Number

1,496

1,496 is a composite number, even, a calendar year.

1,496 (one thousand four hundred ninety-six) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 11 × 17. Its proper divisors sum to 1,744, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCDXCVI and in binary, 10111011000.

Abundant Number Evil Number Practical Number Recamán's Sequence Semiperfect Number Square Pyramidal Year

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,484 1,485 1,486 1,487 1,488 1,489 1,490 1,491 1,492 1,493 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

less more

Historical context — 1496 AD

Calendar year

Year 1496 (MCDXCVI) was a leap year starting on Friday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 53
Long year: contains 53 ISO weeks.
Started on: Wednesday
January 1, 1496
Ended on: Thursday
December 31, 1496
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1490s
1490–1499
Century: 15th century
1401–1500
Millennium: 2nd millennium
1001–2000
Years ago: 530
530 years before 2026.

In other calendars

Hebrew: 5256 / 5257 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 901 / 902 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Dragon
Sexagenary cycle position 53 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2039 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 874 / 875 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1488 / 1489 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1418 / 1417 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 20
Digit product: 216
Digital root: 2
Palindrome: No
Bit width: 11 bits
Reversed: 6,941
Recamán's sequence: a(1,568) = 1,496
Square (n²): 2,238,016
Cube (n³): 3,348,071,936
Divisor count: 16
σ(n) — sum of divisors: 3,240
φ(n) — Euler's totient: 640
Sum of prime factors: 34

Primality

Prime factorization: 2 ³ × 11 × 17

Nearest primes: 1,493 (−3) · 1,499 (+3)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 8 · 11 · 17 · 22 · 34 · 44 · 68 · 88 · 136 · 187 · 374 · 748 (half) · 1496

Aliquot sum (sum of proper divisors): 1,744

Factor pairs (a × b = 1,496)

1 × 1496

2 × 748

4 × 374

8 × 187

11 × 136

17 × 88

22 × 68

34 × 44

First multiples

1,496 · 2,992 (double) · 4,488 · 5,984 · 7,480 · 8,976 · 10,472 · 11,968 · 13,464 · 14,960

Sums & aliquot sequence

As consecutive integers: 131 + 132 + … + 141 86 + 87 + … + 101 80 + 81 + … + 96

Aliquot sequence: 1,496 → 1,744 → 1,666 → 1,412 → 1,066 → 698 → 352 → 404 → 310 → 266 → 214 → 110 → 106 → 56 → 64 → 63 → 41 — unresolved within range

Continued fraction of √n

√1,496 = [38; (1, 2, 9, 2, 1, 76)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: one thousand four hundred ninety-six
Ordinal: 1496th
Roman numeral: MCDXCVI
Binary: 10111011000
Octal: 2730
Hexadecimal: 0x5D8
Base64: Bdg=
One's complement: 64,039 (16-bit)
Scientific notation: 1.496 × 10³
As a duration: 1,496 s = 24 minutes, 56 seconds

In other bases

ternary (3) 2001102

quaternary (4) 113120

quinary (5) 21441

senary (6) 10532

septenary (7) 4235

nonary (9) 2042

undecimal (11) 1140

duodecimal (12) a48

tridecimal (13) 8b1

tetradecimal (14) 78c

pentadecimal (15) 69b

As an angle

1,496° = 4 × 360° + 56°

56° ≈ 0.977 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αυϟϛʹ
Mayan (base 20): 𝋣·𝋮·𝋰
Chinese: 一千四百九十六
Chinese (financial): 壹仟肆佰玖拾陸

In other modern scripts

Eastern Arabic ١٤٩٦ Devanagari १४९६ Bengali ১৪৯৬ Tamil ௧௪௯௬ Thai ๑๔๙๖ Tibetan ༡༤༩༦ Khmer ១៤៩៦ Lao ໑໔໙໖ Burmese ၁၄၉၆

Digit at this position in famous constants

π — Pi (π): Digit 1,496 = 3
e — Euler's number (e): Digit 1,496 = 5
φ — Golden ratio (φ): Digit 1,496 = 9
√2 — Pythagoras's (√2): Digit 1,496 = 5
ln 2 — Natural log of 2: Digit 1,496 = 3
γ — Euler-Mascheroni (γ): Digit 1,496 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1496, here are decompositions:

3 + 1493 = 1496
7 + 1489 = 1496
13 + 1483 = 1496
37 + 1459 = 1496
43 + 1453 = 1496
67 + 1429 = 1496
73 + 1423 = 1496
97 + 1399 = 1496

Showing the first eight; more decompositions exist.

Unicode codepoint

Hebrew Letter Tet

U+05D8

Other letter (Lo)

UTF-8 encoding: D7 98 (2 bytes).

Lookup U+05D8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0005D8

RGB(0, 5, 216)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.216.

Address: 0.0.5.216
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.216

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

Musical pitch

Heard as a frequency, 1,496 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯6 (1480 Hz, +19¢)
Scientific pitch (C4 = 256 Hz): G6 (1534.3 Hz, -44¢)
Baroque pitch (A4 = 415 Hz): G6 (1478.9 Hz, +20¢)

Position in π

The digit sequence 1496 first appears in π at position 5,111 of the decimal expansion (the 5,111ordinal-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 1496 on Pi Search ↗