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1,057,004

1,057,004 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.).

1,057,004 (one million fifty-seven thousand four) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 13 × 20,327. Written other ways, in hexadecimal, 0x1020EC.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
21 bits
Reversed
4,007,501
Square (n²)
1,117,257,456,016
Cube (n³)
1,180,945,600,038,736,064
Divisor count
12
σ(n) — sum of divisors
1,992,144
φ(n) — Euler's totient
487,824
Sum of prime factors
20,344

Primality

Prime factorization: 2 2 × 13 × 20327

Nearest primes: 1,057,003 (−1) · 1,057,013 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 13 · 26 · 52 · 20327 · 40654 · 81308 · 264251 · 528502 (half) · 1057004
Aliquot sum (sum of proper divisors): 935,140
Factor pairs (a × b = 1,057,004)
1 × 1057004
2 × 528502
4 × 264251
13 × 81308
26 × 40654
52 × 20327
First multiples
1,057,004 · 2,114,008 (double) · 3,171,012 · 4,228,016 · 5,285,020 · 6,342,024 · 7,399,028 · 8,456,032 · 9,513,036 · 10,570,040

Sums & aliquot sequence

As consecutive integers: 132,122 + 132,123 + … + 132,129 81,302 + 81,303 + … + 81,314 10,112 + 10,113 + … + 10,215
Aliquot sequence: 1,057,004 → 935,140 → 1,028,696 → 915,304 → 945,806 → 587,794 → 297,914 → 148,960 → 281,960 → 495,640 → 619,640 → 974,440 → 1,348,640 → 1,837,900 → 2,150,560 → 2,930,516 → 2,403,820 — unresolved within range

Continued fraction of √n

√1,057,004 = [1028; (9, 2, 1, 8, 6, 1, 4, 1, 13, 1, 6, 26, 1, 1, 3, 1, 2, 9, 8, 1, 1, 1, 4, 33, …)]

Representations

In words
one million fifty-seven thousand four
Ordinal
1057004th
Binary
100000010000011101100
Octal
4020354
Hexadecimal
0x1020EC
Base64
ECDs
One's complement
4,293,910,291 (32-bit)
Scientific notation
1.057004 × 10⁶
As a duration
1,057,004 s = 12 days, 5 hours, 36 minutes, 44 seconds
In other bases
ternary (3) 1222200221022
quaternary (4) 10002003230
quinary (5) 232311004
senary (6) 34353312
septenary (7) 11661434
nonary (9) 1880838
undecimal (11) 662163
duodecimal (12) 42b838
tridecimal (13) 2b0160
tetradecimal (14) 1d72c4
pentadecimal (15) 15d2be

As an angle

1,057,004° = 2,936 × 360° + 44°
44° ≈ 0.768 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Chinese
一百零五萬七千零四
Chinese (financial)
壹佰零伍萬柒仟零肆
In other modern scripts
Eastern Arabic ١٠٥٧٠٠٤ Devanagari १०५७००४ Bengali ১০৫৭০০৪ Tamil ௧௦௫௭௦௦௪ Thai ๑๐๕๗๐๐๔ Tibetan ༡༠༥༧༠༠༤ Khmer ១០៥៧០០៤ Lao ໑໐໕໗໐໐໔ Burmese ၁၀၅၇၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1057004, here are decompositions:

  • 181 + 1056823 = 1057004
  • 211 + 1056793 = 1057004
  • 283 + 1056721 = 1057004
  • 337 + 1056667 = 1057004
  • 463 + 1056541 = 1057004
  • 523 + 1056481 = 1057004
  • 541 + 1056463 = 1057004
  • 631 + 1056373 = 1057004

Showing the first eight; more decompositions exist.

Hex color
#1020EC
RGB(16, 32, 236)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.32.236.

Address
0.16.32.236
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.32.236

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 5, 7004 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 7004-05-01 (DMMYYYY (Euro, single-digit day))
  • 7004-10-05 (MMDYYYY (US, single-digit day))
  • 7004-05-10 (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 1,057,004 and was likely granted around 1912.

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°.