Number

606

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

606 (six hundred six) is an even 3-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 101. Its proper divisors sum to 618, more than the number itself, making it an abundant number. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in Roman numerals it is DCVI and in binary, 1001011110.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Palindrome Recamán's Sequence Semiperfect Number Sphenic Number Squarefree Undulating Number Year

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618

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Historical context — 606 AD

Calendar year

Year 606 (DCVI) was a common year starting on Saturday of the Julian calendar.

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

Historical context — 606 BC

Calendar year

The year 606 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: Wednesday
January 1, 606
Ended on: Wednesday
December 31, 606
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 600s
600–609
Century: 7th century
601–700
Millennium: 1st millennium
1–1000
Years ago: 1,420
1420 years before 2026.

In other calendars

Hebrew: 4366 / 4367 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Fire zodiac:Tiger
Sexagenary cycle position 3 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1149 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 598 / 599 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 528 / 527 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: Yes
Bit width: 10 bits
Flips to (rotate 180°): 909
Recamán's sequence: a(1,047) = 606
Square (n²): 367,236
Cube (n³): 222,545,016
Divisor count: 8
σ(n) — sum of divisors: 1,224
φ(n) — Euler's totient: 200
Sum of prime factors: 106

Primality

Prime factorization: 2 × 3 × 101

Nearest primes: 601 (−5) · 607 (+1)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 101 · 202 · 303 (half) · 606

Aliquot sum (sum of proper divisors): 618

Factor pairs (a × b = 606)

1 × 606

2 × 303

3 × 202

6 × 101

First multiples

606 · 1,212 (double) · 1,818 · 2,424 · 3,030 · 3,636 · 4,242 · 4,848 · 5,454 · 6,060

Sums & aliquot sequence

As consecutive integers: 201 + 202 + 203 150 + 151 + 152 + 153 45 + 46 + … + 56

Aliquot sequence: 606 → 618 → 630 → 1,242 → 1,638 → 2,730 → 5,334 → 6,954 → 7,926 → 7,938 → 12,753 → 7,267 → 785 → 163 → 1 → 0 — terminates at zero

Continued fraction of √n

√606 = [24; (1, 1, 1, 1, 1, 1, 2, 1, 9, 8, 9, 1, 2, 1, 1, 1, 1, 1, 1, 48)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: six hundred six
Ordinal: 606th
Roman numeral: DCVI
Binary: 1001011110
Octal: 1136
Hexadecimal: 0x25E
Base64: Al4=
One's complement: 64,929 (16-bit)
Scientific notation: 6.06 × 10²
As a duration: 606 s = 10 minutes, 6 seconds

In other bases

ternary (3) 211110

quaternary (4) 21132

quinary (5) 4411

senary (6) 2450

septenary (7) 1524

nonary (9) 743

undecimal (11) 501

duodecimal (12) 426

tridecimal (13) 378

tetradecimal (14) 314

pentadecimal (15) 2a6

As an angle

606° = 1 × 360° + 246°

246° ≈ 4.294 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): χϛʹ
Mayan (base 20): 𝋡·𝋪·𝋦
Chinese: 六百零六
Chinese (financial): 陸佰零陸

In other modern scripts

Eastern Arabic ٦٠٦ Devanagari ६०६ Bengali ৬০৬ Tamil ௬௦௬ Thai ๖๐๖ Tibetan ༦༠༦ Khmer ៦០៦ Lao ໖໐໖ Burmese ၆၀၆

Digit at this position in famous constants

π — Pi (π): Digit 606 = 6
e — Euler's number (e): Digit 606 = 3
φ — Golden ratio (φ): Digit 606 = 2
√2 — Pythagoras's (√2): Digit 606 = 4
ln 2 — Natural log of 2: Digit 606 = 0
γ — Euler-Mascheroni (γ): Digit 606 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 606, here are decompositions:

5 + 601 = 606
7 + 599 = 606
13 + 593 = 606
19 + 587 = 606
29 + 577 = 606
37 + 569 = 606
43 + 563 = 606
59 + 547 = 606

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Small Letter Closed Reversed Open E

U+025E

Lowercase letter (Ll)

UTF-8 encoding: C9 9E (2 bytes).

Lookup U+025E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00025E

RGB(0, 2, 94)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.94.

Address: 0.0.2.94
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.94

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

NANP area code 606

The number 606 is an active NANP area code (North American Numbering Plan).

Primary area: Eastern Kentucky
Region: Kentucky
Country: United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Look up area code 606 ↗

Musical pitch

Heard as a frequency, 606 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯5 (622.3 Hz, -46¢ — about midway to D5)
Scientific pitch (C4 = 256 Hz): D♯5 (608.9 Hz, -8¢)
Baroque pitch (A4 = 415 Hz): E5 (621.8 Hz, -45¢ — about midway to D♯5)