Live analysis

1,055,088

1,055,088 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.).

1,055,088 (one million fifty-five thousand eighty-eight) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 17 × 431. Its proper divisors sum to 2,078,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101970.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,055,076 1,055,077 1,055,078 1,055,079 1,055,080 1,055,081 1,055,082 1,055,083 1,055,084 1,055,085 1,055,086 1,055,087 1,055,088 1,055,089 1,055,090 1,055,091 1,055,092 1,055,093 1,055,094 1,055,095 1,055,096 1,055,097 1,055,098 1,055,099 1,055,100

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 27
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 21 bits
Reversed: 8,805,501
Square (n²): 1,113,210,687,744
Cube (n³): 1,174,535,238,110,441,472
Divisor count: 60
σ(n) — sum of divisors: 3,133,728
φ(n) — Euler's totient: 330,240
Sum of prime factors: 462

Primality

Prime factorization: 2 ⁴ × 3 ² × 17 × 431

Nearest primes: 1,055,083 (−5) · 1,055,113 (+25)

Divisors & multiples

All divisors (60)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 17 · 18 · 24 · 34 · 36 · 48 · 51 · 68 · 72 · 102 · 136 · 144 · 153 · 204 · 272 · 306 · 408 · 431 · 612 · 816 · 862 · 1224 · 1293 · 1724 · 2448 · 2586 · 3448 · 3879 · 5172 · 6896 · 7327 · 7758 · 10344 · 14654 · 15516 · 20688 · 21981 · 29308 · 31032 · 43962 · 58616 · 62064 · 65943 · 87924 · 117232 · 131886 · 175848 · 263772 · 351696 · 527544 (half) · 1055088

Aliquot sum (sum of proper divisors): 2,078,640

Factor pairs (a × b = 1,055,088)

1 × 1055088

2 × 527544

3 × 351696

4 × 263772

6 × 175848

8 × 131886

9 × 117232

12 × 87924

16 × 65943

17 × 62064

18 × 58616

24 × 43962

34 × 31032

36 × 29308

48 × 21981

51 × 20688

68 × 15516

72 × 14654

102 × 10344

136 × 7758

144 × 7327

153 × 6896

204 × 5172

272 × 3879

306 × 3448

408 × 2586

431 × 2448

612 × 1724

816 × 1293

862 × 1224

First multiples

1,055,088 · 2,110,176 (double) · 3,165,264 · 4,220,352 · 5,275,440 · 6,330,528 · 7,385,616 · 8,440,704 · 9,495,792 · 10,550,880

Sums & aliquot sequence

As consecutive integers: 351,695 + 351,696 + 351,697 117,228 + 117,229 + … + 117,236 62,056 + 62,057 + … + 62,072 32,956 + 32,957 + … + 32,987

Aliquot sequence: 1,055,088 → 2,078,640 → 4,904,544 → 8,255,904 → 13,416,096 → 24,081,504 → 40,338,768 → 67,466,832 → 107,581,488 → 223,873,488 → 404,385,780 → 736,831,500 → 1,461,338,292 → 2,149,027,404 → 2,889,140,724 → 4,732,844,556 → 7,334,447,604 — unresolved within range

Continued fraction of √n

√1,055,088 = [1027; (5, 1, 2, 1, 1, 2, 10, 2, 1, 2, 1, 1, 2, 6, 1, 1, 8, 16, 1, 6, 5, 4, 1, 1, …)]

Representations

In words: one million fifty-five thousand eighty-eight
Ordinal: 1055088th
Binary: 100000001100101110000
Octal: 4014560
Hexadecimal: 0x101970
Base64: EBlw
One's complement: 4,293,912,207 (32-bit)
Scientific notation: 1.055088 × 10⁶
As a duration: 1,055,088 s = 12 days, 5 hours, 4 minutes, 48 seconds

In other bases

ternary (3) 1222121022100

quaternary (4) 10001211300

quinary (5) 232230323

senary (6) 34340400

septenary (7) 11653026

nonary (9) 1877270

undecimal (11) 660781

duodecimal (12) 42a700

tridecimal (13) 2ac318

tetradecimal (14) 1d6716

pentadecimal (15) 15c943

As an angle

1,055,088° = 2,930 × 360° + 288°

288° ≈ 5.027 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零五萬五千零八十八
Chinese (financial): 壹佰零伍萬伍仟零捌拾捌

In other modern scripts

Eastern Arabic ١٠٥٥٠٨٨ Devanagari १०५५०८८ Bengali ১০৫৫০৮৮ Tamil ௧௦௫௫௦௮௮ Thai ๑๐๕๕๐๘๘ Tibetan ༡༠༥༥༠༨༨ Khmer ១០៥៥០៨៨ Lao ໑໐໕໕໐໘໘ Burmese ၁၀၅၅၀၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1055088, here are decompositions:

5 + 1055083 = 1055088
11 + 1055077 = 1055088
31 + 1055057 = 1055088
71 + 1055017 = 1055088
131 + 1054957 = 1055088
137 + 1054951 = 1055088
157 + 1054931 = 1055088
179 + 1054909 = 1055088

Showing the first eight; more decompositions exist.

Hex color

#101970

RGB(16, 25, 112)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.25.112.

Address: 0.16.25.112
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.25.112

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 5, 5088 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

5088-05-01 (DMMYYYY (Euro, single-digit day))
5088-10-05 (MMDYYYY (US, single-digit day))
5088-05-10 (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 1,055,088 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 US1,055,088 on Google Patents ↗ Look up on USPTO ↗