Number

1,596

1,596 is a composite number, even, a calendar year.

1,596 (one thousand five hundred ninety-six) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 7 × 19. Its proper divisors sum to 2,884, more than the number itself, making it an abundant number. It is the 56th triangular number. Written other ways, in Roman numerals it is MDXCVI and in binary, 11000111100.

Abundant Number Cube-Free Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Triangular Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,584 1,585 1,586 1,587 1,588 1,589 1,590 1,591 1,592 1,593 1,594 1,595 1,596 1,597 1,598 1,599 1,600 1,601 1,602 1,603 1,604 1,605 1,606 1,607 1,608

less more

Notable events — 1596 AD

Jun 30 An Anglo-Dutch fleet sacks Cadiz.
Undated Galileo invents the thermoscope, an early thermometer.
Mar 31 René Descartes is born.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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, 1596
Ended on: Tuesday
December 31, 1596
Friday the 13ths: 2
2 Friday the 13ths this year.
Easter Sunday: April 14
Sunday, April 14, 1596
Decade: 1590s
1590–1599
Century: 16th century
1501–1600
Millennium: 2nd millennium
1001–2000
Years ago: 430
430 years before 2026.

In other calendars

Hebrew: 5356 / 5357 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1004 / 1005 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Monkey
Sexagenary cycle position 33 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2139 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 974 / 975 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1588 / 1589 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1518 / 1517 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 21
Digit product: 270
Digital root: 3
Palindrome: No
Bit width: 11 bits
Reversed: 6,951
Recamán's sequence: a(8,208) = 1,596
Square (n²): 2,547,216
Cube (n³): 4,065,356,736
Divisor count: 24
σ(n) — sum of divisors: 4,480
φ(n) — Euler's totient: 432
Sum of prime factors: 33

Primality

Prime factorization: 2 ² × 3 × 7 × 19

Nearest primes: 1,583 (−13) · 1,597 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 19 · 21 · 28 · 38 · 42 · 57 · 76 · 84 · 114 · 133 · 228 · 266 · 399 · 532 · 798 (half) · 1596

Aliquot sum (sum of proper divisors): 2,884

Factor pairs (a × b = 1,596)

1 × 1596

2 × 798

3 × 532

4 × 399

6 × 266

7 × 228

12 × 133

14 × 114

19 × 84

21 × 76

28 × 57

38 × 42

First multiples

1,596 · 3,192 (double) · 4,788 · 6,384 · 7,980 · 9,576 · 11,172 · 12,768 · 14,364 · 15,960

Sums & aliquot sequence

As consecutive integers: 531 + 532 + 533 225 + 226 + … + 231 196 + 197 + … + 203 75 + 76 + … + 93

Aliquot sequence: 1,596 → 2,884 → 2,940 → 6,636 → 11,284 → 13,804 → 16,436 → 16,492 → 19,348 → 19,404 → 42,840 → 125,640 → 283,860 → 633,420 → 1,562,004 → 2,535,180 → 5,206,260 — unresolved within range

Continued fraction of √n

√1,596 = [39; (1, 18, 1, 78)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one thousand five hundred ninety-six
Ordinal: 1596th
Roman numeral: MDXCVI
Binary: 11000111100
Octal: 3074
Hexadecimal: 0x63C
Base64: Bjw=
One's complement: 63,939 (16-bit)
Scientific notation: 1.596 × 10³
As a duration: 1,596 s = 26 minutes, 36 seconds

In other bases

ternary (3) 2012010

quaternary (4) 120330

quinary (5) 22341

senary (6) 11220

septenary (7) 4440

nonary (9) 2163

undecimal (11) 1221

duodecimal (12) b10

tridecimal (13) 95a

tetradecimal (14) 820

pentadecimal (15) 716

Palindromic in base 11

As an angle

1,596° = 4 × 360° + 156°

156° ≈ 2.723 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αφϟϛʹ
Mayan (base 20): 𝋣·𝋳·𝋰
Chinese: 一千五百九十六
Chinese (financial): 壹仟伍佰玖拾陸

In other modern scripts

Eastern Arabic ١٥٩٦ Devanagari १५९६ Bengali ১৫৯৬ Tamil ௧௫௯௬ Thai ๑๕๙๖ Tibetan ༡༥༩༦ Khmer ១៥៩៦ Lao ໑໕໙໖ Burmese ၁၅၉၆

Digit at this position in famous constants

π — Pi (π): Digit 1,596 = 9
e — Euler's number (e): Digit 1,596 = 4
φ — Golden ratio (φ): Digit 1,596 = 1
√2 — Pythagoras's (√2): Digit 1,596 = 0
ln 2 — Natural log of 2: Digit 1,596 = 1
γ — Euler-Mascheroni (γ): Digit 1,596 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1596, here are decompositions:

13 + 1583 = 1596
17 + 1579 = 1596
29 + 1567 = 1596
37 + 1559 = 1596
43 + 1553 = 1596
47 + 1549 = 1596
53 + 1543 = 1596
73 + 1523 = 1596

Showing the first eight; more decompositions exist.

Unicode codepoint

Arabic Letter Keheh With Three Dots Below

U+063C

Other letter (Lo)

UTF-8 encoding: D8 BC (2 bytes).

Lookup U+063C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00063C

RGB(0, 6, 60)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.60.

Address: 0.0.6.60
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.60

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

Musical pitch

Heard as a frequency, 1,596 Hz is closest to:

Concert pitch (A4 = 440 Hz): G6 (1568 Hz, +31¢)
Scientific pitch (C4 = 256 Hz): G♯6 (1625.5 Hz, -32¢)
Baroque pitch (A4 = 415 Hz): G♯6 (1566.8 Hz, +32¢)

Position in π

The digit sequence 1596 first appears in π at position 9,601 of the decimal expansion (the 9,601ordinal-suffix:st 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 1596 on Pi Search ↗