Live analysis

1,003,998

1,003,998 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.).

1,003,998 (one million three thousand nine hundred ninety-eight) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 19 × 8,807. Its proper divisors sum to 1,109,922, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF51DE.

Abundant Number Arithmetic Number Cube-Free Happy Number Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

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 1,004,009 1,004,010

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 30
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 8,993,001
Square (n²): 1,008,011,984,004
Cube (n³): 1,012,042,015,916,047,992
Divisor count: 16
σ(n) — sum of divisors: 2,113,920
φ(n) — Euler's totient: 317,016
Sum of prime factors: 8,831

Primality

Prime factorization: 2 × 3 × 19 × 8807

Nearest primes: 1,003,963 (−35) · 1,004,027 (+29)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 19 · 38 · 57 · 114 · 8807 · 17614 · 26421 · 52842 · 167333 · 334666 · 501999 (half) · 1003998

Aliquot sum (sum of proper divisors): 1,109,922

Factor pairs (a × b = 1,003,998)

1 × 1003998

2 × 501999

3 × 334666

6 × 167333

19 × 52842

38 × 26421

57 × 17614

114 × 8807

First multiples

1,003,998 · 2,007,996 (double) · 3,011,994 · 4,015,992 · 5,019,990 · 6,023,988 · 7,027,986 · 8,031,984 · 9,035,982 · 10,039,980

Sums & aliquot sequence

As consecutive integers: 334,665 + 334,666 + 334,667 250,998 + 250,999 + 251,000 + 251,001 83,661 + 83,662 + … + 83,672 52,833 + 52,834 + … + 52,851

Aliquot sequence: 1,003,998 → 1,109,922 → 1,357,662 → 1,396,770 → 1,955,550 → 2,894,586 → 2,911,398 → 3,817,818 → 4,531,770 → 7,535,142 → 8,848,602 → 15,318,438 → 16,375,242 → 18,894,678 → 22,497,834 → 25,353,942 → 28,023,018 — unresolved within range

Continued fraction of √n

√1,003,998 = [1001; (1, 332, 1, 2002)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one million three thousand nine hundred ninety-eight
Ordinal: 1003998th
Binary: 11110101000111011110
Octal: 3650736
Hexadecimal: 0xF51DE
Base64: D1He
One's complement: 4,293,963,297 (32-bit)
Scientific notation: 1.003998 × 10⁶
As a duration: 1,003,998 s = 11 days, 14 hours, 53 minutes, 18 seconds

In other bases

ternary (3) 1220000020010

quaternary (4) 3311013132

quinary (5) 224111443

senary (6) 33304050

septenary (7) 11351052

nonary (9) 1800203

undecimal (11) 626356

duodecimal (12) 405026

tridecimal (13) 291ca8

tetradecimal (14) 1c1c62

pentadecimal (15) 14c733

As an angle

1,003,998° = 2,788 × 360° + 318°

318° ≈ 5.55 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬三千九百九十八
Chinese (financial): 壹佰萬參仟玖佰玖拾捌

In other modern scripts

Eastern Arabic ١٠٠٣٩٩٨ Devanagari १००३९९८ Bengali ১০০৩৯৯৮ Tamil ௧௦௦௩௯௯௮ Thai ๑๐๐๓๙๙๘ Tibetan ༡༠༠༣༩༩༨ Khmer ១០០៣៩៩៨ Lao ໑໐໐໓໙໙໘ Burmese ၁၀၀၃၉၉၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003998, here are decompositions:

41 + 1003957 = 1003998
67 + 1003931 = 1003998
89 + 1003909 = 1003998
101 + 1003897 = 1003998
109 + 1003889 = 1003998
157 + 1003841 = 1003998
179 + 1003819 = 1003998
181 + 1003817 = 1003998

Showing the first eight; more decompositions exist.

Hex color

#0F51DE

RGB(15, 81, 222)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.81.222.

Address: 0.15.81.222
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.81.222

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 1,003,998 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 US1,003,998 on Google Patents ↗ Look up on USPTO ↗