Live analysis

1,006,284

1,006,284 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.).

1,006,284 (one million six thousand two hundred eighty-four) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 83,857. Its proper divisors sum to 1,341,740, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5ACC.

Abundant Number Cube-Free Evil Number Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,006,272 1,006,273 1,006,274 1,006,275 1,006,276 1,006,277 1,006,278 1,006,279 1,006,280 1,006,281 1,006,282 1,006,283 1,006,284 1,006,285 1,006,286 1,006,287 1,006,288 1,006,289 1,006,290 1,006,291 1,006,292 1,006,293 1,006,294 1,006,295 1,006,296

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 4,826,001
Square (n²): 1,012,607,488,656
Cube (n³): 1,018,970,714,114,714,304
Divisor count: 12
σ(n) — sum of divisors: 2,348,024
φ(n) — Euler's totient: 335,424
Sum of prime factors: 83,864

Primality

Prime factorization: 2 ² × 3 × 83857

Nearest primes: 1,006,279 (−5) · 1,006,301 (+17)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 83857 · 167714 · 251571 · 335428 · 503142 (half) · 1006284

Aliquot sum (sum of proper divisors): 1,341,740

Factor pairs (a × b = 1,006,284)

1 × 1006284

2 × 503142

3 × 335428

4 × 251571

6 × 167714

12 × 83857

First multiples

1,006,284 · 2,012,568 (double) · 3,018,852 · 4,025,136 · 5,031,420 · 6,037,704 · 7,043,988 · 8,050,272 · 9,056,556 · 10,062,840

Sums & aliquot sequence

As consecutive integers: 335,427 + 335,428 + 335,429 125,782 + 125,783 + … + 125,789 41,917 + 41,918 + … + 41,940

Aliquot sequence: 1,006,284 → 1,341,740 → 1,517,620 → 1,941,080 → 2,426,440 → 3,033,140 → 4,333,324 → 3,317,900 → 3,882,160 → 5,144,048 → 7,126,000 → 12,604,880 → 16,701,652 → 16,048,268 → 12,036,208 → 11,283,976 → 11,973,734 — unresolved within range

Continued fraction of √n

√1,006,284 = [1003; (7, 3, 2, 1, 1, 3, 6, 1, 3, 1, 1, 1, 250, 7, 28, 8, 1, 2, 1, 1, 1, 3, 1, 500, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words: one million six thousand two hundred eighty-four
Ordinal: 1006284th
Binary: 11110101101011001100
Octal: 3655314
Hexadecimal: 0xF5ACC
Base64: D1rM
One's complement: 4,293,961,011 (32-bit)
Scientific notation: 1.006284 × 10⁶
As a duration: 1,006,284 s = 11 days, 15 hours, 31 minutes, 24 seconds

In other bases

ternary (3) 1220010100210

quaternary (4) 3311223030

quinary (5) 224200114

senary (6) 33322420

septenary (7) 11360526

nonary (9) 1803323

undecimal (11) 628044

duodecimal (12) 406410

tridecimal (13) 293046

tetradecimal (14) 1c2a16

pentadecimal (15) 14d259

As an angle

1,006,284° = 2,795 × 360° + 84°

84° ≈ 1.466 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬六千二百八十四
Chinese (financial): 壹佰萬陸仟貳佰捌拾肆

In other modern scripts

Eastern Arabic ١٠٠٦٢٨٤ Devanagari १००६२८४ Bengali ১০০৬২৮৪ Tamil ௧௦௦௬௨௮௪ Thai ๑๐๐๖๒๘๔ Tibetan ༡༠༠༦༢༨༤ Khmer ១០០៦២៨៤ Lao ໑໐໐໖໒໘໔ Burmese ၁၀၀၆၂၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006284, here are decompositions:

5 + 1006279 = 1006284
17 + 1006267 = 1006284
31 + 1006253 = 1006284
43 + 1006241 = 1006284
47 + 1006237 = 1006284
53 + 1006231 = 1006284
67 + 1006217 = 1006284
107 + 1006177 = 1006284

Showing the first eight; more decompositions exist.

Hex color

#0F5ACC

RGB(15, 90, 204)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.90.204.

Address: 0.15.90.204
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.90.204

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 1,006,284 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 US1,006,284 on Google Patents ↗ Look up on USPTO ↗