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1,033,104

1,033,104 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.).

1,033,104 (one million thirty-three thousand one hundred four) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 21,523. Its proper divisors sum to 1,635,872, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFC390.

Abundant Number Evil Number Harshad / Niven Recamán's Sequence Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
4,013,301
Recamán's sequence
a(379,723) = 1,033,104
Square (n²)
1,067,303,874,816
Cube (n³)
1,102,635,902,287,908,864
Divisor count
20
σ(n) — sum of divisors
2,668,976
φ(n) — Euler's totient
344,352
Sum of prime factors
21,534

Primality

Prime factorization: 2 4 × 3 × 21523

Nearest primes: 1,033,099 (−5) · 1,033,127 (+23)

Divisors & multiples

All divisors (20)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 21523 · 43046 · 64569 · 86092 · 129138 · 172184 · 258276 · 344368 · 516552 (half) · 1033104
Aliquot sum (sum of proper divisors): 1,635,872
Factor pairs (a × b = 1,033,104)
1 × 1033104
2 × 516552
3 × 344368
4 × 258276
6 × 172184
8 × 129138
12 × 86092
16 × 64569
24 × 43046
48 × 21523
First multiples
1,033,104 · 2,066,208 (double) · 3,099,312 · 4,132,416 · 5,165,520 · 6,198,624 · 7,231,728 · 8,264,832 · 9,297,936 · 10,331,040

Sums & aliquot sequence

As consecutive integers: 344,367 + 344,368 + 344,369 32,269 + 32,270 + … + 32,300 10,714 + 10,715 + … + 10,809
Aliquot sequence: 1,033,104 1,635,872 2,134,048 2,756,894 1,998,562 1,136,948 852,718 457,682 228,844 271,124 296,044 307,636 307,692 713,748 1,261,932 2,162,580 5,148,780 — unresolved within range

Continued fraction of √n

√1,033,104 = [1016; (2, 2, 1, 1, 11, 1, 1, 2, 3, 2, 1, 7, 2, 7, 4, 1, 24, 1, 1, 1, 1, 7, 14, 2, …)]

Representations

In words
one million thirty-three thousand one hundred four
Ordinal
1033104th
Binary
11111100001110010000
Octal
3741620
Hexadecimal
0xFC390
Base64
D8OQ
One's complement
4,293,934,191 (32-bit)
Scientific notation
1.033104 × 10⁶
As a duration
1,033,104 s = 11 days, 22 hours, 58 minutes, 24 seconds
In other bases
ternary (3) 1221111011010
quaternary (4) 3330032100
quinary (5) 231024404
senary (6) 34050520
septenary (7) 11531652
nonary (9) 1844133
undecimal (11) 646206
duodecimal (12) 419a40
tridecimal (13) 2a2307
tetradecimal (14) 1cc6d2
pentadecimal (15) 156189

As an angle

1,033,104° = 2,869 × 360° + 264°
264° ≈ 4.608 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Chinese
一百零三萬三千一百零四
Chinese (financial)
壹佰零參萬參仟壹佰零肆
In other modern scripts
Eastern Arabic ١٠٣٣١٠٤ Devanagari १०३३१०४ Bengali ১০৩৩১০৪ Tamil ௧௦௩௩௧௦௪ Thai ๑๐๓๓๑๐๔ Tibetan ༡༠༣༣༡༠༤ Khmer ១០៣៣១០៤ Lao ໑໐໓໓໑໐໔ Burmese ၁၀၃၃၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1033104, here are decompositions:

  • 5 + 1033099 = 1033104
  • 41 + 1033063 = 1033104
  • 43 + 1033061 = 1033104
  • 47 + 1033057 = 1033104
  • 67 + 1033037 = 1033104
  • 71 + 1033033 = 1033104
  • 97 + 1033007 = 1033104
  • 103 + 1033001 = 1033104

Showing the first eight; more decompositions exist.

Hex color
#0FC390
RGB(15, 195, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.195.144.

Address
0.15.195.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.195.144

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 3, 3104 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3104-03-01 (DMMYYYY (Euro, single-digit day))
  • 3104-10-03 (MMDYYYY (US, single-digit day))
  • 3104-03-10 (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 1,033,104 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.