Number

1,461

1,461 is a composite number, odd, a calendar year.

1,461 (one thousand four hundred sixty-one) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 3 × 487. Written other ways, in Roman numerals it is MCDLXI and in binary, 10110110101.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,449 1,450 1,451 1,452 1,453 1,454 1,455 1,456 1,457 1,458 1,459 1,460 1,461 1,462 1,463 1,464 1,465 1,466 1,467 1,468 1,469 1,470 1,471 1,472 1,473

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Historical context — 1461 AD

Calendar year

Year 1461 (MCDLXI) was a common year starting on Thursday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 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: Tuesday
January 1, 1461
Ended on: Tuesday
December 31, 1461
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1460s
1460–1469
Century: 15th century
1401–1500
Millennium: 2nd millennium
1001–2000
Years ago: 565
565 years before 2026.

In other calendars

Hebrew: 5221 / 5222 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 865 / 866 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Snake
Sexagenary cycle position 18 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2004 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 839 / 840 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1453 / 1454 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1383 / 1382 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 4
Digit sum: 12
Digit product: 24
Digital root: 3
Palindrome: No
Bit width: 11 bits
Reversed: 1,641
Recamán's sequence: a(1,638) = 1,461
Square (n²): 2,134,521
Cube (n³): 3,118,535,181
Divisor count: 4
σ(n) — sum of divisors: 1,952
φ(n) — Euler's totient: 972
Sum of prime factors: 490

Primality

Prime factorization: 3 × 487

Nearest primes: 1,459 (−2) · 1,471 (+10)

Divisors & multiples

All divisors (4)

1 · 3 · 487 · 1461

Aliquot sum (sum of proper divisors): 491

Factor pairs (a × b = 1,461)

1 × 1461

3 × 487

First multiples

1,461 · 2,922 (double) · 4,383 · 5,844 · 7,305 · 8,766 · 10,227 · 11,688 · 13,149 · 14,610

Sums & aliquot sequence

As consecutive integers: 730 + 731 486 + 487 + 488 241 + 242 + 243 + 244 + 245 + 246

Aliquot sequence: 1,461 → 491 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,461 = [38; (4, 2, 14, 1, 5, 2, 3, 2, 1, 3, 3, 18, 1, 4, 6, 1, 2, 1, 24, 1, 2, 1, 6, 4, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words: one thousand four hundred sixty-one
Ordinal: 1461st
Roman numeral: MCDLXI
Binary: 10110110101
Octal: 2665
Hexadecimal: 0x5B5
Base64: BbU=
One's complement: 64,074 (16-bit)
Scientific notation: 1.461 × 10³
As a duration: 1,461 s = 24 minutes, 21 seconds

In other bases

ternary (3) 2000010

quaternary (4) 112311

quinary (5) 21321

senary (6) 10433

septenary (7) 4155

nonary (9) 2003

undecimal (11) 1109

duodecimal (12) a19

tridecimal (13) 885

tetradecimal (14) 765

pentadecimal (15) 676

Palindromic in base 15, base 16

As an angle

1,461° = 4 × 360° + 21°

21° ≈ 0.367 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵αυξαʹ
Mayan (base 20): 𝋣·𝋭·𝋡
Chinese: 一千四百六十一
Chinese (financial): 壹仟肆佰陸拾壹

In other modern scripts

Eastern Arabic ١٤٦١ Devanagari १४६१ Bengali ১৪৬১ Tamil ௧௪௬௧ Thai ๑๔๖๑ Tibetan ༡༤༦༡ Khmer ១៤៦១ Lao ໑໔໖໑ Burmese ၁၄၆၁

Digit at this position in famous constants

π — Pi (π): Digit 1,461 = 3
e — Euler's number (e): Digit 1,461 = 9
φ — Golden ratio (φ): Digit 1,461 = 2
√2 — Pythagoras's (√2): Digit 1,461 = 8
ln 2 — Natural log of 2: Digit 1,461 = 9
γ — Euler-Mascheroni (γ): Digit 1,461 = 9

Also seen as

Unicode codepoint

Hebrew Point Tsere

U+05B5

Non-spacing mark (Mn)

UTF-8 encoding: D6 B5 (2 bytes).

Lookup U+05B5 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0005B5

RGB(0, 5, 181)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.181.

Address: 0.0.5.181
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.181

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

Musical pitch

Heard as a frequency, 1,461 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯6 (1480 Hz, -22¢)
Scientific pitch (C4 = 256 Hz): F♯6 (1448.2 Hz, +15¢)
Baroque pitch (A4 = 415 Hz): G6 (1478.9 Hz, -21¢)

Position in π

The digit sequence 1461 first appears in π at position 12,259 of the decimal expansion (the 12,259ordinal-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 1461 on Pi Search ↗