Live analysis

1,000,800

1,000,800 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.).

1,000,800 (one million eight hundred) is an even 7-digit number. It is a composite number with 108 divisors, and factors as 2⁵ × 3² × 5² × 139. Its proper divisors sum to 2,553,660, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4560.

Abundant Number Flippable Gapful Number Harshad / Niven Odious Number Practical Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,000,788 1,000,789 1,000,790 1,000,791 1,000,792 1,000,793 1,000,794 1,000,795 1,000,796 1,000,797 1,000,798 1,000,799 1,000,800 1,000,801 1,000,802 1,000,803 1,000,804 1,000,805 1,000,806 1,000,807 1,000,808 1,000,809 1,000,810 1,000,811 1,000,812

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 80,001
Flips to (rotate 180°): 80,001
Square (n²): 1,001,600,640,000
Cube (n³): 1,002,401,920,512,000,000
Divisor count: 108
σ(n) — sum of divisors: 3,554,460
φ(n) — Euler's totient: 264,960
Sum of prime factors: 165

Primality

Prime factorization: 2 ⁵ × 3 ² × 5 ² × 139

Nearest primes: 1,000,793 (−7) · 1,000,829 (+29)

Divisors & multiples

All divisors (108)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 25 · 30 · 32 · 36 · 40 · 45 · 48 · 50 · 60 · 72 · 75 · 80 · 90 · 96 · 100 · 120 · 139 · 144 · 150 · 160 · 180 · 200 · 225 · 240 · 278 · 288 · 300 · 360 · 400 · 417 · 450 · 480 · 556 · 600 · 695 · 720 · 800 · 834 · 900 · 1112 · 1200 · 1251 · 1390 · 1440 · 1668 · 1800 · 2085 · 2224 · 2400 · 2502 · 2780 · 3336 · 3475 · 3600 · 4170 · 4448 · 5004 · 5560 · 6255 · 6672 · 6950 · 7200 · 8340 · 10008 · 10425 · 11120 · 12510 · 13344 · 13900 · 16680 · 20016 · 20850 · 22240 · 25020 · 27800 · 31275 · 33360 · 40032 · 41700 · 50040 · 55600 · 62550 · 66720 · 83400 · 100080 · 111200 · 125100 · 166800 · 200160 · 250200 · 333600 · 500400 (half) · 1000800

Aliquot sum (sum of proper divisors): 2,553,660

Factor pairs (a × b = 1,000,800)

1 × 1000800

2 × 500400

3 × 333600

4 × 250200

5 × 200160

6 × 166800

8 × 125100

9 × 111200

10 × 100080

12 × 83400

15 × 66720

16 × 62550

18 × 55600

20 × 50040

24 × 41700

25 × 40032

30 × 33360

32 × 31275

36 × 27800

40 × 25020

45 × 22240

48 × 20850

50 × 20016

60 × 16680

72 × 13900

75 × 13344

80 × 12510

90 × 11120

96 × 10425

100 × 10008

120 × 8340

139 × 7200

144 × 6950

150 × 6672

160 × 6255

180 × 5560

200 × 5004

225 × 4448

240 × 4170

278 × 3600

288 × 3475

300 × 3336

360 × 2780

400 × 2502

417 × 2400

450 × 2224

480 × 2085

556 × 1800

600 × 1668

695 × 1440

720 × 1390

800 × 1251

834 × 1200

900 × 1112

First multiples

1,000,800 · 2,001,600 (double) · 3,002,400 · 4,003,200 · 5,004,000 · 6,004,800 · 7,005,600 · 8,006,400 · 9,007,200 · 10,008,000

Sums & aliquot sequence

As consecutive integers: 333,599 + 333,600 + 333,601 200,158 + 200,159 + 200,160 + 200,161 + 200,162 111,196 + 111,197 + … + 111,204 66,713 + 66,714 + … + 66,727

Aliquot sequence: 1,000,800 → 2,553,660 → 5,392,740 → 10,698,972 → 14,318,244 → 21,875,186 → 11,262,778 → 6,365,990 → 5,767,162 → 2,922,374 → 2,473,114 → 1,766,534 → 1,537,402 → 783,014 → 395,746 → 265,502 → 132,754 — unresolved within range

Continued fraction of √n

√1,000,800 = [1000; (2, 1, 1, 499, 1, 1, 2, 2000)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one million eight hundred
Ordinal: 1000800th
Binary: 11110100010101100000
Octal: 3642540
Hexadecimal: 0xF4560
Base64: D0Vg
One's complement: 4,293,966,495 (32-bit)
Scientific notation: 1.0008 × 10⁶
As a duration: 1,000,800 s = 11 days, 14 hours

In other bases

ternary (3) 1212211211200

quaternary (4) 3310111200

quinary (5) 224011200

senary (6) 33241200

septenary (7) 11335533

nonary (9) 1784750

undecimal (11) 623a09

duodecimal (12) 403200

tridecimal (13) 2906b8

tetradecimal (14) 1c0a1a

pentadecimal (15) 14b800

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · ·
Egyptian hieroglyphic: 𓁨𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Chinese: 一百萬零八百
Chinese (financial): 壹佰萬零捌佰

In other modern scripts

Eastern Arabic ١٠٠٠٨٠٠ Devanagari १०००८०० Bengali ১০০০৮০০ Tamil ௧௦௦௦௮௦௦ Thai ๑๐๐๐๘๐๐ Tibetan ༡༠༠༠༨༠༠ Khmer ១០០០៨០០ Lao ໑໐໐໐໘໐໐ Burmese ၁၀၀၀၈၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000800, here are decompositions:

7 + 1000793 = 1000800
23 + 1000777 = 1000800
37 + 1000763 = 1000800
79 + 1000721 = 1000800
103 + 1000697 = 1000800
109 + 1000691 = 1000800
131 + 1000669 = 1000800
149 + 1000651 = 1000800

Showing the first eight; more decompositions exist.

Hex color

#0F4560

RGB(15, 69, 96)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.69.96.

Address: 0.15.69.96
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.69.96

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 1,000,800 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 US1,000,800 on Google Patents ↗ Look up on USPTO ↗