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Number

621

621 is a composite number, odd, a calendar year.

621 (six hundred twenty-one) is an odd 3-digit number. It is a composite number with 8 divisors, and factors as 3³ × 23. Written other ways, in Roman numerals it is DCXXI and in binary, 1001101101.

Arithmetic Number Deficient Number Descending Digits Evil Number Harshad / Niven Recamán's Sequence Year

Interestingness

4 notable facts · grade D
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Historical context — 621 AD

Calendar year

Year 621 (DCXXI) 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 →

Historical context — 621 BC

Calendar year

The year 621 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
Monday
January 1, 621
Ended on
Monday
December 31, 621
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
620s
620–629
Century
7th century
601–700
Millennium
1st millennium
1–1000
Years ago
1,405
1405 years before 2026.

In other calendars

Hebrew
4381 / 4382 AM
Rosh Hashanah falls in September/October.
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
1164 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
613 / 614 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
543 / 542 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
9
Digit product
12
Digital root
9
Palindrome
No
Bit width
10 bits
Reversed
126
Recamán's sequence
a(8,898) = 621
Square (n²)
385,641
Cube (n³)
239,483,061
Divisor count
8
σ(n) — sum of divisors
960
φ(n) — Euler's totient
396
Sum of prime factors
32

Primality

Prime factorization: 3 3 × 23

Nearest primes: 619 (−2) · 631 (+10)

Divisors & multiples

All divisors (8)
1 · 3 · 9 · 23 · 27 · 69 · 207 · 621
Aliquot sum (sum of proper divisors): 339
Factor pairs (a × b = 621)
1 × 621
3 × 207
9 × 69
23 × 27
First multiples
621 · 1,242 (double) · 1,863 · 2,484 · 3,105 · 3,726 · 4,347 · 4,968 · 5,589 · 6,210

Sums & aliquot sequence

As consecutive integers: 310 + 311 206 + 207 + 208 101 + 102 + 103 + 104 + 105 + 106 65 + 66 + … + 73
Aliquot sequence: 621 339 117 65 19 1 0 — terminates at zero

Continued fraction of √n

√621 = [24; (1, 11, 2, 11, 1, 48)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
six hundred twenty-one
Ordinal
621st
Roman numeral
DCXXI
Binary
1001101101
Octal
1155
Hexadecimal
0x26D
Base64
Am0=
One's complement
64,914 (16-bit)
Scientific notation
6.21 × 10²
As a duration
621 s = 10 minutes, 21 seconds
In other bases
ternary (3) 212000
quaternary (4) 21231
quinary (5) 4441
senary (6) 2513
septenary (7) 1545
nonary (9) 760
undecimal (11) 515
duodecimal (12) 439
tridecimal (13) 38a
tetradecimal (14) 325
pentadecimal (15) 2b6
Palindromic in base 11

As an angle

621° = 1 × 360° + 261°
261° ≈ 4.555 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋 𒌋𒌋𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
χκαʹ
Mayan (base 20)
𝋡·𝋫·𝋡
Chinese
六百二十一
Chinese (financial)
陸佰貳拾壹
In other modern scripts
Eastern Arabic ٦٢١ Devanagari ६२१ Bengali ৬২১ Tamil ௬௨௧ Thai ๖๒๑ Tibetan ༦༢༡ Khmer ៦២១ Lao ໖໒໑ Burmese ၆၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 621 = 2
e — Euler's number (e)
Digit 621 = 9
φ — Golden ratio (φ)
Digit 621 = 4
√2 — Pythagoras's (√2)
Digit 621 = 0
ln 2 — Natural log of 2
Digit 621 = 5
γ — Euler-Mascheroni (γ)
Digit 621 = 2

Also seen as

Unicode codepoint
ɭ
Latin Small Letter L With Retroflex Hook
U+026D
Lowercase letter (Ll)

UTF-8 encoding: C9 AD (2 bytes).

Hex color
#00026D
RGB(0, 2, 109)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.109.

Address
0.0.2.109
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.2.109

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

Musical pitch

Heard as a frequency, 621 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯5 (622.3 Hz, -3¢)
  • Scientific pitch (C4 = 256 Hz): D♯5 (608.9 Hz, +34¢)
  • Baroque pitch (A4 = 415 Hz): E5 (621.8 Hz, -2¢)
Food additive (E-number)

On an ingredients label, E621 is Monosodium glutamate, a flavour enhancer — MSG, the savoury “umami” enhancer.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.