Live analysis

1,007,010

1,007,010 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.).

1,007,010 (one million seven thousand ten) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2 × 3² × 5 × 67 × 167. Its proper divisors sum to 1,666,206, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5DA2.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,006,998 1,006,999 1,007,000 1,007,001 1,007,002 1,007,003 1,007,004 1,007,005 1,007,006 1,007,007 1,007,008 1,007,009 1,007,010 1,007,011 1,007,012 1,007,013 1,007,014 1,007,015 1,007,016 1,007,017 1,007,018 1,007,019 1,007,020 1,007,021 1,007,022

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 107,001
Square (n²): 1,014,069,140,100
Cube (n³): 1,021,177,764,772,101,000
Divisor count: 48
σ(n) — sum of divisors: 2,673,216
φ(n) — Euler's totient: 262,944
Sum of prime factors: 247

Primality

Prime factorization: 2 × 3 ² × 5 × 67 × 167

Nearest primes: 1,006,991 (−19) · 1,007,021 (+11)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 5 · 6 · 9 · 10 · 15 · 18 · 30 · 45 · 67 · 90 · 134 · 167 · 201 · 334 · 335 · 402 · 501 · 603 · 670 · 835 · 1002 · 1005 · 1206 · 1503 · 1670 · 2010 · 2505 · 3006 · 3015 · 5010 · 6030 · 7515 · 11189 · 15030 · 22378 · 33567 · 55945 · 67134 · 100701 · 111890 · 167835 · 201402 · 335670 · 503505 (half) · 1007010

Aliquot sum (sum of proper divisors): 1,666,206

Factor pairs (a × b = 1,007,010)

1 × 1007010

2 × 503505

3 × 335670

5 × 201402

6 × 167835

9 × 111890

10 × 100701

15 × 67134

18 × 55945

30 × 33567

45 × 22378

67 × 15030

90 × 11189

134 × 7515

167 × 6030

201 × 5010

334 × 3015

335 × 3006

402 × 2505

501 × 2010

603 × 1670

670 × 1503

835 × 1206

1002 × 1005

First multiples

1,007,010 · 2,014,020 (double) · 3,021,030 · 4,028,040 · 5,035,050 · 6,042,060 · 7,049,070 · 8,056,080 · 9,063,090 · 10,070,100

Sums & aliquot sequence

As consecutive integers: 335,669 + 335,670 + 335,671 251,751 + 251,752 + 251,753 + 251,754 201,400 + 201,401 + 201,402 + 201,403 + 201,404 111,886 + 111,887 + … + 111,894

Aliquot sequence: 1,007,010 → 1,666,206 → 1,943,946 → 2,376,054 → 2,963,826 → 3,737,934 → 4,568,706 → 5,519,034 → 6,959,718 → 8,119,710 → 15,985,890 → 26,643,870 → 50,874,210 → 95,660,190 → 176,729,202 → 263,656,590 → 401,623,410 — unresolved within range

Continued fraction of √n

√1,007,010 = [1003; (2, 222, 2, 2006)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one million seven thousand ten
Ordinal: 1007010th
Binary: 11110101110110100010
Octal: 3656642
Hexadecimal: 0xF5DA2
Base64: D12i
One's complement: 4,293,960,285 (32-bit)
Scientific notation: 1.00701 × 10⁶
As a duration: 1,007,010 s = 11 days, 15 hours, 43 minutes, 30 seconds

In other bases

ternary (3) 1220011100200

quaternary (4) 3311312202

quinary (5) 224211020

senary (6) 33330030

septenary (7) 11362614

nonary (9) 1804320

undecimal (11) 628644

duodecimal (12) 406916

tridecimal (13) 293484

tetradecimal (14) 1c2db4

pentadecimal (15) 14d590

As an angle

1,007,010° = 2,797 × 360° + 90°

90° ≈ 1.571 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆
Chinese: 一百萬七千零一十
Chinese (financial): 壹佰萬柒仟零壹拾

In other modern scripts

Eastern Arabic ١٠٠٧٠١٠ Devanagari १००७०१० Bengali ১০০৭০১০ Tamil ௧௦௦௭௦௧௦ Thai ๑๐๐๗๐๑๐ Tibetan ༡༠༠༧༠༡༠ Khmer ១០០៧០១០ Lao ໑໐໐໗໐໑໐ Burmese ၁၀၀၇၀၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007010, here are decompositions:

19 + 1006991 = 1007010
23 + 1006987 = 1007010
31 + 1006979 = 1007010
41 + 1006969 = 1007010
61 + 1006949 = 1007010
73 + 1006937 = 1007010
113 + 1006897 = 1007010
127 + 1006883 = 1007010

Showing the first eight; more decompositions exist.

Hex color

#0F5DA2

RGB(15, 93, 162)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.93.162.

Address: 0.15.93.162
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.93.162

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 1,007,010 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 US1,007,010 on Google Patents ↗ Look up on USPTO ↗