Live analysis

1,006,220

1,006,220 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.).

1,006,220 (one million six thousand two hundred twenty) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 50,311. Its proper divisors sum to 1,106,884, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5A8C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,006,208 1,006,209 1,006,210 1,006,211 1,006,212 1,006,213 1,006,214 1,006,215 1,006,216 1,006,217 1,006,218 1,006,219 1,006,220 1,006,221 1,006,222 1,006,223 1,006,224 1,006,225 1,006,226 1,006,227 1,006,228 1,006,229 1,006,230 1,006,231 1,006,232

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 226,001
Square (n²): 1,012,478,688,400
Cube (n³): 1,018,776,305,841,848,000
Divisor count: 12
σ(n) — sum of divisors: 2,113,104
φ(n) — Euler's totient: 402,480
Sum of prime factors: 50,320

Primality

Prime factorization: 2 ² × 5 × 50311

Nearest primes: 1,006,219 (−1) · 1,006,231 (+11)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 50311 · 100622 · 201244 · 251555 · 503110 (half) · 1006220

Aliquot sum (sum of proper divisors): 1,106,884

Factor pairs (a × b = 1,006,220)

1 × 1006220

2 × 503110

4 × 251555

5 × 201244

10 × 100622

20 × 50311

First multiples

1,006,220 · 2,012,440 (double) · 3,018,660 · 4,024,880 · 5,031,100 · 6,037,320 · 7,043,540 · 8,049,760 · 9,055,980 · 10,062,200

Sums & aliquot sequence

As consecutive integers: 201,242 + 201,243 + 201,244 + 201,245 + 201,246 125,774 + 125,775 + … + 125,781 25,136 + 25,137 + … + 25,175

Aliquot sequence: 1,006,220 → 1,106,884 → 830,170 → 800,198 → 595,546 → 471,494 → 235,750 → 235,994 → 173,542 → 86,774 → 46,546 → 29,432 → 30,208 → 31,172 → 23,386 → 14,918 → 7,462 — unresolved within range

Continued fraction of √n

√1,006,220 = [1003; (9, 1, 1, 32, 2, 1, 3, 6, 3, 3, 1, 1, 1, 1, 1, 400, 1, 1, 1, 1, 1, 3, 3, 6, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: one million six thousand two hundred twenty
Ordinal: 1006220th
Binary: 11110101101010001100
Octal: 3655214
Hexadecimal: 0xF5A8C
Base64: D1qM
One's complement: 4,293,961,075 (32-bit)
Scientific notation: 1.00622 × 10⁶
As a duration: 1,006,220 s = 11 days, 15 hours, 30 minutes, 20 seconds

In other bases

ternary (3) 1220010021102

quaternary (4) 3311222030

quinary (5) 224144340

senary (6) 33322232

septenary (7) 11360405

nonary (9) 1803242

undecimal (11) 627a96

duodecimal (12) 406378

tridecimal (13) 292cc7

tetradecimal (14) 1c29ac

pentadecimal (15) 14d215

As an angle

1,006,220° = 2,795 × 360° + 20°

20° ≈ 0.349 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆
Chinese: 一百萬六千二百二十
Chinese (financial): 壹佰萬陸仟貳佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٦٢٢٠ Devanagari १००६२२० Bengali ১০০৬২২০ Tamil ௧௦௦௬௨௨௦ Thai ๑๐๐๖๒๒๐ Tibetan ༡༠༠༦༢༢༠ Khmer ១០០៦២២០ Lao ໑໐໐໖໒໒໐ Burmese ၁၀၀၆၂၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006220, here are decompositions:

3 + 1006217 = 1006220
31 + 1006189 = 1006220
43 + 1006177 = 1006220
67 + 1006153 = 1006220
73 + 1006147 = 1006220
97 + 1006123 = 1006220
157 + 1006063 = 1006220
199 + 1006021 = 1006220

Showing the first eight; more decompositions exist.

Hex color

#0F5A8C

RGB(15, 90, 140)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.90.140.

Address: 0.15.90.140
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.90.140

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 1,006,220 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 US1,006,220 on Google Patents ↗ Look up on USPTO ↗