Live analysis

1,001,000

1,001,000 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.).

1,001,000 (one million one thousand) is an even 7-digit number. It is a composite number with 128 divisors, and factors as 2³ × 5³ × 7 × 11 × 13. Its proper divisors sum to 2,143,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4628.

Abundant Number Arithmetic Number Flippable Gapful Number Harshad / Niven Odious Number Practical Number Pronic / Oblong Weird Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 2
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 1,001
Flips to (rotate 180°): 1,001
Square (n²): 1,002,001,000,000
Cube (n³): 1,003,003,001,000,000,000
Divisor count: 128
σ(n) — sum of divisors: 3,144,960
φ(n) — Euler's totient: 288,000
Sum of prime factors: 52

Primality

Prime factorization: 2 ³ × 5 ³ × 7 × 11 × 13

Nearest primes: 1,000,999 (−1) · 1,001,003 (+3)

Divisors & multiples

All divisors (128)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 11 · 13 · 14 · 20 · 22 · 25 · 26 · 28 · 35 · 40 · 44 · 50 · 52 · 55 · 56 · 65 · 70 · 77 · 88 · 91 · 100 · 104 · 110 · 125 · 130 · 140 · 143 · 154 · 175 · 182 · 200 · 220 · 250 · 260 · 275 · 280 · 286 · 308 · 325 · 350 · 364 · 385 · 440 · 455 · 500 · 520 · 550 · 572 · 616 · 650 · 700 · 715 · 728 · 770 · 875 · 910 · 1000 · 1001 · 1100 · 1144 · 1300 · 1375 · 1400 · 1430 · 1540 · 1625 · 1750 · 1820 · 1925 · 2002 · 2200 · 2275 · 2600 · 2750 · 2860 · 3080 · 3250 · 3500 · 3575 · 3640 · 3850 · 4004 · 4550 · 5005 · 5500 · 5720 · 6500 · 7000 · 7150 · 7700 · 8008 · 9100 · 9625 · 10010 · 11000 · 11375 · 13000 · 14300 · 15400 · 17875 · 18200 · 19250 · 20020 · 22750 · 25025 · 28600 · 35750 · 38500 · 40040 · 45500 · 50050 · 71500 · 77000 · 91000 · 100100 · 125125 · 143000 · 200200 · 250250 · 500500 (half) · 1001000

Aliquot sum (sum of proper divisors): 2,143,960

Factor pairs (a × b = 1,001,000)

1 × 1001000

2 × 500500

4 × 250250

5 × 200200

7 × 143000

8 × 125125

10 × 100100

11 × 91000

13 × 77000

14 × 71500

20 × 50050

22 × 45500

25 × 40040

26 × 38500

28 × 35750

35 × 28600

40 × 25025

44 × 22750

50 × 20020

52 × 19250

55 × 18200

56 × 17875

65 × 15400

70 × 14300

77 × 13000

88 × 11375

91 × 11000

100 × 10010

104 × 9625

110 × 9100

125 × 8008

130 × 7700

140 × 7150

143 × 7000

154 × 6500

175 × 5720

182 × 5500

200 × 5005

220 × 4550

250 × 4004

260 × 3850

275 × 3640

280 × 3575

286 × 3500

308 × 3250

325 × 3080

350 × 2860

364 × 2750

385 × 2600

440 × 2275

455 × 2200

500 × 2002

520 × 1925

550 × 1820

572 × 1750

616 × 1625

650 × 1540

700 × 1430

715 × 1400

728 × 1375

770 × 1300

875 × 1144

910 × 1100

1000 × 1001

First multiples

1,001,000 · 2,002,000 (double) · 3,003,000 · 4,004,000 · 5,005,000 · 6,006,000 · 7,007,000 · 8,008,000 · 9,009,000 · 10,010,000

Sums & aliquot sequence

As a sum of two cubes: 10³ + 100³

As consecutive integers: 200,198 + 200,199 + 200,200 + 200,201 + 200,202 142,997 + 142,998 + … + 143,003 90,995 + 90,996 + … + 91,005 76,994 + 76,995 + … + 77,006

Aliquot sequence: 1,001,000 → 2,143,960 → 4,307,240 → 6,769,240 → 8,548,760 → 12,435,640 → 20,949,320 → 35,279,800 → 47,136,800 → 67,937,866 → 35,490,134 → 18,098,074 → 9,049,040 → 19,449,136 → 23,873,488 → 22,595,760 → 63,287,136 — unresolved within range

Continued fraction of √n

√1,001,000 = [1000; (2, 2000)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one million one thousand
Ordinal: 1001000th
Binary: 11110100011000101000
Octal: 3643050
Hexadecimal: 0xF4628
Base64: D0Yo
One's complement: 4,293,966,295 (32-bit)
Scientific notation: 1.001 × 10⁶
As a duration: 1,001,000 s = 11 days, 14 hours, 3 minutes, 20 seconds

In other bases

ternary (3) 1212212010002

quaternary (4) 3310120220

quinary (5) 224013000

senary (6) 33242132

septenary (7) 11336240

nonary (9) 1785102

undecimal (11) 624080

duodecimal (12) 403348

tridecimal (13) 290810

tetradecimal (14) 1c0b20

pentadecimal (15) 14b8d5

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼
Chinese: 一百萬一千
Chinese (financial): 壹佰萬壹仟

In other modern scripts

Eastern Arabic ١٠٠١٠٠٠ Devanagari १००१००० Bengali ১০০১০০০ Tamil ௧௦௦௧௦௦௦ Thai ๑๐๐๑๐๐๐ Tibetan ༡༠༠༡༠༠༠ Khmer ១០០១០០០ Lao ໑໐໐໑໐໐໐ Burmese ၁၀၀၁၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001000, here are decompositions:

19 + 1000981 = 1001000
31 + 1000969 = 1001000
79 + 1000921 = 1001000
139 + 1000861 = 1001000
151 + 1000849 = 1001000
223 + 1000777 = 1001000
277 + 1000723 = 1001000
331 + 1000669 = 1001000

Showing the first eight; more decompositions exist.

Hex color

#0F4628

RGB(15, 70, 40)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.40.

Address: 0.15.70.40
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.40

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 1,001,000 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 US1,001,000 on Google Patents ↗ Look up on USPTO ↗