Live analysis

1,053,104

1,053,104 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.).

1,053,104 (one million fifty-three thousand one hundred four) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 13 × 61 × 83. Its proper divisors sum to 1,207,168, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1011B0.

Abundant Number Evil Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,053,092 1,053,093 1,053,094 1,053,095 1,053,096 1,053,097 1,053,098 1,053,099 1,053,100 1,053,101 1,053,102 1,053,103 1,053,104 1,053,105 1,053,106 1,053,107 1,053,108 1,053,109 1,053,110 1,053,111 1,053,112 1,053,113 1,053,114 1,053,115 1,053,116

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 21 bits
Reversed: 4,013,501
Square (n²): 1,109,028,034,816
Cube (n³): 1,167,921,859,576,868,864
Divisor count: 40
σ(n) — sum of divisors: 2,260,272
φ(n) — Euler's totient: 472,320
Sum of prime factors: 165

Primality

Prime factorization: 2 ⁴ × 13 × 61 × 83

Nearest primes: 1,053,103 (−1) · 1,053,179 (+75)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 8 · 13 · 16 · 26 · 52 · 61 · 83 · 104 · 122 · 166 · 208 · 244 · 332 · 488 · 664 · 793 · 976 · 1079 · 1328 · 1586 · 2158 · 3172 · 4316 · 5063 · 6344 · 8632 · 10126 · 12688 · 17264 · 20252 · 40504 · 65819 · 81008 · 131638 · 263276 · 526552 (half) · 1053104

Aliquot sum (sum of proper divisors): 1,207,168

Factor pairs (a × b = 1,053,104)

1 × 1053104

2 × 526552

4 × 263276

8 × 131638

13 × 81008

16 × 65819

26 × 40504

52 × 20252

61 × 17264

83 × 12688

104 × 10126

122 × 8632

166 × 6344

208 × 5063

244 × 4316

332 × 3172

488 × 2158

664 × 1586

793 × 1328

976 × 1079

First multiples

1,053,104 · 2,106,208 (double) · 3,159,312 · 4,212,416 · 5,265,520 · 6,318,624 · 7,371,728 · 8,424,832 · 9,477,936 · 10,531,040

Sums & aliquot sequence

As consecutive integers: 81,002 + 81,003 + … + 81,014 32,894 + 32,895 + … + 32,925 17,234 + 17,235 + … + 17,294 12,647 + 12,648 + … + 12,729

Aliquot sequence: 1,053,104 → 1,207,168 → 1,197,992 → 1,048,258 → 536,894 → 315,874 → 194,426 → 97,216 → 134,432 → 130,294 → 65,150 → 56,122 → 35,750 → 42,874 → 31,214 → 15,610 → 16,646 — unresolved within range

Continued fraction of √n

√1,053,104 = [1026; (4, 1, 3, 1, 7, 81, 1, 30, 1, 1, 2, 2, 1, 7, 1, 2, 2, 1, 1, 30, 1, 81, 7, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: one million fifty-three thousand one hundred four
Ordinal: 1053104th
Binary: 100000001000110110000
Octal: 4010660
Hexadecimal: 0x1011B0
Base64: EBGw
One's complement: 4,293,914,191 (32-bit)
Scientific notation: 1.053104 × 10⁶
As a duration: 1,053,104 s = 12 days, 4 hours, 31 minutes, 44 seconds

In other bases

ternary (3) 1222111120212

quaternary (4) 10001012300

quinary (5) 232144404

senary (6) 34323252

septenary (7) 11644163

nonary (9) 1874525

undecimal (11) 65a238

duodecimal (12) 429528

tridecimal (13) 2ab450

tetradecimal (14) 1d5ada

pentadecimal (15) 15c06e

As an angle

1,053,104° = 2,925 × 360° + 104°

104° ≈ 1.815 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Chinese: 一百零五萬三千一百零四
Chinese (financial): 壹佰零伍萬參仟壹佰零肆

In other modern scripts

Eastern Arabic ١٠٥٣١٠٤ Devanagari १०५३१०४ Bengali ১০৫৩১০৪ Tamil ௧௦௫௩௧௦௪ Thai ๑๐๕๓๑๐๔ Tibetan ༡༠༥༣༡༠༤ Khmer ១០៥៣១០៤ Lao ໑໐໕໓໑໐໔ Burmese ၁၀၅၃၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1053104, here are decompositions:

7 + 1053097 = 1053104
37 + 1053067 = 1053104
43 + 1053061 = 1053104
97 + 1053007 = 1053104
211 + 1052893 = 1053104
223 + 1052881 = 1053104
307 + 1052797 = 1053104
337 + 1052767 = 1053104

Showing the first eight; more decompositions exist.

Hex color

#1011B0

RGB(16, 17, 176)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.17.176.

Address: 0.16.17.176
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.17.176

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 5, 3104 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

3104-05-01 (DMMYYYY (Euro, single-digit day))
3104-10-05 (MMDYYYY (US, single-digit day))
3104-05-10 (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 1,053,104 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 US1,053,104 on Google Patents ↗ Look up on USPTO ↗