Live analysis

1,004,010

1,004,010 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.).

1,004,010 (one million four thousand ten) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2 × 3 × 5 × 7² × 683. Its proper divisors sum to 1,803,126, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF51EA.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 104,001
Square (n²): 1,008,036,080,100
Cube (n³): 1,012,078,304,781,201,000
Divisor count: 48
σ(n) — sum of divisors: 2,807,136
φ(n) — Euler's totient: 229,152
Sum of prime factors: 707

Primality

Prime factorization: 2 × 3 × 5 × 7 ² × 683

Nearest primes: 1,003,963 (−47) · 1,004,027 (+17)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 5 · 6 · 7 · 10 · 14 · 15 · 21 · 30 · 35 · 42 · 49 · 70 · 98 · 105 · 147 · 210 · 245 · 294 · 490 · 683 · 735 · 1366 · 1470 · 2049 · 3415 · 4098 · 4781 · 6830 · 9562 · 10245 · 14343 · 20490 · 23905 · 28686 · 33467 · 47810 · 66934 · 71715 · 100401 · 143430 · 167335 · 200802 · 334670 · 502005 (half) · 1004010

Aliquot sum (sum of proper divisors): 1,803,126

Factor pairs (a × b = 1,004,010)

1 × 1004010

2 × 502005

3 × 334670

5 × 200802

6 × 167335

7 × 143430

10 × 100401

14 × 71715

15 × 66934

21 × 47810

30 × 33467

35 × 28686

42 × 23905

49 × 20490

70 × 14343

98 × 10245

105 × 9562

147 × 6830

210 × 4781

245 × 4098

294 × 3415

490 × 2049

683 × 1470

735 × 1366

First multiples

1,004,010 · 2,008,020 (double) · 3,012,030 · 4,016,040 · 5,020,050 · 6,024,060 · 7,028,070 · 8,032,080 · 9,036,090 · 10,040,100

Sums & aliquot sequence

As consecutive integers: 334,669 + 334,670 + 334,671 251,001 + 251,002 + 251,003 + 251,004 200,800 + 200,801 + 200,802 + 200,803 + 200,804 143,427 + 143,428 + … + 143,433

Aliquot sequence: 1,004,010 → 1,803,126 → 2,080,698 → 2,325,702 → 2,632,146 → 3,415,854 → 3,941,538 → 3,941,550 → 7,229,610 → 11,567,610 → 19,538,586 → 22,933,818 → 27,216,282 → 27,216,294 → 34,992,474 → 42,675,270 → 75,644,346 — unresolved within range

Continued fraction of √n

√1,004,010 = [1002; (334, 2004)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one million four thousand ten
Ordinal: 1004010th
Binary: 11110101000111101010
Octal: 3650752
Hexadecimal: 0xF51EA
Base64: D1Hq
One's complement: 4,293,963,285 (32-bit)
Scientific notation: 1.00401 × 10⁶
As a duration: 1,004,010 s = 11 days, 14 hours, 53 minutes, 30 seconds

In other bases

ternary (3) 1220000020120

quaternary (4) 3311013222

quinary (5) 224112020

senary (6) 33304110

septenary (7) 11351100

nonary (9) 1800216

undecimal (11) 626367

duodecimal (12) 405036

tridecimal (13) 291cb7

tetradecimal (14) 1c1c70

pentadecimal (15) 14c740

As an angle

1,004,010° = 2,788 × 360° + 330°

330° ≈ 5.76 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓎆
Chinese: 一百萬四千零一十
Chinese (financial): 壹佰萬肆仟零壹拾

In other modern scripts

Eastern Arabic ١٠٠٤٠١٠ Devanagari १००४०१० Bengali ১০০৪০১০ Tamil ௧௦௦௪௦௧௦ Thai ๑๐๐๔๐๑๐ Tibetan ༡༠༠༤༠༡༠ Khmer ១០០៤០១០ Lao ໑໐໐໔໐໑໐ Burmese ၁၀၀၄၀၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004010, here are decompositions:

47 + 1003963 = 1004010
53 + 1003957 = 1004010
67 + 1003943 = 1004010
79 + 1003931 = 1004010
97 + 1003913 = 1004010
101 + 1003909 = 1004010
103 + 1003907 = 1004010
113 + 1003897 = 1004010

Showing the first eight; more decompositions exist.

Hex color

#0F51EA

RGB(15, 81, 234)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.81.234.

Address: 0.15.81.234
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.81.234

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 1,004,010 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 US1,004,010 on Google Patents ↗ Look up on USPTO ↗