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1,004,404

1,004,404 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,004,404 (one million four thousand four hundred four) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 293 × 857. Written other ways, in hexadecimal, 0xF5374.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
4,044,001
Square (n²)
1,008,827,395,216
Cube (n³)
1,013,270,271,064,531,264
Divisor count
12
σ(n) — sum of divisors
1,765,764
φ(n) — Euler's totient
499,904
Sum of prime factors
1,154

Primality

Prime factorization: 2 2 × 293 × 857

Nearest primes: 1,004,401 (−3) · 1,004,429 (+25)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 293 · 586 · 857 · 1172 · 1714 · 3428 · 251101 · 502202 (half) · 1004404
Aliquot sum (sum of proper divisors): 761,360
Factor pairs (a × b = 1,004,404)
1 × 1004404
2 × 502202
4 × 251101
293 × 3428
586 × 1714
857 × 1172
First multiples
1,004,404 · 2,008,808 (double) · 3,013,212 · 4,017,616 · 5,022,020 · 6,026,424 · 7,030,828 · 8,035,232 · 9,039,636 · 10,044,040

Sums & aliquot sequence

As a sum of two squares: 20² + 1,002² = 252² + 970²
As consecutive integers: 125,547 + 125,548 + … + 125,554 3,282 + 3,283 + … + 3,574 744 + 745 + … + 1,600
Aliquot sequence: 1,004,404 761,360 1,071,856 1,072,848 2,228,528 2,229,520 3,311,420 5,115,460 7,383,740 11,705,092 11,942,588 12,249,412 12,687,290 15,786,694 15,027,002 8,240,710 6,630,890 — unresolved within range

Continued fraction of √n

√1,004,404 = [1002; (5, 95, 4, 25, 1, 3, 1, 1, 2, 1, 1, 60, 6, 2, 1, 7, 1, 2, 133, 3, 1, 1, 2, 1, …)]

Representations

In words
one million four thousand four hundred four
Ordinal
1004404th
Binary
11110101001101110100
Octal
3651564
Hexadecimal
0xF5374
Base64
D1N0
One's complement
4,293,962,891 (32-bit)
Scientific notation
1.004404 × 10⁶
As a duration
1,004,404 s = 11 days, 15 hours, 4 seconds
In other bases
ternary (3) 1220000210011
quaternary (4) 3311031310
quinary (5) 224120104
senary (6) 33310004
septenary (7) 11352202
nonary (9) 1800704
undecimal (11) 626695
duodecimal (12) 405304
tridecimal (13) 29222b
tetradecimal (14) 1c2072
pentadecimal (15) 14c904

As an angle

1,004,404° = 2,790 × 360° + 4°
4° ≈ 0.07 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Chinese
一百萬四千四百零四
Chinese (financial)
壹佰萬肆仟肆佰零肆
In other modern scripts
Eastern Arabic ١٠٠٤٤٠٤ Devanagari १००४४०४ Bengali ১০০৪৪০৪ Tamil ௧௦௦௪௪௦௪ Thai ๑๐๐๔๔๐๔ Tibetan ༡༠༠༤༤༠༤ Khmer ១០០៤៤០៤ Lao ໑໐໐໔໔໐໔ Burmese ၁၀၀၄၄၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004404, here are decompositions:

  • 3 + 1004401 = 1004404
  • 41 + 1004363 = 1004404
  • 101 + 1004303 = 1004404
  • 131 + 1004273 = 1004404
  • 263 + 1004141 = 1004404
  • 347 + 1004057 = 1004404
  • 461 + 1003943 = 1004404
  • 491 + 1003913 = 1004404

Showing the first eight; more decompositions exist.

Hex color
#0F5374
RGB(15, 83, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.83.116.

Address
0.15.83.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.83.116

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,004,404 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.