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1,055,376

1,055,376 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.).

1,055,376 (one million fifty-five thousand three hundred seventy-six) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3³ × 7 × 349. Its proper divisors sum to 2,416,624, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101A90.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
6,735,501
Square (n²)
1,113,818,501,376
Cube (n³)
1,175,497,314,708,197,376
Divisor count
80
σ(n) — sum of divisors
3,472,000
φ(n) — Euler's totient
300,672
Sum of prime factors
373

Primality

Prime factorization: 2 4 × 3 3 × 7 × 349

Nearest primes: 1,055,371 (−5) · 1,055,387 (+11)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 16 · 18 · 21 · 24 · 27 · 28 · 36 · 42 · 48 · 54 · 56 · 63 · 72 · 84 · 108 · 112 · 126 · 144 · 168 · 189 · 216 · 252 · 336 · 349 · 378 · 432 · 504 · 698 · 756 · 1008 · 1047 · 1396 · 1512 · 2094 · 2443 · 2792 · 3024 · 3141 · 4188 · 4886 · 5584 · 6282 · 7329 · 8376 · 9423 · 9772 · 12564 · 14658 · 16752 · 18846 · 19544 · 21987 · 25128 · 29316 · 37692 · 39088 · 43974 · 50256 · 58632 · 65961 · 75384 · 87948 · 117264 · 131922 · 150768 · 175896 · 263844 · 351792 · 527688 (half) · 1055376
Aliquot sum (sum of proper divisors): 2,416,624
Factor pairs (a × b = 1,055,376)
1 × 1055376
2 × 527688
3 × 351792
4 × 263844
6 × 175896
7 × 150768
8 × 131922
9 × 117264
12 × 87948
14 × 75384
16 × 65961
18 × 58632
21 × 50256
24 × 43974
27 × 39088
28 × 37692
36 × 29316
42 × 25128
48 × 21987
54 × 19544
56 × 18846
63 × 16752
72 × 14658
84 × 12564
108 × 9772
112 × 9423
126 × 8376
144 × 7329
168 × 6282
189 × 5584
216 × 4886
252 × 4188
336 × 3141
349 × 3024
378 × 2792
432 × 2443
504 × 2094
698 × 1512
756 × 1396
1008 × 1047
First multiples
1,055,376 · 2,110,752 (double) · 3,166,128 · 4,221,504 · 5,276,880 · 6,332,256 · 7,387,632 · 8,443,008 · 9,498,384 · 10,553,760

Sums & aliquot sequence

As consecutive integers: 351,791 + 351,792 + 351,793 150,765 + 150,766 + … + 150,771 117,260 + 117,261 + … + 117,268 50,246 + 50,247 + … + 50,266
Aliquot sequence: 1,055,376 → 2,416,624 → 2,934,720 → 7,169,400 → 20,395,800 → 50,498,100 → 115,116,300 → 273,504,660 → 636,888,684 → 851,499,924 → 1,315,954,764 → 2,016,150,012 → 3,141,638,988 → 4,188,852,012 → 5,585,136,044 → 4,188,852,040 → 5,236,065,140 — unresolved within range

Continued fraction of √n

√1,055,376 = [1027; (3, 5, 1, 2, 2, 4, 14, 7, 25, 1, 1, 5, 1, 1, 7, 82, 19, 82, 7, 1, 1, 5, 1, 1, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one million fifty-five thousand three hundred seventy-six
Ordinal
1055376th
Binary
100000001101010010000
Octal
4015220
Hexadecimal
0x101A90
Base64
EBqQ
One's complement
4,293,911,919 (32-bit)
Scientific notation
1.055376 × 10⁶
As a duration
1,055,376 s = 12 days, 5 hours, 9 minutes, 36 seconds
In other bases
ternary (3) 1222121201000
quaternary (4) 10001222100
quinary (5) 232233001
senary (6) 34342000
septenary (7) 11653620
nonary (9) 1877630
undecimal (11) 660a13
duodecimal (12) 42a900
tridecimal (13) 2ac4aa
tetradecimal (14) 1d6880
pentadecimal (15) 15ca86

As an angle

1,055,376° = 2,931 × 360° + 216°
216° ≈ 3.77 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬五千三百七十六
Chinese (financial)
壹佰零伍萬伍仟參佰柒拾陸
In other modern scripts
Eastern Arabic ١٠٥٥٣٧٦ Devanagari १०५५३७६ Bengali ১০৫৫৩৭৬ Tamil ௧௦௫௫௩௭௬ Thai ๑๐๕๕๓๗๖ Tibetan ༡༠༥༥༣༧༦ Khmer ១០៥៥៣៧៦ Lao ໑໐໕໕໓໗໖ Burmese ၁၀၅၅၃၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1055376, here are decompositions:

  • 5 + 1055371 = 1055376
  • 13 + 1055363 = 1055376
  • 17 + 1055359 = 1055376
  • 29 + 1055347 = 1055376
  • 73 + 1055303 = 1055376
  • 107 + 1055269 = 1055376
  • 109 + 1055267 = 1055376
  • 233 + 1055143 = 1055376

Showing the first eight; more decompositions exist.

Hex color
#101A90
RGB(16, 26, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.26.144.

Address
0.16.26.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.26.144

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 5, 5376 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 5376-05-01 (DMMYYYY (Euro, single-digit day))
  • 5376-10-05 (MMDYYYY (US, single-digit day))
  • 5376-05-10 (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 1,055,376 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°.