Live analysis

1,001,080

1,001,080 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.).

1,001,080 (one million one thousand eighty) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 29 × 863. Its proper divisors sum to 1,331,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4678.

Abundant Number Arithmetic Number Flippable Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,001,068 1,001,069 1,001,070 1,001,071 1,001,072 1,001,073 1,001,074 1,001,075 1,001,076 1,001,077 1,001,078 1,001,079 1,001,080 1,001,081 1,001,082 1,001,083 1,001,084 1,001,085 1,001,086 1,001,087 1,001,088 1,001,089 1,001,090 1,001,091 1,001,092

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 801,001
Flips to (rotate 180°): 801,001
Square (n²): 1,002,161,166,400
Cube (n³): 1,003,243,500,459,712,000
Divisor count: 32
σ(n) — sum of divisors: 2,332,800
φ(n) — Euler's totient: 386,176
Sum of prime factors: 903

Primality

Prime factorization: 2 ³ × 5 × 29 × 863

Nearest primes: 1,001,069 (−11) · 1,001,081 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 29 · 40 · 58 · 116 · 145 · 232 · 290 · 580 · 863 · 1160 · 1726 · 3452 · 4315 · 6904 · 8630 · 17260 · 25027 · 34520 · 50054 · 100108 · 125135 · 200216 · 250270 · 500540 (half) · 1001080

Aliquot sum (sum of proper divisors): 1,331,720

Factor pairs (a × b = 1,001,080)

1 × 1001080

2 × 500540

4 × 250270

5 × 200216

8 × 125135

10 × 100108

20 × 50054

29 × 34520

40 × 25027

58 × 17260

116 × 8630

145 × 6904

232 × 4315

290 × 3452

580 × 1726

863 × 1160

First multiples

1,001,080 · 2,002,160 (double) · 3,003,240 · 4,004,320 · 5,005,400 · 6,006,480 · 7,007,560 · 8,008,640 · 9,009,720 · 10,010,800

Sums & aliquot sequence

As consecutive integers: 200,214 + 200,215 + 200,216 + 200,217 + 200,218 62,560 + 62,561 + … + 62,575 34,506 + 34,507 + … + 34,534 12,474 + 12,475 + … + 12,553

Aliquot sequence: 1,001,080 → 1,331,720 → 1,929,340 → 2,701,412 → 2,701,468 → 3,346,532 → 3,415,132 → 3,713,444 → 3,713,500 → 5,564,132 → 5,564,188 → 6,151,012 → 6,151,068 → 13,642,524 → 26,717,796 → 53,922,204 → 101,853,780 — unresolved within range

Continued fraction of √n

√1,001,080 = [1000; (1, 1, 5, 1, 3, 2, 2, 16, 7, 1, 3, 1, 2, 6, 1, 3, 4, 2, 1, 1, 1, 1, 10, 1, …)]

Representations

In words: one million one thousand eighty
Ordinal: 1001080th
Binary: 11110100011001111000
Octal: 3643170
Hexadecimal: 0xF4678
Base64: D0Z4
One's complement: 4,293,966,215 (32-bit)
Scientific notation: 1.00108 × 10⁶
As a duration: 1,001,080 s = 11 days, 14 hours, 4 minutes, 40 seconds

In other bases

ternary (3) 1212212020001

quaternary (4) 3310121320

quinary (5) 224013310

senary (6) 33242344

septenary (7) 11336413

nonary (9) 1785201

undecimal (11) 624143

duodecimal (12) 4033b4

tridecimal (13) 290872

tetradecimal (14) 1c0b7a

pentadecimal (15) 14b93a

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬一千零八十
Chinese (financial): 壹佰萬壹仟零捌拾

In other modern scripts

Eastern Arabic ١٠٠١٠٨٠ Devanagari १००१०८० Bengali ১০০১০৮০ Tamil ௧௦௦௧௦௮௦ Thai ๑๐๐๑๐๘๐ Tibetan ༡༠༠༡༠༨༠ Khmer ១០០១០៨០ Lao ໑໐໐໑໐໘໐ Burmese ၁၀၀၁၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001080, here are decompositions:

11 + 1001069 = 1001080
53 + 1001027 = 1001080
107 + 1000973 = 1001080
149 + 1000931 = 1001080
173 + 1000907 = 1001080
191 + 1000889 = 1001080
233 + 1000847 = 1001080
251 + 1000829 = 1001080

Showing the first eight; more decompositions exist.

Hex color

#0F4678

RGB(15, 70, 120)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.120.

Address: 0.15.70.120
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.120

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 1,001,080 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 US1,001,080 on Google Patents ↗ Look up on USPTO ↗