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1,000,404

1,000,404 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.).

1,000,404 (one million four hundred four) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3³ × 59 × 157. Its proper divisors sum to 1,653,996, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF43D4.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
4,040,001
Square (n²)
1,000,808,163,216
Cube (n³)
1,001,212,489,713,939,264
Divisor count
48
σ(n) — sum of divisors
2,654,400
φ(n) — Euler's totient
325,728
Sum of prime factors
229

Primality

Prime factorization: 2 2 × 3 3 × 59 × 157

Nearest primes: 1,000,403 (−1) · 1,000,409 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 36 · 54 · 59 · 108 · 118 · 157 · 177 · 236 · 314 · 354 · 471 · 531 · 628 · 708 · 942 · 1062 · 1413 · 1593 · 1884 · 2124 · 2826 · 3186 · 4239 · 5652 · 6372 · 8478 · 9263 · 16956 · 18526 · 27789 · 37052 · 55578 · 83367 · 111156 · 166734 · 250101 · 333468 · 500202 (half) · 1000404
Aliquot sum (sum of proper divisors): 1,653,996
Factor pairs (a × b = 1,000,404)
1 × 1000404
2 × 500202
3 × 333468
4 × 250101
6 × 166734
9 × 111156
12 × 83367
18 × 55578
27 × 37052
36 × 27789
54 × 18526
59 × 16956
108 × 9263
118 × 8478
157 × 6372
177 × 5652
236 × 4239
314 × 3186
354 × 2826
471 × 2124
531 × 1884
628 × 1593
708 × 1413
942 × 1062
First multiples
1,000,404 · 2,000,808 (double) · 3,001,212 · 4,001,616 · 5,002,020 · 6,002,424 · 7,002,828 · 8,003,232 · 9,003,636 · 10,004,040

Sums & aliquot sequence

As consecutive integers: 333,467 + 333,468 + 333,469 125,047 + 125,048 + … + 125,054 111,152 + 111,153 + … + 111,160 41,672 + 41,673 + … + 41,695
Aliquot sequence: 1,000,404 1,653,996 2,226,244 1,686,056 1,489,144 1,509,656 1,320,964 990,730 930,014 465,010 597,926 427,114 213,560 294,040 367,640 660,520 1,073,420 — unresolved within range

Continued fraction of √n

√1,000,404 = [1000; (4, 1, 19, 2, 2, 6, 5, 1, 1, 1, 1, 4, 42, 2, 1, 9, 11, 3, 1, 4, 4, 13, 1, 1, …)]

Representations

In words
one million four hundred four
Ordinal
1000404th
Binary
11110100001111010100
Octal
3641724
Hexadecimal
0xF43D4
Base64
D0PU
One's complement
4,293,966,891 (32-bit)
Scientific notation
1.000404 × 10⁶
As a duration
1,000,404 s = 11 days, 13 hours, 53 minutes, 24 seconds
In other bases
ternary (3) 1212211022000
quaternary (4) 3310033110
quinary (5) 224003104
senary (6) 33235300
septenary (7) 11334426
nonary (9) 1784260
undecimal (11) 623689
duodecimal (12) 402b30
tridecimal (13) 290472
tetradecimal (14) 1c0816
pentadecimal (15) 14b639

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Chinese
一百萬零四百零四
Chinese (financial)
壹佰萬零肆佰零肆
In other modern scripts
Eastern Arabic ١٠٠٠٤٠٤ Devanagari १०००४०४ Bengali ১০০০৪০৪ Tamil ௧௦௦௦௪௦௪ Thai ๑๐๐๐๔๐๔ Tibetan ༡༠༠༠༤༠༤ Khmer ១០០០៤០៤ Lao ໑໐໐໐໔໐໔ Burmese ၁၀၀၀၄၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000404, here are decompositions:

  • 7 + 1000397 = 1000404
  • 11 + 1000393 = 1000404
  • 23 + 1000381 = 1000404
  • 37 + 1000367 = 1000404
  • 47 + 1000357 = 1000404
  • 71 + 1000333 = 1000404
  • 101 + 1000303 = 1000404
  • 113 + 1000291 = 1000404

Showing the first eight; more decompositions exist.

Hex color
#0F43D4
RGB(15, 67, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.67.212.

Address
0.15.67.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.67.212

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 1,000,404 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°.