Live analysis

1,002,000

1,002,000 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.).

1,002,000 (one million two thousand) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5³ × 167. Its proper divisors sum to 2,247,792, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4A10.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,001,988 1,001,989 1,001,990 1,001,991 1,001,992 1,001,993 1,001,994 1,001,995 1,001,996 1,001,997 1,001,998 1,001,999 1,002,000 1,002,001 1,002,002 1,002,003 1,002,004 1,002,005 1,002,006 1,002,007 1,002,008 1,002,009 1,002,010 1,002,011 1,002,012

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 3
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 2,001
Square (n²): 1,004,004,000,000
Cube (n³): 1,006,012,008,000,000,000
Divisor count: 80
σ(n) — sum of divisors: 3,249,792
φ(n) — Euler's totient: 265,600
Sum of prime factors: 193

Primality

Prime factorization: 2 ⁴ × 3 × 5 ³ × 167

Nearest primes: 1,001,989 (−11) · 1,002,017 (+17)

Divisors & multiples

All divisors (80)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 25 · 30 · 40 · 48 · 50 · 60 · 75 · 80 · 100 · 120 · 125 · 150 · 167 · 200 · 240 · 250 · 300 · 334 · 375 · 400 · 500 · 501 · 600 · 668 · 750 · 835 · 1000 · 1002 · 1200 · 1336 · 1500 · 1670 · 2000 · 2004 · 2505 · 2672 · 3000 · 3340 · 4008 · 4175 · 5010 · 6000 · 6680 · 8016 · 8350 · 10020 · 12525 · 13360 · 16700 · 20040 · 20875 · 25050 · 33400 · 40080 · 41750 · 50100 · 62625 · 66800 · 83500 · 100200 · 125250 · 167000 · 200400 · 250500 · 334000 · 501000 (half) · 1002000

Aliquot sum (sum of proper divisors): 2,247,792

Factor pairs (a × b = 1,002,000)

1 × 1002000

2 × 501000

3 × 334000

4 × 250500

5 × 200400

6 × 167000

8 × 125250

10 × 100200

12 × 83500

15 × 66800

16 × 62625

20 × 50100

24 × 41750

25 × 40080

30 × 33400

40 × 25050

48 × 20875

50 × 20040

60 × 16700

75 × 13360

80 × 12525

100 × 10020

120 × 8350

125 × 8016

150 × 6680

167 × 6000

200 × 5010

240 × 4175

250 × 4008

300 × 3340

334 × 3000

375 × 2672

400 × 2505

500 × 2004

501 × 2000

600 × 1670

668 × 1500

750 × 1336

835 × 1200

1000 × 1002

First multiples

1,002,000 · 2,004,000 (double) · 3,006,000 · 4,008,000 · 5,010,000 · 6,012,000 · 7,014,000 · 8,016,000 · 9,018,000 · 10,020,000

Sums & aliquot sequence

As consecutive integers: 333,999 + 334,000 + 334,001 200,398 + 200,399 + 200,400 + 200,401 + 200,402 66,793 + 66,794 + … + 66,807 40,068 + 40,069 + … + 40,092

Aliquot sequence: 1,002,000 → 2,247,792 → 3,559,128 → 5,558,232 → 8,481,048 → 12,808,152 → 29,009,448 → 57,779,352 → 102,719,448 → 207,845,352 → 476,395,128 → 1,006,516,872 → 1,833,775,128 → 3,132,699,372 → 5,564,097,828 → 8,504,399,160 → 19,134,899,280 — keeps growing

Continued fraction of √n

√1,002,000 = [1000; (1, 2000)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one million two thousand
Ordinal: 1002000th
Binary: 11110100101000010000
Octal: 3645020
Hexadecimal: 0xF4A10
Base64: D0oQ
One's complement: 4,293,965,295 (32-bit)
Scientific notation: 1.002 × 10⁶
As a duration: 1,002,000 s = 11 days, 14 hours, 20 minutes

In other bases

ternary (3) 1212220111010

quaternary (4) 3310220100

quinary (5) 224031000

senary (6) 33250520

septenary (7) 11342166

nonary (9) 1786433

undecimal (11) 6248aa

duodecimal (12) 403a40

tridecimal (13) 2910cc

tetradecimal (14) 1c1236

pentadecimal (15) 14bd50

As an angle

1,002,000° = 2,783 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼
Chinese: 一百萬二千
Chinese (financial): 壹佰萬貳仟

In other modern scripts

Eastern Arabic ١٠٠٢٠٠٠ Devanagari १००२००० Bengali ১০০২০০০ Tamil ௧௦௦௨௦௦௦ Thai ๑๐๐๒๐๐๐ Tibetan ༡༠༠༢༠༠༠ Khmer ១០០២០០០ Lao ໑໐໐໒໐໐໐ Burmese ၁၀၀၂၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002000, here are decompositions:

11 + 1001989 = 1002000
17 + 1001983 = 1002000
19 + 1001981 = 1002000
23 + 1001977 = 1002000
47 + 1001953 = 1002000
53 + 1001947 = 1002000
59 + 1001941 = 1002000
67 + 1001933 = 1002000

Showing the first eight; more decompositions exist.

Hex color

#0F4A10

RGB(15, 74, 16)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.16.

Address: 0.15.74.16
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.16

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 1,002,000 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 US1,002,000 on Google Patents ↗ Look up on USPTO ↗