address
0.0.5.75
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.75

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
000001355
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 1355 first appears in π at position 33,188 of the decimal expansion (the 33,188ordinal-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.