Live analysis

1,000,500

1,000,500 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.).

1,000,500 (one million five hundred) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2² × 3 × 5³ × 23 × 29. Its proper divisors sum to 2,144,460, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4434.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Practical Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,000,488 1,000,489 1,000,490 1,000,491 1,000,492 1,000,493 1,000,494 1,000,495 1,000,496 1,000,497 1,000,498 1,000,499 1,000,500 1,000,501 1,000,502 1,000,503 1,000,504 1,000,505 1,000,506 1,000,507 1,000,508 1,000,509 1,000,510 1,000,511 1,000,512

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 50,001
Square (n²): 1,001,000,250,000
Cube (n³): 1,001,500,750,125,000,000
Divisor count: 96
σ(n) — sum of divisors: 3,144,960
φ(n) — Euler's totient: 246,400
Sum of prime factors: 74

Primality

Prime factorization: 2 ² × 3 × 5 ³ × 23 × 29

Nearest primes: 1,000,457 (−43) · 1,000,507 (+7)

Divisors & multiples

All divisors (96)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 23 · 25 · 29 · 30 · 46 · 50 · 58 · 60 · 69 · 75 · 87 · 92 · 100 · 115 · 116 · 125 · 138 · 145 · 150 · 174 · 230 · 250 · 276 · 290 · 300 · 345 · 348 · 375 · 435 · 460 · 500 · 575 · 580 · 667 · 690 · 725 · 750 · 870 · 1150 · 1334 · 1380 · 1450 · 1500 · 1725 · 1740 · 2001 · 2175 · 2300 · 2668 · 2875 · 2900 · 3335 · 3450 · 3625 · 4002 · 4350 · 5750 · 6670 · 6900 · 7250 · 8004 · 8625 · 8700 · 10005 · 10875 · 11500 · 13340 · 14500 · 16675 · 17250 · 20010 · 21750 · 33350 · 34500 · 40020 · 43500 · 50025 · 66700 · 83375 · 100050 · 166750 · 200100 · 250125 · 333500 · 500250 (half) · 1000500

Aliquot sum (sum of proper divisors): 2,144,460

Factor pairs (a × b = 1,000,500)

1 × 1000500

2 × 500250

3 × 333500

4 × 250125

5 × 200100

6 × 166750

10 × 100050

12 × 83375

15 × 66700

20 × 50025

23 × 43500

25 × 40020

29 × 34500

30 × 33350

46 × 21750

50 × 20010

58 × 17250

60 × 16675

69 × 14500

75 × 13340

87 × 11500

92 × 10875

100 × 10005

115 × 8700

116 × 8625

125 × 8004

138 × 7250

145 × 6900

150 × 6670

174 × 5750

230 × 4350

250 × 4002

276 × 3625

290 × 3450

300 × 3335

345 × 2900

348 × 2875

375 × 2668

435 × 2300

460 × 2175

500 × 2001

575 × 1740

580 × 1725

667 × 1500

690 × 1450

725 × 1380

750 × 1334

870 × 1150

First multiples

1,000,500 · 2,001,000 (double) · 3,001,500 · 4,002,000 · 5,002,500 · 6,003,000 · 7,003,500 · 8,004,000 · 9,004,500 · 10,005,000

Sums & aliquot sequence

As consecutive integers: 333,499 + 333,500 + 333,501 200,098 + 200,099 + 200,100 + 200,101 + 200,102 125,059 + 125,060 + … + 125,066 66,693 + 66,694 + … + 66,707

Aliquot sequence: 1,000,500 → 2,144,460 → 3,935,796 → 5,247,756 → 8,017,496 → 7,117,144 → 6,267,656 → 5,602,084 → 4,277,324 → 3,313,924 → 2,620,620 → 5,927,220 → 14,711,580 → 33,353,892 → 75,088,988 → 73,874,932 → 57,850,508 — unresolved within range

Continued fraction of √n

√1,000,500 = [1000; (4, 2000)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one million five hundred
Ordinal: 1000500th
Binary: 11110100010000110100
Octal: 3642064
Hexadecimal: 0xF4434
Base64: D0Q0
One's complement: 4,293,966,795 (32-bit)
Scientific notation: 1.0005 × 10⁶
As a duration: 1,000,500 s = 11 days, 13 hours, 55 minutes

In other bases

ternary (3) 1212211102120

quaternary (4) 3310100310

quinary (5) 224004000

senary (6) 33235540

septenary (7) 11334624

nonary (9) 1784376

undecimal (11) 623766

duodecimal (12) 402bb0

tridecimal (13) 290517

tetradecimal (14) 1c0884

pentadecimal (15) 14b6a0

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓍢𓍢𓍢𓍢𓍢
Chinese: 一百萬零五百
Chinese (financial): 壹佰萬零伍佰

In other modern scripts

Eastern Arabic ١٠٠٠٥٠٠ Devanagari १०००५०० Bengali ১০০০৫০০ Tamil ௧௦௦௦௫௦௦ Thai ๑๐๐๐๕๐๐ Tibetan ༡༠༠༠༥༠༠ Khmer ១០០០៥០០ Lao ໑໐໐໐໕໐໐ Burmese ၁၀၀၀၅၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000500, here are decompositions:

43 + 1000457 = 1000500
47 + 1000453 = 1000500
71 + 1000429 = 1000500
73 + 1000427 = 1000500
97 + 1000403 = 1000500
103 + 1000397 = 1000500
107 + 1000393 = 1000500
167 + 1000333 = 1000500

Showing the first eight; more decompositions exist.

Hex color

#0F4434

RGB(15, 68, 52)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.68.52.

Address: 0.15.68.52
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.68.52

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 1,000,500 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 US1,000,500 on Google Patents ↗ Look up on USPTO ↗