Number

1,506

1,506 is a composite number, even, a calendar year.

1,506 (one thousand five hundred six) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 251. Its proper divisors sum to 1,518, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDVI and in binary, 10111100010.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,494 1,495 1,496 1,497 1,498 1,499 1,500 1,501 1,502 1,503 1,504 1,505 1,506 1,507 1,508 1,509 1,510 1,511 1,512 1,513 1,514 1,515 1,516 1,517 1,518

less more

Notable events — 1506 AD

May 20 Christopher Columbus dies in Valladolid.
Apr 11 Construction of the new St. Peter's Basilica begins in Rome.
Jan 22 The Pope's Swiss Guard is founded.

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: Monday
January 1, 1506
Ended on: Monday
December 31, 1506
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1500s
1500–1509
Century: 16th century
1501–1600
Millennium: 2nd millennium
1001–2000
Years ago: 520
520 years before 2026.

In other calendars

Hebrew: 5266 / 5267 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 911 / 912 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Tiger
Sexagenary cycle position 3 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2049 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 884 / 885 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1498 / 1499 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1428 / 1427 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 11 bits
Reversed: 6,051
Recamán's sequence: a(1,548) = 1,506
Square (n²): 2,268,036
Cube (n³): 3,415,662,216
Divisor count: 8
σ(n) — sum of divisors: 3,024
φ(n) — Euler's totient: 500
Sum of prime factors: 256

Primality

Prime factorization: 2 × 3 × 251

Nearest primes: 1,499 (−7) · 1,511 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 251 · 502 · 753 (half) · 1506

Aliquot sum (sum of proper divisors): 1,518

Factor pairs (a × b = 1,506)

1 × 1506

2 × 753

3 × 502

6 × 251

First multiples

1,506 · 3,012 (double) · 4,518 · 6,024 · 7,530 · 9,036 · 10,542 · 12,048 · 13,554 · 15,060

Sums & aliquot sequence

As consecutive integers: 501 + 502 + 503 375 + 376 + 377 + 378 120 + 121 + … + 131

Aliquot sequence: 1,506 → 1,518 → 1,938 → 2,382 → 2,394 → 3,846 → 3,858 → 3,870 → 6,426 → 10,854 → 13,830 → 19,434 → 20,886 → 21,606 → 25,098 → 26,742 → 26,754 — unresolved within range

Continued fraction of √n

√1,506 = [38; (1, 4, 5, 2, 1, 10, 2, 2, 38, 2, 2, 10, 1, 2, 5, 4, 1, 76)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words: one thousand five hundred six
Ordinal: 1506th
Roman numeral: MDVI
Binary: 10111100010
Octal: 2742
Hexadecimal: 0x5E2
Base64: BeI=
One's complement: 64,029 (16-bit)
Scientific notation: 1.506 × 10³
As a duration: 1,506 s = 25 minutes, 6 seconds

In other bases

ternary (3) 2001210

quaternary (4) 113202

quinary (5) 22011

senary (6) 10550

septenary (7) 4251

nonary (9) 2053

undecimal (11) 114a

duodecimal (12) a56

tridecimal (13) 8bb

tetradecimal (14) 798

pentadecimal (15) 6a6

Palindromic in base 15

As an angle

1,506° = 4 × 360° + 66°

66° ≈ 1.152 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αφϛʹ
Mayan (base 20): 𝋣·𝋯·𝋦
Chinese: 一千五百零六
Chinese (financial): 壹仟伍佰零陸

In other modern scripts

Eastern Arabic ١٥٠٦ Devanagari १५०६ Bengali ১৫০৬ Tamil ௧௫௦௬ Thai ๑๕๐๖ Tibetan ༡༥༠༦ Khmer ១៥០៦ Lao ໑໕໐໖ Burmese ၁၅၀၆

Digit at this position in famous constants

π — Pi (π): Digit 1,506 = 6
e — Euler's number (e): Digit 1,506 = 9
φ — Golden ratio (φ): Digit 1,506 = 0
√2 — Pythagoras's (√2): Digit 1,506 = 2
ln 2 — Natural log of 2: Digit 1,506 = 9
γ — Euler-Mascheroni (γ): Digit 1,506 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1506, here are decompositions:

7 + 1499 = 1506
13 + 1493 = 1506
17 + 1489 = 1506
19 + 1487 = 1506
23 + 1483 = 1506
47 + 1459 = 1506
53 + 1453 = 1506
59 + 1447 = 1506

Showing the first eight; more decompositions exist.

Unicode codepoint

Hebrew Letter Ayin

U+05E2

Other letter (Lo)

UTF-8 encoding: D7 A2 (2 bytes).

Lookup U+05E2 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0005E2

RGB(0, 5, 226)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.226.

Address: 0.0.5.226
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.226

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

Musical pitch

Heard as a frequency, 1,506 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯6 (1480 Hz, +30¢)
Scientific pitch (C4 = 256 Hz): G6 (1534.3 Hz, -32¢)
Baroque pitch (A4 = 415 Hz): G6 (1478.9 Hz, +31¢)

Position in π

The digit sequence 1506 first appears in π at position 1,114 of the decimal expansion (the 1,114ordinal-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 1506 on Pi Search ↗