Live analysis

1,006,820

1,006,820 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.).

1,006,820 (one million six thousand eight hundred twenty) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 50,341. Its proper divisors sum to 1,107,544, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5CE4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,006,808 1,006,809 1,006,810 1,006,811 1,006,812 1,006,813 1,006,814 1,006,815 1,006,816 1,006,817 1,006,818 1,006,819 1,006,820 1,006,821 1,006,822 1,006,823 1,006,824 1,006,825 1,006,826 1,006,827 1,006,828 1,006,829 1,006,830 1,006,831 1,006,832

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 286,001
Square (n²): 1,013,686,512,400
Cube (n³): 1,020,599,854,414,568,000
Divisor count: 12
σ(n) — sum of divisors: 2,114,364
φ(n) — Euler's totient: 402,720
Sum of prime factors: 50,350

Primality

Prime factorization: 2 ² × 5 × 50341

Nearest primes: 1,006,799 (−21) · 1,006,847 (+27)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 50341 · 100682 · 201364 · 251705 · 503410 (half) · 1006820

Aliquot sum (sum of proper divisors): 1,107,544

Factor pairs (a × b = 1,006,820)

1 × 1006820

2 × 503410

4 × 251705

5 × 201364

10 × 100682

20 × 50341

First multiples

1,006,820 · 2,013,640 (double) · 3,020,460 · 4,027,280 · 5,034,100 · 6,040,920 · 7,047,740 · 8,054,560 · 9,061,380 · 10,068,200

Sums & aliquot sequence

As a sum of two squares: 104² + 998² = 682² + 736²

As consecutive integers: 201,362 + 201,363 + 201,364 + 201,365 + 201,366 125,849 + 125,850 + … + 125,856 25,151 + 25,152 + … + 25,190

Aliquot sequence: 1,006,820 → 1,107,544 → 984,056 → 861,064 → 797,636 → 827,260 → 1,269,380 → 1,777,468 → 2,254,532 → 2,320,444 → 2,403,716 → 2,403,772 → 2,420,236 → 2,926,644 → 4,877,964 → 10,308,116 → 11,894,764 — unresolved within range

Continued fraction of √n

√1,006,820 = [1003; (2, 2, 9, 9, 64, 1, 1, 1, 2, 16, 4, 1, 3, 4, 1, 1, 3, 1, 1, 2, 6, 16, 36, 2, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words: one million six thousand eight hundred twenty
Ordinal: 1006820th
Binary: 11110101110011100100
Octal: 3656344
Hexadecimal: 0xF5CE4
Base64: D1zk
One's complement: 4,293,960,475 (32-bit)
Scientific notation: 1.00682 × 10⁶
As a duration: 1,006,820 s = 11 days, 15 hours, 40 minutes, 20 seconds

In other bases

ternary (3) 1220011002122

quaternary (4) 3311303210

quinary (5) 224204240

senary (6) 33325112

septenary (7) 11362223

nonary (9) 1804078

undecimal (11) 628491

duodecimal (12) 406798

tridecimal (13) 293369

tetradecimal (14) 1c2cba

pentadecimal (15) 14d4b5

As an angle

1,006,820° = 2,796 × 360° + 260°

260° ≈ 4.538 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百萬六千八百二十
Chinese (financial): 壹佰萬陸仟捌佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٦٨٢٠ Devanagari १००६८२० Bengali ১০০৬৮২০ Tamil ௧௦௦௬௮௨௦ Thai ๑๐๐๖๘๒๐ Tibetan ༡༠༠༦༨༢༠ Khmer ១០០៦៨២០ Lao ໑໐໐໖໘໒໐ Burmese ၁၀၀၆၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006820, here are decompositions:

37 + 1006783 = 1006820
109 + 1006711 = 1006820
211 + 1006609 = 1006820
277 + 1006543 = 1006820
307 + 1006513 = 1006820
313 + 1006507 = 1006820
349 + 1006471 = 1006820
379 + 1006441 = 1006820

Showing the first eight; more decompositions exist.

Hex color

#0F5CE4

RGB(15, 92, 228)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.92.228.

Address: 0.15.92.228
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.92.228

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 1,006,820 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 US1,006,820 on Google Patents ↗ Look up on USPTO ↗