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1,057,042

1,057,042 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.).

1,057,042 (one million fifty-seven thousand forty-two) is an even 7-digit number. It is a composite number with 8 divisors, and factors as 2 × 7 × 75,503. Written other ways, in hexadecimal, 0x102112.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
21 bits
Reversed
2,407,501
Square (n²)
1,117,337,789,764
Cube (n³)
1,181,072,971,967,718,088
Divisor count
8
σ(n) — sum of divisors
1,812,096
φ(n) — Euler's totient
453,012
Sum of prime factors
75,512

Primality

Prime factorization: 2 × 7 × 75503

Nearest primes: 1,057,037 (−5) · 1,057,051 (+9)

Divisors & multiples

All divisors (8)
1 · 2 · 7 · 14 · 75503 · 151006 · 528521 (half) · 1057042
Aliquot sum (sum of proper divisors): 755,054
Factor pairs (a × b = 1,057,042)
1 × 1057042
2 × 528521
7 × 151006
14 × 75503
First multiples
1,057,042 · 2,114,084 (double) · 3,171,126 · 4,228,168 · 5,285,210 · 6,342,252 · 7,399,294 · 8,456,336 · 9,513,378 · 10,570,420

Sums & aliquot sequence

As consecutive integers: 264,259 + 264,260 + 264,261 + 264,262 151,003 + 151,004 + … + 151,009 37,738 + 37,739 + … + 37,765
Aliquot sequence: 1,057,042 → 755,054 → 377,530 → 338,150 → 290,902 → 145,454 → 72,730 → 77,030 → 61,642 → 55,322 → 28,678 → 17,690 → 15,790 → 12,650 → 14,134 → 7,754 → 3,880 — unresolved within range

Continued fraction of √n

√1,057,042 = [1028; (7, 1, 31, 1, 3, 4, 4, 25, 6, 1, 2, 7, 1, 9, 1, 7, 1, 2, 1, 2, 1, 1, 1, 6, …)]

Representations

In words
one million fifty-seven thousand forty-two
Ordinal
1057042nd
Binary
100000010000100010010
Octal
4020422
Hexadecimal
0x102112
Base64
ECES
One's complement
4,293,910,253 (32-bit)
Scientific notation
1.057042 × 10⁶
As a duration
1,057,042 s = 12 days, 5 hours, 37 minutes, 22 seconds
In other bases
ternary (3) 1222200222201
quaternary (4) 10002010102
quinary (5) 232311132
senary (6) 34353414
septenary (7) 11661520
nonary (9) 1880881
undecimal (11) 662198
duodecimal (12) 42b86a
tridecimal (13) 2b018c
tetradecimal (14) 1d7310
pentadecimal (15) 15d2e7
Palindromic in base 9

As an angle

1,057,042° = 2,936 × 360° + 82°
82° ≈ 1.431 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百零五萬七千零四十二
Chinese (financial)
壹佰零伍萬柒仟零肆拾貳
In other modern scripts
Eastern Arabic ١٠٥٧٠٤٢ Devanagari १०५७०४२ Bengali ১০৫৭০৪২ Tamil ௧௦௫௭௦௪௨ Thai ๑๐๕๗๐๔๒ Tibetan ༡༠༥༧༠༤༢ Khmer ១០៥៧០៤២ Lao ໑໐໕໗໐໔໒ Burmese ၁၀၅၇၀၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1057042, here are decompositions:

  • 5 + 1057037 = 1057042
  • 23 + 1057019 = 1057042
  • 29 + 1057013 = 1057042
  • 71 + 1056971 = 1057042
  • 83 + 1056959 = 1057042
  • 113 + 1056929 = 1057042
  • 131 + 1056911 = 1057042
  • 149 + 1056893 = 1057042

Showing the first eight; more decompositions exist.

Hex color
#102112
RGB(16, 33, 18)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.33.18.

Address
0.16.33.18
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.33.18

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 5, 7042 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 7042-05-01 (DMMYYYY (Euro, single-digit day))
  • 7042-10-05 (MMDYYYY (US, single-digit day))
  • 7042-05-10 (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 1,057,042 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°.