number.wiki
Number

1,542

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

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

Notable events — 1542 AD

  1. Jul 21 Pope Paul III establishes the Roman Inquisition.
  2. Sep 28 Cabrillo enters San Diego Bay, the first European in California.
  3. 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

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)
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

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).

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.

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.