Number

1,602

1,602 is a composite number, even, a calendar year.

1,602 (one thousand six hundred two) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 89. Its proper divisors sum to 1,908, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDCII and in binary, 11001000010.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

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 1,609 1,610 1,611 1,612 1,613 1,614

less more

Notable events — 1602 AD

Mar 20 The Dutch East India Company is founded.
Sep 7 France crushes a Huguenot conspiracy.
Undated Shakespeare's Hamlet is first performed.

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

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: Tuesday
January 1, 1602
Ended on: Tuesday
December 31, 1602
Friday the 13ths: 2
2 Friday the 13ths this year.
Easter Sunday: April 7
Sunday, April 7, 1602
Decade: 1600s
1600–1609
Century: 17th century
1601–1700
Millennium: 2nd millennium
1001–2000
Years ago: 424
424 years before 2026.

In other calendars

Hebrew: 5362 / 5363 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1010 / 1011 AH
Lunar calendar; year spans differ from Gregorian.
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: 2145 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 980 / 981 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1594 / 1595 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1524 / 1523 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 11 bits
Reversed: 2,061
Recamán's sequence: a(1,340) = 1,602
Square (n²): 2,566,404
Cube (n³): 4,111,379,208
Divisor count: 12
σ(n) — sum of divisors: 3,510
φ(n) — Euler's totient: 528
Sum of prime factors: 97

Primality

Prime factorization: 2 × 3 ² × 89

Nearest primes: 1,601 (−1) · 1,607 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 9 · 18 · 89 · 178 · 267 · 534 · 801 (half) · 1602

Aliquot sum (sum of proper divisors): 1,908

Factor pairs (a × b = 1,602)

1 × 1602

2 × 801

3 × 534

6 × 267

9 × 178

18 × 89

First multiples

1,602 · 3,204 (double) · 4,806 · 6,408 · 8,010 · 9,612 · 11,214 · 12,816 · 14,418 · 16,020

Sums & aliquot sequence

As a sum of two squares: 9² + 39²

As consecutive integers: 533 + 534 + 535 399 + 400 + 401 + 402 174 + 175 + … + 182 128 + 129 + … + 139

Aliquot sequence: 1,602 → 1,908 → 3,006 → 3,546 → 4,176 → 7,914 → 7,926 → 7,938 → 12,753 → 7,267 → 785 → 163 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,602 = [40; (40, 80)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one thousand six hundred two
Ordinal: 1602nd
Roman numeral: MDCII
Binary: 11001000010
Octal: 3102
Hexadecimal: 0x642
Base64: BkI=
One's complement: 63,933 (16-bit)
Scientific notation: 1.602 × 10³
As a duration: 1,602 s = 26 minutes, 42 seconds

In other bases

ternary (3) 2012100

quaternary (4) 121002

quinary (5) 22402

senary (6) 11230

septenary (7) 4446

nonary (9) 2170

undecimal (11) 1227

duodecimal (12) b16

tridecimal (13) 963

tetradecimal (14) 826

pentadecimal (15) 71c

As an angle

1,602° = 4 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺
Greek (Milesian): ͵αχβʹ
Mayan (base 20): 𝋤·𝋠·𝋢
Chinese: 一千六百零二
Chinese (financial): 壹仟陸佰零貳

In other modern scripts

Eastern Arabic ١٦٠٢ Devanagari १६०२ Bengali ১৬০২ Tamil ௧௬௦௨ Thai ๑๖๐๒ Tibetan ༡༦༠༢ Khmer ១៦០២ Lao ໑໖໐໒ Burmese ၁၆၀၂

Digit at this position in famous constants

π — Pi (π): Digit 1,602 = 8
e — Euler's number (e): Digit 1,602 = 8
φ — Golden ratio (φ): Digit 1,602 = 5
√2 — Pythagoras's (√2): Digit 1,602 = 3
ln 2 — Natural log of 2: Digit 1,602 = 2
γ — Euler-Mascheroni (γ): Digit 1,602 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1602, here are decompositions:

5 + 1597 = 1602
19 + 1583 = 1602
23 + 1579 = 1602
31 + 1571 = 1602
43 + 1559 = 1602
53 + 1549 = 1602
59 + 1543 = 1602
71 + 1531 = 1602

Showing the first eight; more decompositions exist.

Unicode codepoint

Arabic Letter Qaf

U+0642

Other letter (Lo)

UTF-8 encoding: D9 82 (2 bytes).

Lookup U+0642 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000642

RGB(0, 6, 66)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.66.

Address: 0.0.6.66
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.66

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

Musical pitch

Heard as a frequency, 1,602 Hz is closest to:

Concert pitch (A4 = 440 Hz): G6 (1568 Hz, +37¢)
Scientific pitch (C4 = 256 Hz): G♯6 (1625.5 Hz, -25¢)
Baroque pitch (A4 = 415 Hz): G♯6 (1566.8 Hz, +38¢)

Position in π

The digit sequence 1602 first appears in π at position 6,363 of the decimal expansion (the 6,363ordinal-suffix:rd 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 1602 on Pi Search ↗