Number

462

462 is a composite number, even, a calendar year.

462 (four hundred sixty-two) is an even 3-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 7 × 11. Its proper divisors sum to 690, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CDLXII and in binary, 111001110.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Pronic / Oblong Recamán's Sequence Semiperfect Number Squarefree Year

Interestingness

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8 notable facts · grade A

450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474

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Historical context — 462 AD

Calendar year

Year 462 (CDLXII) was a common year starting on Monday of the Julian calendar.

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

Historical context — 462 BC

Calendar year

Year 462 BC was a year of the pre-Julian Roman 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: Sunday
January 1, 462
Ended on: Sunday
December 31, 462
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 460s
460–469
Century: 5th century
401–500
Millennium: 1st millennium
1–1000
Years ago: 1,564
1564 years before 2026.

In other calendars

Hebrew: 4222 / 4223 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Water zodiac:Tiger
Sexagenary cycle position 39 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1005 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 454 / 455 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 384 / 383 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 12
Digit product: 48
Digital root: 3
Palindrome: No
Bit width: 9 bits
Reversed: 264
Recamán's sequence: a(444) = 462
Square (n²): 213,444
Cube (n³): 98,611,128
Divisor count: 16
σ(n) — sum of divisors: 1,152
φ(n) — Euler's totient: 120
Sum of prime factors: 23

Primality

Prime factorization: 2 × 3 × 7 × 11

Nearest primes: 461 (−1) · 463 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 7 · 11 · 14 · 21 · 22 · 33 · 42 · 66 · 77 · 154 · 231 (half) · 462

Aliquot sum (sum of proper divisors): 690

Factor pairs (a × b = 462)

1 × 462

2 × 231

3 × 154

6 × 77

7 × 66

11 × 42

14 × 33

21 × 22

First multiples

462 · 924 (double) · 1,386 · 1,848 · 2,310 · 2,772 · 3,234 · 3,696 · 4,158 · 4,620

Sums & aliquot sequence

As consecutive integers: 153 + 154 + 155 114 + 115 + 116 + 117 63 + 64 + … + 69 37 + 38 + … + 47

Aliquot sequence: 462 → 690 → 1,038 → 1,050 → 1,926 → 2,286 → 2,706 → 3,342 → 3,354 → 4,038 → 4,050 → 7,203 → 4,001 → 1 → 0 — terminates at zero

Continued fraction of √n

√462 = [21; (2, 42)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: four hundred sixty-two
Ordinal: 462nd
Roman numeral: CDLXII
Binary: 111001110
Octal: 716
Hexadecimal: 0x1CE
Base64: Ac4=
One's complement: 65,073 (16-bit)
Scientific notation: 4.62 × 10²
As a duration: 462 s = 7 minutes, 42 seconds

In other bases

ternary (3) 122010

quaternary (4) 13032

quinary (5) 3322

senary (6) 2050

septenary (7) 1230

nonary (9) 563

undecimal (11) 390

duodecimal (12) 326

tridecimal (13) 297

tetradecimal (14) 250

pentadecimal (15) 20c

As an angle

462° = 1 × 360° + 102°

102° ≈ 1.78 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): υξβʹ
Mayan (base 20): 𝋡·𝋣·𝋢
Chinese: 四百六十二
Chinese (financial): 肆佰陸拾貳

In other modern scripts

Eastern Arabic ٤٦٢ Devanagari ४६२ Bengali ৪৬২ Tamil ௪௬௨ Thai ๔๖๒ Tibetan ༤༦༢ Khmer ៤៦២ Lao ໔໖໒ Burmese ၄၆၂

Digit at this position in famous constants

π — Pi (π): Digit 462 = 6
e — Euler's number (e): Digit 462 = 6
φ — Golden ratio (φ): Digit 462 = 1
√2 — Pythagoras's (√2): Digit 462 = 8
ln 2 — Natural log of 2: Digit 462 = 5
γ — Euler-Mascheroni (γ): Digit 462 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 462, here are decompositions:

5 + 457 = 462
13 + 449 = 462
19 + 443 = 462
23 + 439 = 462
29 + 433 = 462
31 + 431 = 462
41 + 421 = 462
43 + 419 = 462

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Small Letter A With Caron

U+01CE

Lowercase letter (Ll)

UTF-8 encoding: C7 8E (2 bytes).

Lookup U+01CE on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0001CE

RGB(0, 1, 206)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.206.

Address: 0.0.1.206
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.206

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

Musical pitch

Heard as a frequency, 462 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯4 (466.2 Hz, -16¢)
Scientific pitch (C4 = 256 Hz): A♯4 (456.1 Hz, +22¢)
Baroque pitch (A4 = 415 Hz): B4 (465.8 Hz, -14¢)