Live analysis

1,027,104

1,027,104 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.).

1,027,104 (one million twenty-seven thousand one hundred four) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 13 × 823. Its proper divisors sum to 1,879,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFAC20.

Abundant Number Arithmetic Number Odious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,027,092 1,027,093 1,027,094 1,027,095 1,027,096 1,027,097 1,027,098 1,027,099 1,027,100 1,027,101 1,027,102 1,027,103 1,027,104 1,027,105 1,027,106 1,027,107 1,027,108 1,027,109 1,027,110 1,027,111 1,027,112 1,027,113 1,027,114 1,027,115 1,027,116

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 4,017,201
Square (n²): 1,054,942,626,816
Cube (n³): 1,083,535,791,773,220,864
Divisor count: 48
σ(n) — sum of divisors: 2,907,072
φ(n) — Euler's totient: 315,648
Sum of prime factors: 849

Primality

Prime factorization: 2 ⁵ × 3 × 13 × 823

Nearest primes: 1,027,097 (−7) · 1,027,127 (+23)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 16 · 24 · 26 · 32 · 39 · 48 · 52 · 78 · 96 · 104 · 156 · 208 · 312 · 416 · 624 · 823 · 1248 · 1646 · 2469 · 3292 · 4938 · 6584 · 9876 · 10699 · 13168 · 19752 · 21398 · 26336 · 32097 · 39504 · 42796 · 64194 · 79008 · 85592 · 128388 · 171184 · 256776 · 342368 · 513552 (half) · 1027104

Aliquot sum (sum of proper divisors): 1,879,968

Factor pairs (a × b = 1,027,104)

1 × 1027104

2 × 513552

3 × 342368

4 × 256776

6 × 171184

8 × 128388

12 × 85592

13 × 79008

16 × 64194

24 × 42796

26 × 39504

32 × 32097

39 × 26336

48 × 21398

52 × 19752

78 × 13168

96 × 10699

104 × 9876

156 × 6584

208 × 4938

312 × 3292

416 × 2469

624 × 1646

823 × 1248

First multiples

1,027,104 · 2,054,208 (double) · 3,081,312 · 4,108,416 · 5,135,520 · 6,162,624 · 7,189,728 · 8,216,832 · 9,243,936 · 10,271,040

Sums & aliquot sequence

As consecutive integers: 342,367 + 342,368 + 342,369 79,002 + 79,003 + … + 79,014 26,317 + 26,318 + … + 26,355 16,017 + 16,018 + … + 16,080

Aliquot sequence: 1,027,104 → 1,879,968 → 3,055,200 → 7,569,120 → 18,128,832 → 29,837,544 → 51,538,296 → 77,307,504 → 148,868,496 → 365,384,304 → 689,682,096 → 1,243,379,944 → 1,088,355,356 → 989,414,044 → 743,850,524 → 591,714,196 → 444,025,152 — unresolved within range

Continued fraction of √n

√1,027,104 = [1013; (2, 5, 1, 40, 1, 1, 12, 4, 7, 2, 6, 20, 8, 1, 2, 1, 1, 1, 2, 1, 9, 1, 7, 1, …)]

Representations

In words: one million twenty-seven thousand one hundred four
Ordinal: 1027104th
Binary: 11111010110000100000
Octal: 3726040
Hexadecimal: 0xFAC20
Base64: D6wg
One's complement: 4,293,940,191 (32-bit)
Scientific notation: 1.027104 × 10⁶
As a duration: 1,027,104 s = 11 days, 21 hours, 18 minutes, 24 seconds

In other bases

ternary (3) 1221011220220

quaternary (4) 3322300200

quinary (5) 230331404

senary (6) 34003040

septenary (7) 11505321

nonary (9) 1834826

undecimal (11) 641751

duodecimal (12) 416480

tridecimal (13) 29c670

tetradecimal (14) 1ca448

pentadecimal (15) 1544d9

As an angle

1,027,104° = 2,853 × 360° + 24°

24° ≈ 0.419 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Chinese: 一百零二萬七千一百零四
Chinese (financial): 壹佰零貳萬柒仟壹佰零肆

In other modern scripts

Eastern Arabic ١٠٢٧١٠٤ Devanagari १०२७१०४ Bengali ১০২৭১০৪ Tamil ௧௦௨௭௧௦௪ Thai ๑๐๒๗๑๐๔ Tibetan ༡༠༢༧༡༠༤ Khmer ១០២៧១០៤ Lao ໑໐໒໗໑໐໔ Burmese ၁၀၂၇၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1027104, here are decompositions:

7 + 1027097 = 1027104
37 + 1027067 = 1027104
53 + 1027051 = 1027104
73 + 1027031 = 1027104
101 + 1027003 = 1027104
103 + 1027001 = 1027104
157 + 1026947 = 1027104
163 + 1026941 = 1027104

Showing the first eight; more decompositions exist.

Hex color

#0FAC20

RGB(15, 172, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.172.32.

Address: 0.15.172.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.172.32

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 2, 7104 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

7104-02-01 (DMMYYYY (Euro, single-digit day))
7104-10-02 (MMDYYYY (US, single-digit day))
7104-02-10 (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 1,027,104 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 US1,027,104 on Google Patents ↗ Look up on USPTO ↗