number.wiki
Live analysis

1,049,104

1,049,104 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.).

1,049,104 (one million forty-nine thousand one hundred four) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 7 × 17 × 19 × 29. Its proper divisors sum to 1,629,296, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100210.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
21 bits
Reversed
4,019,401
Square (n²)
1,100,619,202,816
Cube (n³)
1,154,664,008,151,076,864
Divisor count
80
σ(n) — sum of divisors
2,678,400
φ(n) — Euler's totient
387,072
Sum of prime factors
80

Primality

Prime factorization: 2 4 × 7 × 17 × 19 × 29

Nearest primes: 1,049,101 (−3) · 1,049,117 (+13)

Divisors & multiples

All divisors (80)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 17 · 19 · 28 · 29 · 34 · 38 · 56 · 58 · 68 · 76 · 112 · 116 · 119 · 133 · 136 · 152 · 203 · 232 · 238 · 266 · 272 · 304 · 323 · 406 · 464 · 476 · 493 · 532 · 551 · 646 · 812 · 952 · 986 · 1064 · 1102 · 1292 · 1624 · 1904 · 1972 · 2128 · 2204 · 2261 · 2584 · 3248 · 3451 · 3857 · 3944 · 4408 · 4522 · 5168 · 6902 · 7714 · 7888 · 8816 · 9044 · 9367 · 13804 · 15428 · 18088 · 18734 · 27608 · 30856 · 36176 · 37468 · 55216 · 61712 · 65569 · 74936 · 131138 · 149872 · 262276 · 524552 (half) · 1049104
Aliquot sum (sum of proper divisors): 1,629,296
Factor pairs (a × b = 1,049,104)
1 × 1049104
2 × 524552
4 × 262276
7 × 149872
8 × 131138
14 × 74936
16 × 65569
17 × 61712
19 × 55216
28 × 37468
29 × 36176
34 × 30856
38 × 27608
56 × 18734
58 × 18088
68 × 15428
76 × 13804
112 × 9367
116 × 9044
119 × 8816
133 × 7888
136 × 7714
152 × 6902
203 × 5168
232 × 4522
238 × 4408
266 × 3944
272 × 3857
304 × 3451
323 × 3248
406 × 2584
464 × 2261
476 × 2204
493 × 2128
532 × 1972
551 × 1904
646 × 1624
812 × 1292
952 × 1102
986 × 1064
First multiples
1,049,104 · 2,098,208 (double) · 3,147,312 · 4,196,416 · 5,245,520 · 6,294,624 · 7,343,728 · 8,392,832 · 9,441,936 · 10,491,040

Sums & aliquot sequence

As consecutive integers: 149,869 + 149,870 + … + 149,875 61,704 + 61,705 + … + 61,720 55,207 + 55,208 + … + 55,225 36,162 + 36,163 + … + 36,190
Aliquot sequence: 1,049,104 1,629,296 1,569,904 1,965,584 1,842,766 1,123,778 569,662 284,834 189,502 101,810 81,466 77,798 55,594 54,134 27,070 21,674 10,840 — unresolved within range

Continued fraction of √n

√1,049,104 = [1024; (3, 1, 7, 3, 1, 1, 8, 8, 1, 81, 19, 1, 7, 11, 1, 226, 1, 2, 3, 1, 1, 4, 1, 16, …)]

Representations

In words
one million forty-nine thousand one hundred four
Ordinal
1049104th
Binary
100000000001000010000
Octal
4001020
Hexadecimal
0x100210
Base64
EAIQ
One's complement
4,293,918,191 (32-bit)
Scientific notation
1.049104 × 10⁶
As a duration
1,049,104 s = 12 days, 3 hours, 25 minutes, 4 seconds
In other bases
ternary (3) 1222022002201
quaternary (4) 10000020100
quinary (5) 232032404
senary (6) 34252544
septenary (7) 11626420
nonary (9) 1868081
undecimal (11) 657231
duodecimal (12) 427154
tridecimal (13) 2a9694
tetradecimal (14) 1d4480
pentadecimal (15) 15aca4

As an angle

1,049,104° = 2,914 × 360° + 64°
64° ≈ 1.117 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Chinese
一百零四萬九千一百零四
Chinese (financial)
壹佰零肆萬玖仟壹佰零肆
In other modern scripts
Eastern Arabic ١٠٤٩١٠٤ Devanagari १०४९१०४ Bengali ১০৪৯১০৪ Tamil ௧௦௪௯௧௦௪ Thai ๑๐๔๙๑๐๔ Tibetan ༡༠༤༩༡༠༤ Khmer ១០៤៩១០៤ Lao ໑໐໔໙໑໐໔ Burmese ၁၀၄၉၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1049104, here are decompositions:

  • 3 + 1049101 = 1049104
  • 11 + 1049093 = 1049104
  • 41 + 1049063 = 1049104
  • 47 + 1049057 = 1049104
  • 53 + 1049051 = 1049104
  • 113 + 1048991 = 1049104
  • 227 + 1048877 = 1049104
  • 257 + 1048847 = 1049104

Showing the first eight; more decompositions exist.

Hex color
#100210
RGB(16, 2, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.2.16.

Address
0.16.2.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.2.16

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 4, 9104 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 9104-04-01 (DMMYYYY (Euro, single-digit day))
  • 9104-10-04 (MMDYYYY (US, single-digit day))
  • 9104-04-10 (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 1,049,104 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°.