Live analysis

1,007,082

1,007,082 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.).

1,007,082 (one million seven thousand eighty-two) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 55,949. Its proper divisors sum to 1,174,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5DEA.

Abundant Number Cube-Free Evil Number Harshad / Niven Moran Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,007,070 1,007,071 1,007,072 1,007,073 1,007,074 1,007,075 1,007,076 1,007,077 1,007,078 1,007,079 1,007,080 1,007,081 1,007,082 1,007,083 1,007,084 1,007,085 1,007,086 1,007,087 1,007,088 1,007,089 1,007,090 1,007,091 1,007,092 1,007,093 1,007,094

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 2,807,001
Square (n²): 1,014,214,154,724
Cube (n³): 1,021,396,819,367,755,368
Divisor count: 12
σ(n) — sum of divisors: 2,182,050
φ(n) — Euler's totient: 335,688
Sum of prime factors: 55,957

Primality

Prime factorization: 2 × 3 ² × 55949

Nearest primes: 1,007,081 (−1) · 1,007,089 (+7)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 9 · 18 · 55949 · 111898 · 167847 · 335694 · 503541 (half) · 1007082

Aliquot sum (sum of proper divisors): 1,174,968

Factor pairs (a × b = 1,007,082)

1 × 1007082

2 × 503541

3 × 335694

6 × 167847

9 × 111898

18 × 55949

First multiples

1,007,082 · 2,014,164 (double) · 3,021,246 · 4,028,328 · 5,035,410 · 6,042,492 · 7,049,574 · 8,056,656 · 9,063,738 · 10,070,820

Sums & aliquot sequence

As a sum of two squares: 261² + 969²

As consecutive integers: 335,693 + 335,694 + 335,695 251,769 + 251,770 + 251,771 + 251,772 111,894 + 111,895 + … + 111,902 83,918 + 83,919 + … + 83,929

Aliquot sequence: 1,007,082 → 1,174,968 → 2,007,432 → 4,328,118 → 5,165,730 → 8,265,402 → 10,326,528 → 20,952,720 → 49,415,916 → 77,326,700 → 105,729,292 → 79,296,976 → 98,861,264 → 92,897,296 → 87,091,246 → 55,831,634 → 28,189,534 — unresolved within range

Continued fraction of √n

√1,007,082 = [1003; (1, 1, 6, 1, 2, 3, 1, 3, 1, 1, 3, 2, 1, 4, 1, 2, 1, 9, 1, 1, 1, 18, 3, 1, …)]

Representations

In words: one million seven thousand eighty-two
Ordinal: 1007082nd
Binary: 11110101110111101010
Octal: 3656752
Hexadecimal: 0xF5DEA
Base64: D13q
One's complement: 4,293,960,213 (32-bit)
Scientific notation: 1.007082 × 10⁶
As a duration: 1,007,082 s = 11 days, 15 hours, 44 minutes, 42 seconds

In other bases

ternary (3) 1220011110100

quaternary (4) 3311313222

quinary (5) 224211312

senary (6) 33330230

septenary (7) 11363046

nonary (9) 1804410

undecimal (11) 6286aa

duodecimal (12) 406976

tridecimal (13) 29350b

tetradecimal (14) 1c3026

pentadecimal (15) 14d5dc

As an angle

1,007,082° = 2,797 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬七千零八十二
Chinese (financial): 壹佰萬柒仟零捌拾貳

In other modern scripts

Eastern Arabic ١٠٠٧٠٨٢ Devanagari १००७०८२ Bengali ১০০৭০৮২ Tamil ௧௦௦௭௦௮௨ Thai ๑๐๐๗๐๘๒ Tibetan ༡༠༠༧༠༨༢ Khmer ១០០៧០៨២ Lao ໑໐໐໗໐໘໒ Burmese ၁၀၀၇၀၈၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007082, here are decompositions:

23 + 1007059 = 1007082
59 + 1007023 = 1007082
61 + 1007021 = 1007082
103 + 1006979 = 1007082
113 + 1006969 = 1007082
149 + 1006933 = 1007082
191 + 1006891 = 1007082
199 + 1006883 = 1007082

Showing the first eight; more decompositions exist.

Hex color

#0F5DEA

RGB(15, 93, 234)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.93.234.

Address: 0.15.93.234
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.93.234

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 1,007,082 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 US1,007,082 on Google Patents ↗ Look up on USPTO ↗