Number

1,404

1,404 is a composite number, even, a calendar year.

1,404 (one thousand four hundred four) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2² × 3³ × 13. Its proper divisors sum to 2,516, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCDIV and in binary, 10101111100.

Abundant Number Harshad / Niven Heptagonal Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,392 1,393 1,394 1,395 1,396 1,397 1,398 1,399 1,400 1,401 1,402 1,403 1,404 1,405 1,406 1,407 1,408 1,409 1,410 1,411 1,412 1,413 1,414 1,415 1,416

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Historical context — 1404 AD

Calendar year

Year 1404 (MCDIV) was a leap year starting on Tuesday 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: 52
Started on: Sunday
January 1, 1404
Ended on: Monday
December 31, 1404
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 1400s
1400–1409
Century: 15th century
1401–1500
Millennium: 2nd millennium
1001–2000
Years ago: 622
622 years before 2026.

In other calendars

Hebrew: 5164 / 5165 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 806 / 807 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Wood zodiac:Monkey
Sexagenary cycle position 21 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1947 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 782 / 783 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1396 / 1397 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1326 / 1325 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 11 bits
Reversed: 4,041
Recamán's sequence: a(8,320) = 1,404
Square (n²): 1,971,216
Cube (n³): 2,767,587,264
Divisor count: 24
σ(n) — sum of divisors: 3,920
φ(n) — Euler's totient: 432
Sum of prime factors: 26

Primality

Prime factorization: 2 ² × 3 ³ × 13

Nearest primes: 1,399 (−5) · 1,409 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 13 · 18 · 26 · 27 · 36 · 39 · 52 · 54 · 78 · 108 · 117 · 156 · 234 · 351 · 468 · 702 (half) · 1404

Aliquot sum (sum of proper divisors): 2,516

Factor pairs (a × b = 1,404)

1 × 1404

2 × 702

3 × 468

4 × 351

6 × 234

9 × 156

12 × 117

13 × 108

18 × 78

26 × 54

27 × 52

36 × 39

First multiples

1,404 · 2,808 (double) · 4,212 · 5,616 · 7,020 · 8,424 · 9,828 · 11,232 · 12,636 · 14,040

Sums & aliquot sequence

As consecutive integers: 467 + 468 + 469 172 + 173 + … + 179 152 + 153 + … + 160 102 + 103 + … + 114

Aliquot sequence: 1,404 → 2,516 → 2,272 → 2,264 → 1,996 → 1,504 → 1,520 → 2,200 → 3,380 → 4,306 → 2,156 → 2,632 → 3,128 → 3,352 → 2,948 → 2,764 → 2,080 — unresolved within range

Continued fraction of √n

√1,404 = [37; (2, 7, 1, 4, 1, 7, 2, 74)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one thousand four hundred four
Ordinal: 1404th
Roman numeral: MCDIV
Binary: 10101111100
Octal: 2574
Hexadecimal: 0x57C
Base64: BXw=
One's complement: 64,131 (16-bit)
Scientific notation: 1.404 × 10³
As a duration: 1,404 s = 23 minutes, 24 seconds

In other bases

ternary (3) 1221000

quaternary (4) 111330

quinary (5) 21104

senary (6) 10300

septenary (7) 4044

nonary (9) 1830

undecimal (11) 1067

duodecimal (12) 990

tridecimal (13) 840

tetradecimal (14) 724

pentadecimal (15) 639

As an angle

1,404° = 3 × 360° + 324°

324° ≈ 5.655 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αυδʹ
Mayan (base 20): 𝋣·𝋪·𝋤
Chinese: 一千四百零四
Chinese (financial): 壹仟肆佰零肆

In other modern scripts

Eastern Arabic ١٤٠٤ Devanagari १४०४ Bengali ১৪০৪ Tamil ௧௪௦௪ Thai ๑๔๐๔ Tibetan ༡༤༠༤ Khmer ១៤០៤ Lao ໑໔໐໔ Burmese ၁၄၀၄

Digit at this position in famous constants

π — Pi (π): Digit 1,404 = 8
e — Euler's number (e): Digit 1,404 = 1
φ — Golden ratio (φ): Digit 1,404 = 2
√2 — Pythagoras's (√2): Digit 1,404 = 8
ln 2 — Natural log of 2: Digit 1,404 = 1
γ — Euler-Mascheroni (γ): Digit 1,404 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1404, here are decompositions:

5 + 1399 = 1404
23 + 1381 = 1404
31 + 1373 = 1404
37 + 1367 = 1404
43 + 1361 = 1404
83 + 1321 = 1404
97 + 1307 = 1404
101 + 1303 = 1404

Showing the first eight; more decompositions exist.

Unicode codepoint

Armenian Small Letter Ra

U+057C

Lowercase letter (Ll)

UTF-8 encoding: D5 BC (2 bytes).

Lookup U+057C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00057C

RGB(0, 5, 124)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.124.

Address: 0.0.5.124
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.124

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

Musical pitch

Heard as a frequency, 1,404 Hz is closest to:

Concert pitch (A4 = 440 Hz): F6 (1396.9 Hz, +9¢)
Scientific pitch (C4 = 256 Hz): F6 (1366.9 Hz, +46¢ — about midway to F♯6)
Baroque pitch (A4 = 415 Hz): F♯6 (1395.9 Hz, +10¢)

Food additive (E-number)

On an ingredients label, E1404 is Oxidised starch, an additional additive.

E-number reference (Wikipedia) ↗

Position in π

The digit sequence 1404 first appears in π at position 7,520 of the decimal expansion (the 7,520ordinal-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 1404 on Pi Search ↗