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Number

1,531

1,531 is a prime, odd, a calendar year.

Arithmetic Number Deficient Number Odious Number Prime Recamán's Sequence Squarefree Year

Notable events — 1531 AD

Feb 11 Henry VIII is recognized as Supreme Head of the Church of England.
Aug 25 A meteor falls near Crema, Italy, signaling "the wrath of God".
Undated Halley's Comet appears, later identified retrospectively.

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, 1531
Ended on: Thursday
December 31, 1531
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 1530s
1530–1539
Century: 16th century
1501–1600
Millennium: 2nd millennium
1001–2000
Years ago: 495
495 years before 2026.

In other calendars

Hebrew: 5291 / 5292 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 937 / 938 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Rabbit
Sexagenary cycle position 28 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2074 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 909 / 910 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1523 / 1524 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1453 / 1452 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 4
Digit sum: 10
Digit product: 15
Digital root: 1
Palindrome: No
Bit width: 11 bits
Reversed: 1,351
Recamán's sequence: a(1,498) = 1,531
Square (n²): 2,343,961
Cube (n³): 3,588,604,291
Divisor count: 2
σ(n) — sum of divisors: 1,532
φ(n) — Euler's totient: 1,530

Primality

1,531 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1531

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,531)

1 × 1531

First multiples

1,531 · 3,062 (double) · 4,593 · 6,124 · 7,655 · 9,186 · 10,717 · 12,248 · 13,779 · 15,310

Sums & aliquot sequence

As consecutive integers: 765 + 766

Representations

In words: one thousand five hundred thirty-one
Ordinal: 1531st
Roman numeral: MDXXXI
Binary: 10111111011
Octal: 2773
Hexadecimal: 0x5FB
Base64: Bfs=
One's complement: 64,004 (16-bit)

In other bases

ternary (3) 2002201

quaternary (4) 113323

quinary (5) 22111

senary (6) 11031

septenary (7) 4315

nonary (9) 2081

undecimal (11) 1172

duodecimal (12) a77

tridecimal (13) 90a

tetradecimal (14) 7b5

pentadecimal (15) 6c1

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian): ͵αφλαʹ
Mayan (base 20): 𝋣·𝋰·𝋫
Chinese: 一千五百三十一
Chinese (financial): 壹仟伍佰參拾壹

In other modern scripts

Eastern Arabic ١٥٣١ Devanagari १५३१ Bengali ১৫৩১ Tamil ௧௫௩௧ Thai ๑๕๓๑ Tibetan ༡༥༣༡ Khmer ១៥៣១ Lao ໑໕໓໑ Burmese ၁၅၃၁

Digit at this position in famous constants

π — Pi (π): Digit 1,531 = 5
e — Euler's number (e): Digit 1,531 = 7
φ — Golden ratio (φ): Digit 1,531 = 6
√2 — Pythagoras's (√2): Digit 1,531 = 7
ln 2 — Natural log of 2: Digit 1,531 = 4
γ — Euler-Mascheroni (γ): Digit 1,531 = 7

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,523 (gap of 8)
Next prime: 1,543 (gap of 12)

Hex color

#0005FB

RGB(0, 5, 251)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.251.

Address: 0.0.5.251
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.251

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

Position in π

The digit sequence 1531 first appears in π at position 29,138 of the decimal expansion (the 29,138ordinal-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 1531 on Pi Search ↗