Number

1,357

1,357 is a composite number, odd, a calendar year.

Arithmetic Number Ascending Digits Deficient Number Evil Number Recamán's Sequence Self Number Semiprime Squarefree Stepped Digits Year

Historical context — 1357 AD

Calendar year

Year 1357 (MCCCLVII) was a common year starting on Sunday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

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, 1357
Ended on: Saturday
December 31, 1357
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: 669
669 years before 2026.

In other calendars

Hebrew: 5117 / 5118 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 758 / 759 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: 1900 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 735 / 736 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1349 / 1350 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1279 / 1278 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 4
Digit sum: 16
Digit product: 105
Digital root: 7
Palindrome: No
Bit width: 11 bits
Reversed: 7,531
Recamán's sequence: a(462) = 1,357
Square (n²): 1,841,449
Cube (n³): 2,498,846,293
Divisor count: 4
σ(n) — sum of divisors: 1,440
φ(n) — Euler's totient: 1,276
Sum of prime factors: 82

Primality

Prime factorization: 23 × 59

Nearest primes: 1,327 (−30) · 1,361 (+4)

Divisors & multiples

All divisors (4)

1 · 23 · 59 · 1357

Aliquot sum (sum of proper divisors): 83

Factor pairs (a × b = 1,357)

1 × 1357

23 × 59

First multiples

1,357 · 2,714 (double) · 4,071 · 5,428 · 6,785 · 8,142 · 9,499 · 10,856 · 12,213 · 13,570

Sums & aliquot sequence

As consecutive integers: 678 + 679 48 + 49 + … + 70 7 + 8 + … + 52

Aliquot sequence: 1,357 → 83 → 1 → 0 — terminates at zero

Representations

In words: one thousand three hundred fifty-seven
Ordinal: 1357th
Roman numeral: MCCCLVII
Binary: 10101001101
Octal: 2515
Hexadecimal: 0x54D
Base64: BU0=
One's complement: 64,178 (16-bit)

In other bases

ternary (3) 1212021

quaternary (4) 111031

quinary (5) 20412

senary (6) 10141

septenary (7) 3646

nonary (9) 1767

undecimal (11) 1024

duodecimal (12) 951

tridecimal (13) 805

tetradecimal (14) 6cd

pentadecimal (15) 607

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ατνζʹ
Mayan (base 20): 𝋣·𝋧·𝋱
Chinese: 一千三百五十七
Chinese (financial): 壹仟參佰伍拾柒

In other modern scripts

Eastern Arabic ١٣٥٧ Devanagari १३५७ Bengali ১৩৫৭ Tamil ௧௩௫௭ Thai ๑๓๕๗ Tibetan ༡༣༥༧ Khmer ១៣៥៧ Lao ໑໓໕໗ Burmese ၁၃၅၇

Digit at this position in famous constants

π — Pi (π): Digit 1,357 = 2
e — Euler's number (e): Digit 1,357 = 6
φ — Golden ratio (φ): Digit 1,357 = 7
√2 — Pythagoras's (√2): Digit 1,357 = 5
ln 2 — Natural log of 2: Digit 1,357 = 5
γ — Euler-Mascheroni (γ): Digit 1,357 = 1

Also seen as

Unicode codepoint

Armenian Capital Letter Seh

U+054D

Uppercase letter (Lu)

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

Lookup U+054D on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00054D

RGB(0, 5, 77)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.77.

Address: 0.0.5.77
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.77

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

Position in π

The digit sequence 1357 first appears in π at position 4,425 of the decimal expansion (the 4,425ordinal-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.

Look up 1357 on Pi Search ↗