Live analysis

1,003,996

1,003,996 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.).

1,003,996 (one million three thousand nine hundred ninety-six) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 23 × 1,559. Its proper divisors sum to 1,092,644, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF51DC.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Harshad / Niven Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,003,984 1,003,985 1,003,986 1,003,987 1,003,988 1,003,989 1,003,990 1,003,991 1,003,992 1,003,993 1,003,994 1,003,995 1,003,996 1,003,997 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 28
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 6,993,001
Square (n²): 1,008,007,968,016
Cube (n³): 1,012,035,967,856,191,936
Divisor count: 24
σ(n) — sum of divisors: 2,096,640
φ(n) — Euler's totient: 411,312
Sum of prime factors: 1,593

Primality

Prime factorization: 2 ² × 7 × 23 × 1559

Nearest primes: 1,003,963 (−33) · 1,004,027 (+31)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 7 · 14 · 23 · 28 · 46 · 92 · 161 · 322 · 644 · 1559 · 3118 · 6236 · 10913 · 21826 · 35857 · 43652 · 71714 · 143428 · 250999 · 501998 (half) · 1003996

Aliquot sum (sum of proper divisors): 1,092,644

Factor pairs (a × b = 1,003,996)

1 × 1003996

2 × 501998

4 × 250999

7 × 143428

14 × 71714

23 × 43652

28 × 35857

46 × 21826

92 × 10913

161 × 6236

322 × 3118

644 × 1559

First multiples

1,003,996 · 2,007,992 (double) · 3,011,988 · 4,015,984 · 5,019,980 · 6,023,976 · 7,027,972 · 8,031,968 · 9,035,964 · 10,039,960

Sums & aliquot sequence

As consecutive integers: 143,425 + 143,426 + … + 143,431 125,496 + 125,497 + … + 125,503 43,641 + 43,642 + … + 43,663 17,901 + 17,902 + … + 17,956

Aliquot sequence: 1,003,996 → 1,092,644 → 1,092,700 → 1,677,956 → 1,749,244 → 1,749,300 → 4,500,300 → 10,387,636 → 10,466,764 → 13,725,236 → 14,673,484 → 14,673,540 → 36,936,060 → 81,260,676 → 153,493,116 → 256,453,764 → 427,423,164 — unresolved within range

Continued fraction of √n

√1,003,996 = [1001; (1, 249, 2, 500, 2, 249, 1, 2002)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one million three thousand nine hundred ninety-six
Ordinal: 1003996th
Binary: 11110101000111011100
Octal: 3650734
Hexadecimal: 0xF51DC
Base64: D1Hc
One's complement: 4,293,963,299 (32-bit)
Scientific notation: 1.003996 × 10⁶
As a duration: 1,003,996 s = 11 days, 14 hours, 53 minutes, 16 seconds

In other bases

ternary (3) 1220000020001

quaternary (4) 3311013130

quinary (5) 224111441

senary (6) 33304044

septenary (7) 11351050

nonary (9) 1800201

undecimal (11) 626354

duodecimal (12) 405024

tridecimal (13) 291ca6

tetradecimal (14) 1c1c60

pentadecimal (15) 14c731

As an angle

1,003,996° = 2,788 × 360° + 316°

316° ≈ 5.515 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬三千九百九十六
Chinese (financial): 壹佰萬參仟玖佰玖拾陸

In other modern scripts

Eastern Arabic ١٠٠٣٩٩٦ Devanagari १००३९९६ Bengali ১০০৩৯৯৬ Tamil ௧௦௦௩௯௯௬ Thai ๑๐๐๓๙๙๖ Tibetan ༡༠༠༣༩༩༦ Khmer ១០០៣៩៩៦ Lao ໑໐໐໓໙໙໖ Burmese ၁၀၀၃၉၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003996, here are decompositions:

53 + 1003943 = 1003996
83 + 1003913 = 1003996
89 + 1003907 = 1003996
107 + 1003889 = 1003996
179 + 1003817 = 1003996
233 + 1003763 = 1003996
239 + 1003757 = 1003996
263 + 1003733 = 1003996

Showing the first eight; more decompositions exist.

Hex color

#0F51DC

RGB(15, 81, 220)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.81.220.

Address: 0.15.81.220
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.81.220

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 1,003,996 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 US1,003,996 on Google Patents ↗ Look up on USPTO ↗