Number

1,242

1,242 is a composite number, even, a calendar year.

1,242 (one thousand two hundred forty-two) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2 × 3³ × 23. Its proper divisors sum to 1,638, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCXLII and in binary, 10011011010.

Abundant Number Arithmetic Number Decagonal Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,230 1,231 1,232 1,233 1,234 1,235 1,236 1,237 1,238 1,239 1,240 1,241 1,242 1,243 1,244 1,245 1,246 1,247 1,248 1,249 1,250 1,251 1,252 1,253 1,254

less more

Historical context — 1242 AD

Calendar year

Year 1242 (MCCXLII) was a common year starting on Wednesday of the Julian 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, 1242
Ended on: Wednesday
December 31, 1242
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1240s
1240–1249
Century: 13th century
1201–1300
Millennium: 2nd millennium
1001–2000
Years ago: 784
784 years before 2026.

In other calendars

Hebrew: 5002 / 5003 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 639 / 640 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: 1785 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 620 / 621 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1234 / 1235 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1164 / 1163 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 9
Digit product: 16
Digital root: 9
Palindrome: No
Bit width: 11 bits
Reversed: 2,421
Recamán's sequence: a(8,504) = 1,242
Square (n²): 1,542,564
Cube (n³): 1,915,864,488
Divisor count: 16
σ(n) — sum of divisors: 2,880
φ(n) — Euler's totient: 396
Sum of prime factors: 34

Primality

Prime factorization: 2 × 3 ³ × 23

Nearest primes: 1,237 (−5) · 1,249 (+7)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 9 · 18 · 23 · 27 · 46 · 54 · 69 · 138 · 207 · 414 · 621 (half) · 1242

Aliquot sum (sum of proper divisors): 1,638

Factor pairs (a × b = 1,242)

1 × 1242

2 × 621

3 × 414

6 × 207

9 × 138

18 × 69

23 × 54

27 × 46

First multiples

1,242 · 2,484 (double) · 3,726 · 4,968 · 6,210 · 7,452 · 8,694 · 9,936 · 11,178 · 12,420

Sums & aliquot sequence

As consecutive integers: 413 + 414 + 415 309 + 310 + 311 + 312 134 + 135 + … + 142 98 + 99 + … + 109

Aliquot sequence: 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

√1,242 = [35; (4, 7, 1, 1, 2, 1, 1, 7, 4, 70)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: one thousand two hundred forty-two
Ordinal: 1242nd
Roman numeral: MCCXLII
Binary: 10011011010
Octal: 2332
Hexadecimal: 0x4DA
Base64: BNo=
One's complement: 64,293 (16-bit)
Scientific notation: 1.242 × 10³
As a duration: 1,242 s = 20 minutes, 42 seconds

In other bases

ternary (3) 1201000

quaternary (4) 103122

quinary (5) 14432

senary (6) 5430

septenary (7) 3423

nonary (9) 1630

undecimal (11) a2a

duodecimal (12) 876

tridecimal (13) 747

tetradecimal (14) 64a

pentadecimal (15) 57c

Palindromic in base 8, base 11, base 13

As an angle

1,242° = 3 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ασμβʹ
Mayan (base 20): 𝋣·𝋢·𝋢
Chinese: 一千二百四十二
Chinese (financial): 壹仟貳佰肆拾貳

In other modern scripts

Eastern Arabic ١٢٤٢ Devanagari १२४२ Bengali ১২৪২ Tamil ௧௨௪௨ Thai ๑๒๔๒ Tibetan ༡༢༤༢ Khmer ១២៤២ Lao ໑໒໔໒ Burmese ၁၂၄၂

Digit at this position in famous constants

π — Pi (π): Digit 1,242 = 4
e — Euler's number (e): Digit 1,242 = 8
φ — Golden ratio (φ): Digit 1,242 = 2
√2 — Pythagoras's (√2): Digit 1,242 = 3
ln 2 — Natural log of 2: Digit 1,242 = 1
γ — Euler-Mascheroni (γ): Digit 1,242 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1242, here are decompositions:

5 + 1237 = 1242
11 + 1231 = 1242
13 + 1229 = 1242
19 + 1223 = 1242
29 + 1213 = 1242
41 + 1201 = 1242
61 + 1181 = 1242
71 + 1171 = 1242

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter Schwa With Diaeresis

U+04DA

Uppercase letter (Lu)

UTF-8 encoding: D3 9A (2 bytes).

Lookup U+04DA on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0004DA

RGB(0, 4, 218)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.218.

Address: 0.0.4.218
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.218

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

Musical pitch

Heard as a frequency, 1,242 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯6 (1244.5 Hz, -3¢)
Scientific pitch (C4 = 256 Hz): D♯6 (1217.7 Hz, +34¢)
Baroque pitch (A4 = 415 Hz): E6 (1243.6 Hz, -2¢)

Position in π

The digit sequence 1242 first appears in π at position 9,481 of the decimal expansion (the 9,481ordinal-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 1242 on Pi Search ↗