Number

616

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

Abundant Number Arithmetic Number Evil Number Flippable Heptagonal Padovan Number Palindrome Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 616 AD

Calendar year

Year 616 (DCXVI) was a leap year starting on Thursday of the Julian calendar.

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Historical context — 616 BC

Calendar year

The year 616 BC was a year of the pre-Julian Roman calendar.

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

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Monday
January 1, 616
Ended on: Tuesday
December 31, 616
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 610s
610–619
Century: 7th century
601–700
Millennium: 1st millennium
1–1000
Years ago: 1,410
1410 years before 2026.

In other calendars

Hebrew: 4376 / 4377 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Fire zodiac:Rat
Sexagenary cycle position 13 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1159 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 608 / 609 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 538 / 537 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 13
Digit product: 36
Digital root: 4
Palindrome: Yes
Bit width: 10 bits
Flips to (rotate 180°): 919
Recamán's sequence: a(8,908) = 616
Square (n²): 379,456
Cube (n³): 233,744,896
Divisor count: 16
σ(n) — sum of divisors: 1,440
φ(n) — Euler's totient: 240
Sum of prime factors: 24

Primality

Prime factorization: 2 ³ × 7 × 11

Nearest primes: 613 (−3) · 617 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 7 · 8 · 11 · 14 · 22 · 28 · 44 · 56 · 77 · 88 · 154 · 308 (half) · 616

Aliquot sum (sum of proper divisors): 824

Factor pairs (a × b = 616)

1 × 616

2 × 308

4 × 154

7 × 88

8 × 77

11 × 56

14 × 44

22 × 28

First multiples

616 · 1,232 (double) · 1,848 · 2,464 · 3,080 · 3,696 · 4,312 · 4,928 · 5,544 · 6,160

Sums & aliquot sequence

As consecutive integers: 85 + 86 + … + 91 51 + 52 + … + 61 31 + 32 + … + 46

Aliquot sequence: 616 → 824 → 736 → 776 → 694 → 350 → 394 → 200 → 265 → 59 → 1 → 0 — terminates at zero

Representations

In words: six hundred sixteen
Ordinal: 616th
Roman numeral: DCXVI
Binary: 1001101000
Octal: 1150
Hexadecimal: 0x268
Base64: Amg=
One's complement: 64,919 (16-bit)

In other bases

ternary (3) 211211

quaternary (4) 21220

quinary (5) 4431

senary (6) 2504

septenary (7) 1540

nonary (9) 754

undecimal (11) 510

duodecimal (12) 434

tridecimal (13) 385

tetradecimal (14) 320

pentadecimal (15) 2b1

Historical numeral systems

Babylonian (base 60): 𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): χιϛʹ
Mayan (base 20): 𝋡·𝋪·𝋰
Chinese: 六百一十六
Chinese (financial): 陸佰壹拾陸

In other modern scripts

Eastern Arabic ٦١٦ Devanagari ६१६ Bengali ৬১৬ Tamil ௬௧௬ Thai ๖๑๖ Tibetan ༦༡༦ Khmer ៦១៦ Lao ໖໑໖ Burmese ၆၁၆

Digit at this position in famous constants

π — Pi (π): Digit 616 = 3
e — Euler's number (e): Digit 616 = 6
φ — Golden ratio (φ): Digit 616 = 3
√2 — Pythagoras's (√2): Digit 616 = 2
ln 2 — Natural log of 2: Digit 616 = 7
γ — Euler-Mascheroni (γ): Digit 616 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 616, here are decompositions:

3 + 613 = 616
17 + 599 = 616
23 + 593 = 616
29 + 587 = 616
47 + 569 = 616
53 + 563 = 616
59 + 557 = 616
107 + 509 = 616

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Small Letter I With Stroke

U+0268

Lowercase letter (Ll)

UTF-8 encoding: C9 A8 (2 bytes).

Lookup U+0268 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000268

RGB(0, 2, 104)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.104.

Address: 0.0.2.104
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.104

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

NANP area code 616

The number 616 is an active NANP area code (North American Numbering Plan).

Primary area: Grand Rapids
Region: Michigan
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 616 ↗