Live analysis

1,003,002

1,003,002 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.).

1,003,002 (one million three thousand two) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2 × 3 × 7 × 11 × 13 × 167. Its proper divisors sum to 1,706,502, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4DFA.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Practical Number Pronic / Oblong Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

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 1,003,003 1,003,004 1,003,005 1,003,006 1,003,007 1,003,008 1,003,009 1,003,010 1,003,011 1,003,012 1,003,013 1,003,014

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 2,003,001
Square (n²): 1,006,013,012,004
Cube (n³): 1,009,033,063,066,036,008
Divisor count: 64
σ(n) — sum of divisors: 2,709,504
φ(n) — Euler's totient: 239,040
Sum of prime factors: 203

Primality

Prime factorization: 2 × 3 × 7 × 11 × 13 × 167

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

Divisors & multiples

All divisors (64)

1 · 2 · 3 · 6 · 7 · 11 · 13 · 14 · 21 · 22 · 26 · 33 · 39 · 42 · 66 · 77 · 78 · 91 · 143 · 154 · 167 · 182 · 231 · 273 · 286 · 334 · 429 · 462 · 501 · 546 · 858 · 1001 · 1002 · 1169 · 1837 · 2002 · 2171 · 2338 · 3003 · 3507 · 3674 · 4342 · 5511 · 6006 · 6513 · 7014 · 11022 · 12859 · 13026 · 15197 · 23881 · 25718 · 30394 · 38577 · 45591 · 47762 · 71643 · 77154 · 91182 · 143286 · 167167 · 334334 · 501501 (half) · 1003002

Aliquot sum (sum of proper divisors): 1,706,502

Factor pairs (a × b = 1,003,002)

1 × 1003002

2 × 501501

3 × 334334

6 × 167167

7 × 143286

11 × 91182

13 × 77154

14 × 71643

21 × 47762

22 × 45591

26 × 38577

33 × 30394

39 × 25718

42 × 23881

66 × 15197

77 × 13026

78 × 12859

91 × 11022

143 × 7014

154 × 6513

167 × 6006

182 × 5511

231 × 4342

273 × 3674

286 × 3507

334 × 3003

429 × 2338

462 × 2171

501 × 2002

546 × 1837

858 × 1169

1001 × 1002

First multiples

1,003,002 · 2,006,004 (double) · 3,009,006 · 4,012,008 · 5,015,010 · 6,018,012 · 7,021,014 · 8,024,016 · 9,027,018 · 10,030,020

Sums & aliquot sequence

As consecutive integers: 334,333 + 334,334 + 334,335 250,749 + 250,750 + 250,751 + 250,752 143,283 + 143,284 + … + 143,289 91,177 + 91,178 + … + 91,187

Aliquot sequence: 1,003,002 → 1,706,502 → 2,293,242 → 2,948,550 → 5,033,082 → 5,055,558 → 5,777,082 → 7,204,614 → 7,258,938 → 7,924,230 → 13,481,082 → 16,998,822 → 21,955,698 → 27,512,490 → 38,517,558 → 38,517,570 → 84,764,862 — unresolved within range

Continued fraction of √n

√1,003,002 = [1001; (2, 2002)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one million three thousand two
Ordinal: 1003002nd
Binary: 11110100110111111010
Octal: 3646772
Hexadecimal: 0xF4DFA
Base64: D036
One's complement: 4,293,964,293 (32-bit)
Scientific notation: 1.003002 × 10⁶
As a duration: 1,003,002 s = 11 days, 14 hours, 36 minutes, 42 seconds

In other bases

ternary (3) 1212221212020

quaternary (4) 3310313322

quinary (5) 224044002

senary (6) 33255310

septenary (7) 11345130

nonary (9) 1787766

undecimal (11) 625630

duodecimal (12) 404536

tridecimal (13) 2916c0

tetradecimal (14) 1c1750

pentadecimal (15) 14c2bc

As an angle

1,003,002° = 2,786 × 360° + 42°

42° ≈ 0.733 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓏺𓏺
Chinese: 一百萬三千零二
Chinese (financial): 壹佰萬參仟零貳

In other modern scripts

Eastern Arabic ١٠٠٣٠٠٢ Devanagari १००३००२ Bengali ১০০৩০০২ Tamil ௧௦௦௩௦௦௨ Thai ๑๐๐๓๐๐๒ Tibetan ༡༠༠༣༠༠༢ Khmer ១០០៣០០២ Lao ໑໐໐໓໐໐໒ Burmese ၁၀၀၃၀၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003002, here are decompositions:

23 + 1002979 = 1003002
29 + 1002973 = 1003002
71 + 1002931 = 1003002
73 + 1002929 = 1003002
89 + 1002913 = 1003002
103 + 1002899 = 1003002
109 + 1002893 = 1003002
131 + 1002871 = 1003002

Showing the first eight; more decompositions exist.

Hex color

#0F4DFA

RGB(15, 77, 250)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.77.250.

Address: 0.15.77.250
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.77.250

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 1,003,002 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 US1,003,002 on Google Patents ↗ Look up on USPTO ↗