Number

1,542

1,542 is a composite number, even, a calendar year.

1,542 (one thousand five hundred forty-two) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 257. Its proper divisors sum to 1,554, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDXLII and in binary, 11000000110.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,530 1,531 1,532 1,533 1,534 1,535 1,536 1,537 1,538 1,539 1,540 1,541 1,542 1,543 1,544 1,545 1,546 1,547 1,548 1,549 1,550 1,551 1,552 1,553 1,554

less more

Notable events — 1542 AD

Jul 21 Pope Paul III establishes the Roman Inquisition.
Sep 28 Cabrillo enters San Diego Bay, the first European in California.
Dec 8 Mary Queen of Scots is born; her father James V dies six days later.

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: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 1542
Ended on: Thursday
December 31, 1542
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 1540s
1540–1549
Century: 16th century
1501–1600
Millennium: 2nd millennium
1001–2000
Years ago: 484
484 years before 2026.

In other calendars

Hebrew: 5302 / 5303 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 948 / 949 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: 2085 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 920 / 921 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1534 / 1535 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1464 / 1463 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 12
Digit product: 40
Digital root: 3
Palindrome: No
Bit width: 11 bits
Reversed: 2,451
Recamán's sequence: a(1,476) = 1,542
Square (n²): 2,377,764
Cube (n³): 3,666,512,088
Divisor count: 8
σ(n) — sum of divisors: 3,096
φ(n) — Euler's totient: 512
Sum of prime factors: 262

Primality

Prime factorization: 2 × 3 × 257

Nearest primes: 1,531 (−11) · 1,543 (+1)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 257 · 514 · 771 (half) · 1542

Aliquot sum (sum of proper divisors): 1,554

Factor pairs (a × b = 1,542)

1 × 1542

2 × 771

3 × 514

6 × 257

First multiples

1,542 · 3,084 (double) · 4,626 · 6,168 · 7,710 · 9,252 · 10,794 · 12,336 · 13,878 · 15,420

Sums & aliquot sequence

As consecutive integers: 513 + 514 + 515 384 + 385 + 386 + 387 123 + 124 + … + 134

Aliquot sequence: 1,542 → 1,554 → 2,094 → 2,106 → 2,976 → 5,088 → 8,520 → 17,400 → 38,400 → 88,452 → 196,924 → 228,004 → 255,836 → 255,892 → 339,948 → 708,372 → 1,392,748 — unresolved within range

Continued fraction of √n

√1,542 = [39; (3, 1, 2, 1, 1, 1, 38, 1, 1, 1, 2, 1, 3, 78)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one thousand five hundred forty-two
Ordinal: 1542nd
Roman numeral: MDXLII
Binary: 11000000110
Octal: 3006
Hexadecimal: 0x606
Base64: BgY=
One's complement: 63,993 (16-bit)
Scientific notation: 1.542 × 10³
As a duration: 1,542 s = 25 minutes, 42 seconds

In other bases

ternary (3) 2010010

quaternary (4) 120012

quinary (5) 22132

senary (6) 11050

septenary (7) 4332

nonary (9) 2103

undecimal (11) 1182

duodecimal (12) a86

tridecimal (13) 918

tetradecimal (14) 7c2

pentadecimal (15) 6cc

Palindromic in base 16

As an angle

1,542° = 4 × 360° + 102°

102° ≈ 1.78 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵αφμβʹ
Mayan (base 20): 𝋣·𝋱·𝋢
Chinese: 一千五百四十二
Chinese (financial): 壹仟伍佰肆拾貳

In other modern scripts

Eastern Arabic ١٥٤٢ Devanagari १५४२ Bengali ১৫৪২ Tamil ௧௫௪௨ Thai ๑๕๔๒ Tibetan ༡༥༤༢ Khmer ១៥៤២ Lao ໑໕໔໒ Burmese ၁၅၄၂

Digit at this position in famous constants

π — Pi (π): Digit 1,542 = 3
e — Euler's number (e): Digit 1,542 = 5
φ — Golden ratio (φ): Digit 1,542 = 2
√2 — Pythagoras's (√2): Digit 1,542 = 6
ln 2 — Natural log of 2: Digit 1,542 = 8
γ — Euler-Mascheroni (γ): Digit 1,542 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1542, here are decompositions:

11 + 1531 = 1542
19 + 1523 = 1542
31 + 1511 = 1542
43 + 1499 = 1542
53 + 1489 = 1542
59 + 1483 = 1542
61 + 1481 = 1542
71 + 1471 = 1542

Showing the first eight; more decompositions exist.

Unicode codepoint

Arabic-Indic Cube Root

U+0606

Math symbol (Sm)

UTF-8 encoding: D8 86 (2 bytes).

Lookup U+0606 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000606

RGB(0, 6, 6)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.6.

Address: 0.0.6.6
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.6

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

Musical pitch

Heard as a frequency, 1,542 Hz is closest to:

Concert pitch (A4 = 440 Hz): G6 (1568 Hz, -29¢)
Scientific pitch (C4 = 256 Hz): G6 (1534.3 Hz, +9¢)
Baroque pitch (A4 = 415 Hz): G♯6 (1566.8 Hz, -28¢)

Position in π

The digit sequence 1542 first appears in π at position 7,736 of the decimal expansion (the 7,736ordinal-suffix:th 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 1542 on Pi Search ↗