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1,057,232

1,057,232 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.).

1,057,232 (one million fifty-seven thousand two hundred thirty-two) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 11 × 6,007. Its proper divisors sum to 1,177,744, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1021D0.

Abundant Number Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
21 bits
Reversed
2,327,501
Square (n²)
1,117,739,501,824
Cube (n³)
1,181,709,968,992,391,168
Divisor count
20
σ(n) — sum of divisors
2,234,976
φ(n) — Euler's totient
480,480
Sum of prime factors
6,026

Primality

Prime factorization: 2 4 × 11 × 6007

Nearest primes: 1,057,223 (−9) · 1,057,237 (+5)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 11 · 16 · 22 · 44 · 88 · 176 · 6007 · 12014 · 24028 · 48056 · 66077 · 96112 · 132154 · 264308 · 528616 (half) · 1057232
Aliquot sum (sum of proper divisors): 1,177,744
Factor pairs (a × b = 1,057,232)
1 × 1057232
2 × 528616
4 × 264308
8 × 132154
11 × 96112
16 × 66077
22 × 48056
44 × 24028
88 × 12014
176 × 6007
First multiples
1,057,232 · 2,114,464 (double) · 3,171,696 · 4,228,928 · 5,286,160 · 6,343,392 · 7,400,624 · 8,457,856 · 9,515,088 · 10,572,320

Sums & aliquot sequence

As consecutive integers: 96,107 + 96,108 + … + 96,117 33,023 + 33,024 + … + 33,054 2,828 + 2,829 + … + 3,179
Aliquot sequence: 1,057,232 → 1,177,744 → 1,104,166 → 927,314 → 601,966 → 304,298 → 154,810 → 128,366 → 97,138 → 57,194 → 28,600 → 49,520 → 65,800 → 112,760 → 141,040 → 202,688 → 199,648 — unresolved within range

Continued fraction of √n

√1,057,232 = [1028; (4, 1, 1, 2, 3, 1, 1, 22, 1, 1, 5, 2, 15, 1, 2, 1, 3, 6, 2, 2, 3, 1, 2, 6, …)]

Representations

In words
one million fifty-seven thousand two hundred thirty-two
Ordinal
1057232nd
Binary
100000010000111010000
Octal
4020720
Hexadecimal
0x1021D0
Base64
ECHQ
One's complement
4,293,910,063 (32-bit)
Scientific notation
1.057232 × 10⁶
As a duration
1,057,232 s = 12 days, 5 hours, 40 minutes, 32 seconds
In other bases
ternary (3) 1222201020202
quaternary (4) 10002013100
quinary (5) 232312412
senary (6) 34354332
septenary (7) 11662211
nonary (9) 1881222
undecimal (11) 662350
duodecimal (12) 42b9a8
tridecimal (13) 2b02a7
tetradecimal (14) 1d7408
pentadecimal (15) 15d3c2

As an angle

1,057,232° = 2,936 × 360° + 272°
272° ≈ 4.747 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Chinese
一百零五萬七千二百三十二
Chinese (financial)
壹佰零伍萬柒仟貳佰參拾貳
In other modern scripts
Eastern Arabic ١٠٥٧٢٣٢ Devanagari १०५७२३२ Bengali ১০৫৭২৩২ Tamil ௧௦௫௭௨௩௨ Thai ๑๐๕๗๒๓๒ Tibetan ༡༠༥༧༢༣༢ Khmer ១០៥៧២៣២ Lao ໑໐໕໗໒໓໒ Burmese ၁၀၅၇၂၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1057232, here are decompositions:

  • 13 + 1057219 = 1057232
  • 103 + 1057129 = 1057232
  • 139 + 1057093 = 1057232
  • 181 + 1057051 = 1057232
  • 199 + 1057033 = 1057232
  • 229 + 1057003 = 1057232
  • 283 + 1056949 = 1057232
  • 409 + 1056823 = 1057232

Showing the first eight; more decompositions exist.

Hex color
#1021D0
RGB(16, 33, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.33.208.

Address
0.16.33.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.33.208

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 5, 7232 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 7232-05-01 (DMMYYYY (Euro, single-digit day))
  • 7232-10-05 (MMDYYYY (US, single-digit day))
  • 7232-05-10 (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 1,057,232 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°.