Live analysis

1,053,804

1,053,804 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.).

1,053,804 (one million fifty-three thousand eight hundred four) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 137 × 641. Its proper divisors sum to 1,426,884, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x10146C.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,053,792 1,053,793 1,053,794 1,053,795 1,053,796 1,053,797 1,053,798 1,053,799 1,053,800 1,053,801 1,053,802 1,053,803 1,053,804 1,053,805 1,053,806 1,053,807 1,053,808 1,053,809 1,053,810 1,053,811 1,053,812 1,053,813 1,053,814 1,053,815 1,053,816

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 21 bits
Reversed: 4,083,501
Square (n²): 1,110,502,870,416
Cube (n³): 1,170,252,366,855,862,464
Divisor count: 24
σ(n) — sum of divisors: 2,480,688
φ(n) — Euler's totient: 348,160
Sum of prime factors: 785

Primality

Prime factorization: 2 ² × 3 × 137 × 641

Nearest primes: 1,053,769 (−35) · 1,053,809 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 137 · 274 · 411 · 548 · 641 · 822 · 1282 · 1644 · 1923 · 2564 · 3846 · 7692 · 87817 · 175634 · 263451 · 351268 · 526902 (half) · 1053804

Aliquot sum (sum of proper divisors): 1,426,884

Factor pairs (a × b = 1,053,804)

1 × 1053804

2 × 526902

3 × 351268

4 × 263451

6 × 175634

12 × 87817

137 × 7692

274 × 3846

411 × 2564

548 × 1923

641 × 1644

822 × 1282

First multiples

1,053,804 · 2,107,608 (double) · 3,161,412 · 4,215,216 · 5,269,020 · 6,322,824 · 7,376,628 · 8,430,432 · 9,484,236 · 10,538,040

Sums & aliquot sequence

As consecutive integers: 351,267 + 351,268 + 351,269 131,722 + 131,723 + … + 131,729 43,897 + 43,898 + … + 43,920 7,624 + 7,625 + … + 7,760

Aliquot sequence: 1,053,804 → 1,426,884 → 1,902,540 → 3,574,932 → 4,766,604 → 6,355,500 → 13,213,140 → 23,948,460 → 51,183,828 → 78,197,606 → 39,162,754 → 19,581,380 → 34,714,540 → 50,090,516 → 51,736,300 → 88,254,740 → 123,556,972 — unresolved within range

Continued fraction of √n

√1,053,804 = [1026; (1, 1, 4, 1, 1, 5, 7, 3, 1, 1, 256, 14, 1, 1, 3, 1, 7, 3, 1, 1, 1, 512, 1, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: one million fifty-three thousand eight hundred four
Ordinal: 1053804th
Binary: 100000001010001101100
Octal: 4012154
Hexadecimal: 0x10146C
Base64: EBRs
One's complement: 4,293,913,491 (32-bit)
Scientific notation: 1.053804 × 10⁶
As a duration: 1,053,804 s = 12 days, 4 hours, 43 minutes, 24 seconds

In other bases

ternary (3) 1222112112210

quaternary (4) 10001101230

quinary (5) 232210204

senary (6) 34330420

septenary (7) 11646213

nonary (9) 1875483

undecimal (11) 65a814

duodecimal (12) 429a10

tridecimal (13) 2ab86b

tetradecimal (14) 1d607a

pentadecimal (15) 15c389

As an angle

1,053,804° = 2,927 × 360° + 84°

84° ≈ 1.466 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Chinese: 一百零五萬三千八百零四
Chinese (financial): 壹佰零伍萬參仟捌佰零肆

In other modern scripts

Eastern Arabic ١٠٥٣٨٠٤ Devanagari १०५३८०४ Bengali ১০৫৩৮০৪ Tamil ௧௦௫௩௮௦௪ Thai ๑๐๕๓๘๐๔ Tibetan ༡༠༥༣༨༠༤ Khmer ១០៥៣៨០៤ Lao ໑໐໕໓໘໐໔ Burmese ၁၀၅၃၈၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1053804, here are decompositions:

47 + 1053757 = 1053804
67 + 1053737 = 1053804
97 + 1053707 = 1053804
107 + 1053697 = 1053804
113 + 1053691 = 1053804
211 + 1053593 = 1053804
223 + 1053581 = 1053804
233 + 1053571 = 1053804

Showing the first eight; more decompositions exist.

Hex color

#10146C

RGB(16, 20, 108)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.20.108.

Address: 0.16.20.108
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.20.108

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 5, 3804 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

3804-05-01 (DMMYYYY (Euro, single-digit day))
3804-10-05 (MMDYYYY (US, single-digit day))
3804-05-10 (DDMYYYY (Euro, single-digit month))

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 1,053,804 and was likely granted around 1912.

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

Look up US1,053,804 on Google Patents ↗ Look up on USPTO ↗