Live analysis

1,008,080

1,008,080 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.).

1,008,080 (one million eight thousand eighty) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 12,601. Its proper divisors sum to 1,335,892, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF61D0.

Abundant Number Evil Number Flippable Gapful Number Happy Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,008,068 1,008,069 1,008,070 1,008,071 1,008,072 1,008,073 1,008,074 1,008,075 1,008,076 1,008,077 1,008,078 1,008,079 1,008,080 1,008,081 1,008,082 1,008,083 1,008,084 1,008,085 1,008,086 1,008,087 1,008,088 1,008,089 1,008,090 1,008,091 1,008,092

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 808,001
Flips to (rotate 180°): 808,001
Recamán's sequence: a(349,291) = 1,008,080
Square (n²): 1,016,225,286,400
Cube (n³): 1,024,436,386,714,112,000
Divisor count: 20
σ(n) — sum of divisors: 2,343,972
φ(n) — Euler's totient: 403,200
Sum of prime factors: 12,614

Primality

Prime factorization: 2 ⁴ × 5 × 12601

Nearest primes: 1,008,043 (−37) · 1,008,101 (+21)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 12601 · 25202 · 50404 · 63005 · 100808 · 126010 · 201616 · 252020 · 504040 (half) · 1008080

Aliquot sum (sum of proper divisors): 1,335,892

Factor pairs (a × b = 1,008,080)

1 × 1008080

2 × 504040

4 × 252020

5 × 201616

8 × 126010

10 × 100808

16 × 63005

20 × 50404

40 × 25202

80 × 12601

First multiples

1,008,080 · 2,016,160 (double) · 3,024,240 · 4,032,320 · 5,040,400 · 6,048,480 · 7,056,560 · 8,064,640 · 9,072,720 · 10,080,800

Sums & aliquot sequence

As a sum of two squares: 8² + 1,004² = 596² + 808²

As consecutive integers: 201,614 + 201,615 + 201,616 + 201,617 + 201,618 31,487 + 31,488 + … + 31,518 6,221 + 6,222 + … + 6,380

Aliquot sequence: 1,008,080 → 1,335,892 → 1,001,926 → 570,806 → 291,034 → 145,520 → 216,064 → 217,900 → 255,160 → 319,040 → 441,436 → 331,084 → 292,980 → 573,900 → 1,087,452 → 1,732,148 → 1,574,764 — unresolved within range

Continued fraction of √n

√1,008,080 = [1004; (31, 2, 1, 1, 1, 30, 1, 3, 125, 3, 1, 30, 1, 1, 1, 2, 31, 2008)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words: one million eight thousand eighty
Ordinal: 1008080th
Binary: 11110110000111010000
Octal: 3660720
Hexadecimal: 0xF61D0
Base64: D2HQ
One's complement: 4,293,959,215 (32-bit)
Scientific notation: 1.00808 × 10⁶
As a duration: 1,008,080 s = 11 days, 16 hours, 1 minute, 20 seconds

In other bases

ternary (3) 1220012211022

quaternary (4) 3312013100

quinary (5) 224224310

senary (6) 33335012

septenary (7) 11366003

nonary (9) 1805738

undecimal (11) 629427

duodecimal (12) 407468

tridecimal (13) 293ac8

tetradecimal (14) 1c353a

pentadecimal (15) 14da55

As an angle

1,008,080° = 2,800 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬八千零八十
Chinese (financial): 壹佰萬捌仟零捌拾

In other modern scripts

Eastern Arabic ١٠٠٨٠٨٠ Devanagari १००८०८० Bengali ১০০৮০৮০ Tamil ௧௦௦௮௦௮௦ Thai ๑๐๐๘๐๘๐ Tibetan ༡༠༠༨༠༨༠ Khmer ១០០៨០៨០ Lao ໑໐໐໘໐໘໐ Burmese ၁၀၀၈၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008080, here are decompositions:

37 + 1008043 = 1008080
43 + 1008037 = 1008080
67 + 1008013 = 1008080
79 + 1008001 = 1008080
103 + 1007977 = 1008080
109 + 1007971 = 1008080
193 + 1007887 = 1008080
223 + 1007857 = 1008080

Showing the first eight; more decompositions exist.

Hex color

#0F61D0

RGB(15, 97, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.97.208.

Address: 0.15.97.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.97.208

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 1,008,080 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 US1,008,080 on Google Patents ↗ Look up on USPTO ↗