Live analysis

1,001,820

1,001,820 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.).

1,001,820 (one million one thousand eight hundred twenty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 59 × 283. Its proper divisors sum to 1,860,900, more than the number itself, making it an abundant number. It is the 1,415th triangular number. Written other ways, in hexadecimal, 0xF495C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Harshad / Niven Hexagonal Odious Number Pernicious Number Practical Number Semiperfect Number Triangular

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

1,001,808 1,001,809 1,001,810 1,001,811 1,001,812 1,001,813 1,001,814 1,001,815 1,001,816 1,001,817 1,001,818 1,001,819 1,001,820 1,001,821 1,001,822 1,001,823 1,001,824 1,001,825 1,001,826 1,001,827 1,001,828 1,001,829 1,001,830 1,001,831 1,001,832

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 281,001
Square (n²): 1,003,643,312,400
Cube (n³): 1,005,469,943,228,568,000
Divisor count: 48
σ(n) — sum of divisors: 2,862,720
φ(n) — Euler's totient: 261,696
Sum of prime factors: 354

Primality

Prime factorization: 2 ² × 3 × 5 × 59 × 283

Nearest primes: 1,001,809 (−11) · 1,001,821 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 59 · 60 · 118 · 177 · 236 · 283 · 295 · 354 · 566 · 590 · 708 · 849 · 885 · 1132 · 1180 · 1415 · 1698 · 1770 · 2830 · 3396 · 3540 · 4245 · 5660 · 8490 · 16697 · 16980 · 33394 · 50091 · 66788 · 83485 · 100182 · 166970 · 200364 · 250455 · 333940 · 500910 (half) · 1001820

Aliquot sum (sum of proper divisors): 1,860,900

Factor pairs (a × b = 1,001,820)

1 × 1001820

2 × 500910

3 × 333940

4 × 250455

5 × 200364

6 × 166970

10 × 100182

12 × 83485

15 × 66788

20 × 50091

30 × 33394

59 × 16980

60 × 16697

118 × 8490

177 × 5660

236 × 4245

283 × 3540

295 × 3396

354 × 2830

566 × 1770

590 × 1698

708 × 1415

849 × 1180

885 × 1132

First multiples

1,001,820 · 2,003,640 (double) · 3,005,460 · 4,007,280 · 5,009,100 · 6,010,920 · 7,012,740 · 8,014,560 · 9,016,380 · 10,018,200

Sums & aliquot sequence

As consecutive integers: 333,939 + 333,940 + 333,941 200,362 + 200,363 + 200,364 + 200,365 + 200,366 125,224 + 125,225 + … + 125,231 66,781 + 66,782 + … + 66,795

Aliquot sequence: 1,001,820 → 1,860,900 → 3,524,172 → 4,698,924 → 6,376,644 → 10,294,010 → 10,364,230 → 9,219,770 → 9,746,758 → 7,212,986 → 4,792,294 → 3,523,706 → 1,761,856 → 1,734,454 → 867,230 → 1,056,034 → 754,334 — unresolved within range

Continued fraction of √n

√1,001,820 = [1000; (1, 10, 16, 1, 1, 2, 4, 500, 4, 2, 1, 1, 16, 10, 1, 2000)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one million one thousand eight hundred twenty
Ordinal: 1001820th
Binary: 11110100100101011100
Octal: 3644534
Hexadecimal: 0xF495C
Base64: D0lc
One's complement: 4,293,965,475 (32-bit)
Scientific notation: 1.00182 × 10⁶
As a duration: 1,001,820 s = 11 days, 14 hours, 17 minutes

In other bases

ternary (3) 1212220020110

quaternary (4) 3310211130

quinary (5) 224024240

senary (6) 33250020

septenary (7) 11341521

nonary (9) 1786213

undecimal (11) 624756

duodecimal (12) 403910

tridecimal (13) 290cc1

tetradecimal (14) 1c1148

pentadecimal (15) 14bc80

As an angle

1,001,820° = 2,782 × 360° + 300°

300° ≈ 5.236 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百萬一千八百二十
Chinese (financial): 壹佰萬壹仟捌佰貳拾

In other modern scripts

Eastern Arabic ١٠٠١٨٢٠ Devanagari १००१८२० Bengali ১০০১৮২০ Tamil ௧௦௦௧௮௨௦ Thai ๑๐๐๑๘๒๐ Tibetan ༡༠༠༡༨༢༠ Khmer ១០០១៨២០ Lao ໑໐໐໑໘໒໐ Burmese ၁၀၀၁၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001820, here are decompositions:

11 + 1001809 = 1001820
13 + 1001807 = 1001820
19 + 1001801 = 1001820
23 + 1001797 = 1001820
37 + 1001783 = 1001820
97 + 1001723 = 1001820
107 + 1001713 = 1001820
137 + 1001683 = 1001820

Showing the first eight; more decompositions exist.

Hex color

#0F495C

RGB(15, 73, 92)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.73.92.

Address: 0.15.73.92
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.73.92

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 1,001,820 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 US1,001,820 on Google Patents ↗ Look up on USPTO ↗