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1,006,104

1,006,104 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.).

1,006,104 (one million six thousand one hundred four) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 11 × 37 × 103. Its proper divisors sum to 1,839,336, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5A18.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number 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
4,016,001
Square (n²)
1,012,245,258,816
Cube (n³)
1,018,424,003,875,812,864
Divisor count
64
σ(n) — sum of divisors
2,845,440
φ(n) — Euler's totient
293,760
Sum of prime factors
160

Primality

Prime factorization: 2 3 × 3 × 11 × 37 × 103

Nearest primes: 1,006,091 (−13) · 1,006,123 (+19)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 22 · 24 · 33 · 37 · 44 · 66 · 74 · 88 · 103 · 111 · 132 · 148 · 206 · 222 · 264 · 296 · 309 · 407 · 412 · 444 · 618 · 814 · 824 · 888 · 1133 · 1221 · 1236 · 1628 · 2266 · 2442 · 2472 · 3256 · 3399 · 3811 · 4532 · 4884 · 6798 · 7622 · 9064 · 9768 · 11433 · 13596 · 15244 · 22866 · 27192 · 30488 · 41921 · 45732 · 83842 · 91464 · 125763 · 167684 · 251526 · 335368 · 503052 (half) · 1006104
Aliquot sum (sum of proper divisors): 1,839,336
Factor pairs (a × b = 1,006,104)
1 × 1006104
2 × 503052
3 × 335368
4 × 251526
6 × 167684
8 × 125763
11 × 91464
12 × 83842
22 × 45732
24 × 41921
33 × 30488
37 × 27192
44 × 22866
66 × 15244
74 × 13596
88 × 11433
103 × 9768
111 × 9064
132 × 7622
148 × 6798
206 × 4884
222 × 4532
264 × 3811
296 × 3399
309 × 3256
407 × 2472
412 × 2442
444 × 2266
618 × 1628
814 × 1236
824 × 1221
888 × 1133
First multiples
1,006,104 · 2,012,208 (double) · 3,018,312 · 4,024,416 · 5,030,520 · 6,036,624 · 7,042,728 · 8,048,832 · 9,054,936 · 10,061,040

Sums & aliquot sequence

As consecutive integers: 335,367 + 335,368 + 335,369 91,459 + 91,460 + … + 91,469 62,874 + 62,875 + … + 62,889 30,472 + 30,473 + … + 30,504
Aliquot sequence: 1,006,104 1,839,336 2,796,024 6,535,176 9,802,824 14,821,176 22,368,984 38,638,056 58,187,544 87,281,376 200,377,632 447,024,480 1,172,000,928 2,344,003,872 4,878,138,720 14,691,253,920 — keeps growing

Continued fraction of √n

√1,006,104 = [1003; (21, 8, 1, 1, 2, 60, 2, 1, 1, 8, 21, 2006)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one million six thousand one hundred four
Ordinal
1006104th
Binary
11110101101000011000
Octal
3655030
Hexadecimal
0xF5A18
Base64
D1oY
One's complement
4,293,961,191 (32-bit)
Scientific notation
1.006104 × 10⁶
As a duration
1,006,104 s = 11 days, 15 hours, 28 minutes, 24 seconds
In other bases
ternary (3) 1220010010010
quaternary (4) 3311220120
quinary (5) 224143404
senary (6) 33321520
septenary (7) 11360151
nonary (9) 1803103
undecimal (11) 6279a0
duodecimal (12) 4062a0
tridecimal (13) 292c38
tetradecimal (14) 1c2928
pentadecimal (15) 14d189

As an angle

1,006,104° = 2,794 × 360° + 264°
264° ≈ 4.608 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Chinese
一百萬六千一百零四
Chinese (financial)
壹佰萬陸仟壹佰零肆
In other modern scripts
Eastern Arabic ١٠٠٦١٠٤ Devanagari १००६१०४ Bengali ১০০৬১০৪ Tamil ௧௦௦௬௧௦௪ Thai ๑๐๐๖๑๐๔ Tibetan ༡༠༠༦༡༠༤ Khmer ១០០៦១០៤ Lao ໑໐໐໖໑໐໔ Burmese ၁၀၀၆၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006104, here are decompositions:

  • 13 + 1006091 = 1006104
  • 17 + 1006087 = 1006104
  • 41 + 1006063 = 1006104
  • 67 + 1006037 = 1006104
  • 83 + 1006021 = 1006104
  • 97 + 1006007 = 1006104
  • 101 + 1006003 = 1006104
  • 167 + 1005937 = 1006104

Showing the first eight; more decompositions exist.

Hex color
#0F5A18
RGB(15, 90, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.90.24.

Address
0.15.90.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.90.24

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

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 1,006,104 and was likely granted around 1911.

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

Position in π

The digit sequence 1006104 first appears in π at position 191,276 of the decimal expansion (the 191,276ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

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