Live analysis

1,008,220

1,008,220 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.).

1,008,220 (one million eight thousand two hundred twenty) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 50,411. Its proper divisors sum to 1,109,084, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF625C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,008,208 1,008,209 1,008,210 1,008,211 1,008,212 1,008,213 1,008,214 1,008,215 1,008,216 1,008,217 1,008,218 1,008,219 1,008,220 1,008,221 1,008,222 1,008,223 1,008,224 1,008,225 1,008,226 1,008,227 1,008,228 1,008,229 1,008,230 1,008,231 1,008,232

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 228,001
Recamán's sequence: a(349,011) = 1,008,220
Square (n²): 1,016,507,568,400
Cube (n³): 1,024,863,260,612,248,000
Divisor count: 12
σ(n) — sum of divisors: 2,117,304
φ(n) — Euler's totient: 403,280
Sum of prime factors: 50,420

Primality

Prime factorization: 2 ² × 5 × 50411

Nearest primes: 1,008,209 (−11) · 1,008,223 (+3)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 50411 · 100822 · 201644 · 252055 · 504110 (half) · 1008220

Aliquot sum (sum of proper divisors): 1,109,084

Factor pairs (a × b = 1,008,220)

1 × 1008220

2 × 504110

4 × 252055

5 × 201644

10 × 100822

20 × 50411

First multiples

1,008,220 · 2,016,440 (double) · 3,024,660 · 4,032,880 · 5,041,100 · 6,049,320 · 7,057,540 · 8,065,760 · 9,073,980 · 10,082,200

Sums & aliquot sequence

As consecutive integers: 201,642 + 201,643 + 201,644 + 201,645 + 201,646 126,024 + 126,025 + … + 126,031 25,186 + 25,187 + … + 25,225

Aliquot sequence: 1,008,220 → 1,109,084 → 843,916 → 697,316 → 522,994 → 302,846 → 151,426 → 96,398 → 49,594 → 25,754 → 13,606 → 6,806 → 3,778 → 1,892 → 1,804 → 1,724 → 1,300 — unresolved within range

Continued fraction of √n

√1,008,220 = [1004; (9, 1, 5, 2, 1, 1, 7, 1, 10, 1, 6, 6, 2, 3, 1, 1, 1, 4, 3, 7, 3, 2, 1, 1, …)]

Representations

In words: one million eight thousand two hundred twenty
Ordinal: 1008220th
Binary: 11110110001001011100
Octal: 3661134
Hexadecimal: 0xF625C
Base64: D2Jc
One's complement: 4,293,959,075 (32-bit)
Scientific notation: 1.00822 × 10⁶
As a duration: 1,008,220 s = 11 days, 16 hours, 3 minutes, 40 seconds

In other bases

ternary (3) 1220020000111

quaternary (4) 3312021130

quinary (5) 224230340

senary (6) 33335404

septenary (7) 11366263

nonary (9) 1806014

undecimal (11) 629544

duodecimal (12) 407564

tridecimal (13) 293ba5

tetradecimal (14) 1c35da

pentadecimal (15) 14daea

As an angle

1,008,220° = 2,800 × 360° + 220°

220° ≈ 3.84 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆
Chinese: 一百萬八千二百二十
Chinese (financial): 壹佰萬捌仟貳佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٨٢٢٠ Devanagari १००८२२० Bengali ১০০৮২২০ Tamil ௧௦௦௮௨௨௦ Thai ๑๐๐๘๒๒๐ Tibetan ༡༠༠༨༢༢༠ Khmer ១០០៨២២០ Lao ໑໐໐໘໒໒໐ Burmese ၁၀၀၈၂၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008220, here are decompositions:

11 + 1008209 = 1008220
89 + 1008131 = 1008220
179 + 1008041 = 1008220
263 + 1007957 = 1008220
281 + 1007939 = 1008220
347 + 1007873 = 1008220
359 + 1007861 = 1008220
401 + 1007819 = 1008220

Showing the first eight; more decompositions exist.

Hex color

#0F625C

RGB(15, 98, 92)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.98.92.

Address: 0.15.98.92
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.98.92

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 1,008,220 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 US1,008,220 on Google Patents ↗ Look up on USPTO ↗