Live analysis

1,002,990

1,002,990 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.).

1,002,990 (one million two thousand nine hundred ninety) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 67 × 499. Its proper divisors sum to 1,445,010, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4DEE.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Practical Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,002,978 1,002,979 1,002,980 1,002,981 1,002,982 1,002,983 1,002,984 1,002,985 1,002,986 1,002,987 1,002,988 1,002,989 1,002,990 1,002,991 1,002,992 1,002,993 1,002,994 1,002,995 1,002,996 1,002,997 1,002,998 1,002,999 1,003,000 1,003,001 1,003,002

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 992,001
Square (n²): 1,005,988,940,100
Cube (n³): 1,008,996,847,030,899,000
Divisor count: 32
σ(n) — sum of divisors: 2,448,000
φ(n) — Euler's totient: 262,944
Sum of prime factors: 576

Primality

Prime factorization: 2 × 3 × 5 × 67 × 499

Nearest primes: 1,002,979 (−11) · 1,003,001 (+11)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 67 · 134 · 201 · 335 · 402 · 499 · 670 · 998 · 1005 · 1497 · 2010 · 2495 · 2994 · 4990 · 7485 · 14970 · 33433 · 66866 · 100299 · 167165 · 200598 · 334330 · 501495 (half) · 1002990

Aliquot sum (sum of proper divisors): 1,445,010

Factor pairs (a × b = 1,002,990)

1 × 1002990

2 × 501495

3 × 334330

5 × 200598

6 × 167165

10 × 100299

15 × 66866

30 × 33433

67 × 14970

134 × 7485

201 × 4990

335 × 2994

402 × 2495

499 × 2010

670 × 1497

998 × 1005

First multiples

1,002,990 · 2,005,980 (double) · 3,008,970 · 4,011,960 · 5,014,950 · 6,017,940 · 7,020,930 · 8,023,920 · 9,026,910 · 10,029,900

Sums & aliquot sequence

As consecutive integers: 334,329 + 334,330 + 334,331 250,746 + 250,747 + 250,748 + 250,749 200,596 + 200,597 + 200,598 + 200,599 + 200,600 83,577 + 83,578 + … + 83,588

Aliquot sequence: 1,002,990 → 1,445,010 → 2,593,326 → 2,628,258 → 2,770,782 → 3,737,250 → 7,359,966 → 9,463,698 → 11,519,550 → 27,049,410 → 45,083,070 → 72,133,146 → 88,441,254 → 125,963,226 → 158,824,134 → 234,454,986 → 296,036,118 — unresolved within range

Continued fraction of √n

√1,002,990 = [1001; (2, 40, 2, 1, 1, 1, 5, 1, 4, 2, 2, 4, 1, 1, 9, 5, 1, 4, 10, 3, 1, 1, 3, 21, …)]

Representations

In words: one million two thousand nine hundred ninety
Ordinal: 1002990th
Binary: 11110100110111101110
Octal: 3646756
Hexadecimal: 0xF4DEE
Base64: D03u
One's complement: 4,293,964,305 (32-bit)
Scientific notation: 1.00299 × 10⁶
As a duration: 1,002,990 s = 11 days, 14 hours, 36 minutes, 30 seconds

In other bases

ternary (3) 1212221211210

quaternary (4) 3310313232

quinary (5) 224043430

senary (6) 33255250

septenary (7) 11345112

nonary (9) 1787753

undecimal (11) 62561a

duodecimal (12) 404526

tridecimal (13) 2916b1

tetradecimal (14) 1c1742

pentadecimal (15) 14c2b0

As an angle

1,002,990° = 2,786 × 360° + 30°

30° ≈ 0.524 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬二千九百九十
Chinese (financial): 壹佰萬貳仟玖佰玖拾

In other modern scripts

Eastern Arabic ١٠٠٢٩٩٠ Devanagari १००२९९० Bengali ১০০২৯৯০ Tamil ௧௦௦௨௯௯௦ Thai ๑๐๐๒๙๙๐ Tibetan ༡༠༠༢༩༩༠ Khmer ១០០២៩៩០ Lao ໑໐໐໒໙໙໐ Burmese ၁၀၀၂၉၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002990, here are decompositions:

11 + 1002979 = 1002990
17 + 1002973 = 1002990
59 + 1002931 = 1002990
61 + 1002929 = 1002990
73 + 1002917 = 1002990
97 + 1002893 = 1002990
103 + 1002887 = 1002990
127 + 1002863 = 1002990

Showing the first eight; more decompositions exist.

Hex color

#0F4DEE

RGB(15, 77, 238)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.77.238.

Address: 0.15.77.238
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.77.238

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 1,002,990 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 US1,002,990 on Google Patents ↗ Look up on USPTO ↗