Live analysis

1,006,800

1,006,800 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.).

1,006,800 (one million six thousand eight hundred) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3 × 5² × 839. Its proper divisors sum to 2,222,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5CD0.

Abundant Number Arithmetic Number Flippable Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,006,788 1,006,789 1,006,790 1,006,791 1,006,792 1,006,793 1,006,794 1,006,795 1,006,796 1,006,797 1,006,798 1,006,799 1,006,800 1,006,801 1,006,802 1,006,803 1,006,804 1,006,805 1,006,806 1,006,807 1,006,808 1,006,809 1,006,810 1,006,811 1,006,812

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 86,001
Flips to (rotate 180°): 89,001
Square (n²): 1,013,646,240,000
Cube (n³): 1,020,539,034,432,000,000
Divisor count: 60
σ(n) — sum of divisors: 3,228,960
φ(n) — Euler's totient: 268,160
Sum of prime factors: 860

Primality

Prime factorization: 2 ⁴ × 3 × 5 ² × 839

Nearest primes: 1,006,799 (−1) · 1,006,847 (+47)

Divisors & multiples

All divisors (60)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 25 · 30 · 40 · 48 · 50 · 60 · 75 · 80 · 100 · 120 · 150 · 200 · 240 · 300 · 400 · 600 · 839 · 1200 · 1678 · 2517 · 3356 · 4195 · 5034 · 6712 · 8390 · 10068 · 12585 · 13424 · 16780 · 20136 · 20975 · 25170 · 33560 · 40272 · 41950 · 50340 · 62925 · 67120 · 83900 · 100680 · 125850 · 167800 · 201360 · 251700 · 335600 · 503400 (half) · 1006800

Aliquot sum (sum of proper divisors): 2,222,160

Factor pairs (a × b = 1,006,800)

1 × 1006800

2 × 503400

3 × 335600

4 × 251700

5 × 201360

6 × 167800

8 × 125850

10 × 100680

12 × 83900

15 × 67120

16 × 62925

20 × 50340

24 × 41950

25 × 40272

30 × 33560

40 × 25170

48 × 20975

50 × 20136

60 × 16780

75 × 13424

80 × 12585

100 × 10068

120 × 8390

150 × 6712

200 × 5034

240 × 4195

300 × 3356

400 × 2517

600 × 1678

839 × 1200

First multiples

1,006,800 · 2,013,600 (double) · 3,020,400 · 4,027,200 · 5,034,000 · 6,040,800 · 7,047,600 · 8,054,400 · 9,061,200 · 10,068,000

Sums & aliquot sequence

As consecutive integers: 335,599 + 335,600 + 335,601 201,358 + 201,359 + 201,360 + 201,361 + 201,362 67,113 + 67,114 + … + 67,127 40,260 + 40,261 + … + 40,284

Aliquot sequence: 1,006,800 → 2,222,160 → 4,848,816 → 9,467,728 → 8,997,732 → 13,965,208 → 12,378,872 → 13,126,408 → 11,553,572 → 8,844,904 → 7,739,306 → 3,869,656 → 4,620,584 → 4,043,026 → 2,488,058 → 1,244,032 → 1,234,568 — unresolved within range

Continued fraction of √n

√1,006,800 = [1003; (2, 1, 1, 6, 2, 1, 9, 1, 4, 1, 2, 6, 4, 31, 8, 1, 1, 1, 9, 5, 2, 5, 9, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words: one million six thousand eight hundred
Ordinal: 1006800th
Binary: 11110101110011010000
Octal: 3656320
Hexadecimal: 0xF5CD0
Base64: D1zQ
One's complement: 4,293,960,495 (32-bit)
Scientific notation: 1.0068 × 10⁶
As a duration: 1,006,800 s = 11 days, 15 hours, 40 minutes

In other bases

ternary (3) 1220011001220

quaternary (4) 3311303100

quinary (5) 224204200

senary (6) 33325040

septenary (7) 11362164

nonary (9) 1804056

undecimal (11) 628473

duodecimal (12) 406780

tridecimal (13) 293352

tetradecimal (14) 1c2ca4

pentadecimal (15) 14d4a0

As an angle

1,006,800° = 2,796 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Chinese: 一百萬六千八百
Chinese (financial): 壹佰萬陸仟捌佰

In other modern scripts

Eastern Arabic ١٠٠٦٨٠٠ Devanagari १००६८०० Bengali ১০০৬৮০০ Tamil ௧௦௦௬௮௦௦ Thai ๑๐๐๖๘๐๐ Tibetan ༡༠༠༦༨༠༠ Khmer ១០០៦៨០០ Lao ໑໐໐໖໘໐໐ Burmese ၁၀၀၆၈၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006800, here are decompositions:

17 + 1006783 = 1006800
19 + 1006781 = 1006800
31 + 1006769 = 1006800
61 + 1006739 = 1006800
79 + 1006721 = 1006800
89 + 1006711 = 1006800
149 + 1006651 = 1006800
163 + 1006637 = 1006800

Showing the first eight; more decompositions exist.

Hex color

#0F5CD0

RGB(15, 92, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.92.208.

Address: 0.15.92.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.92.208

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 1,006,800 and was likely granted around 1911.

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

Look up US1,006,800 on Google Patents ↗ Look up on USPTO ↗