Live analysis

1,004,500

1,004,500 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.).

1,004,500 (one million four thousand five hundred) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 5³ × 7² × 41. Its proper divisors sum to 1,609,748, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF53D4.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,004,488 1,004,489 1,004,490 1,004,491 1,004,492 1,004,493 1,004,494 1,004,495 1,004,496 1,004,497 1,004,498 1,004,499 1,004,500 1,004,501 1,004,502 1,004,503 1,004,504 1,004,505 1,004,506 1,004,507 1,004,508 1,004,509 1,004,510 1,004,511 1,004,512

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 54,001
Square (n²): 1,009,020,250,000
Cube (n³): 1,013,560,841,125,000,000
Divisor count: 72
σ(n) — sum of divisors: 2,614,248
φ(n) — Euler's totient: 336,000
Sum of prime factors: 74

Primality

Prime factorization: 2 ² × 5 ³ × 7 ² × 41

Nearest primes: 1,004,483 (−17) · 1,004,501 (+1)

Divisors & multiples

All divisors (72)

1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 25 · 28 · 35 · 41 · 49 · 50 · 70 · 82 · 98 · 100 · 125 · 140 · 164 · 175 · 196 · 205 · 245 · 250 · 287 · 350 · 410 · 490 · 500 · 574 · 700 · 820 · 875 · 980 · 1025 · 1148 · 1225 · 1435 · 1750 · 2009 · 2050 · 2450 · 2870 · 3500 · 4018 · 4100 · 4900 · 5125 · 5740 · 6125 · 7175 · 8036 · 10045 · 10250 · 12250 · 14350 · 20090 · 20500 · 24500 · 28700 · 35875 · 40180 · 50225 · 71750 · 100450 · 143500 · 200900 · 251125 · 502250 (half) · 1004500

Aliquot sum (sum of proper divisors): 1,609,748

Factor pairs (a × b = 1,004,500)

1 × 1004500

2 × 502250

4 × 251125

5 × 200900

7 × 143500

10 × 100450

14 × 71750

20 × 50225

25 × 40180

28 × 35875

35 × 28700

41 × 24500

49 × 20500

50 × 20090

70 × 14350

82 × 12250

98 × 10250

100 × 10045

125 × 8036

140 × 7175

164 × 6125

175 × 5740

196 × 5125

205 × 4900

245 × 4100

250 × 4018

287 × 3500

350 × 2870

410 × 2450

490 × 2050

500 × 2009

574 × 1750

700 × 1435

820 × 1225

875 × 1148

980 × 1025

First multiples

1,004,500 · 2,009,000 (double) · 3,013,500 · 4,018,000 · 5,022,500 · 6,027,000 · 7,031,500 · 8,036,000 · 9,040,500 · 10,045,000

Sums & aliquot sequence

As a sum of two squares: 210² + 980² = 420² + 910² = 476² + 882² = 658² + 756²

As consecutive integers: 200,898 + 200,899 + 200,900 + 200,901 + 200,902 143,497 + 143,498 + … + 143,503 125,559 + 125,560 + … + 125,566 40,168 + 40,169 + … + 40,192

Aliquot sequence: 1,004,500 → 1,609,748 → 1,761,004 → 1,799,476 → 1,864,142 → 1,331,554 → 951,134 → 488,986 → 244,496 → 320,944 → 349,152 → 567,624 → 876,696 → 1,315,104 → 2,878,176 → 5,758,368 → 14,562,912 — unresolved within range

Continued fraction of √n

√1,004,500 = [1002; (4, 24, 2, 79, 1, 2, 4, 2, 4, 2, 3, 79, 1, 8, 12, 8, 1, 79, 3, 2, 4, 2, 4, 2, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words: one million four thousand five hundred
Ordinal: 1004500th
Binary: 11110101001111010100
Octal: 3651724
Hexadecimal: 0xF53D4
Base64: D1PU
One's complement: 4,293,962,795 (32-bit)
Scientific notation: 1.0045 × 10⁶
As a duration: 1,004,500 s = 11 days, 15 hours, 1 minute, 40 seconds

In other bases

ternary (3) 1220000220201

quaternary (4) 3311033110

quinary (5) 224121000

senary (6) 33310244

septenary (7) 11352400

nonary (9) 1800821

undecimal (11) 626772

duodecimal (12) 405384

tridecimal (13) 2922a3

tetradecimal (14) 1c2100

pentadecimal (15) 14c96a

As an angle

1,004,500° = 2,790 × 360° + 100°

100° ≈ 1.745 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢
Chinese: 一百萬四千五百
Chinese (financial): 壹佰萬肆仟伍佰

In other modern scripts

Eastern Arabic ١٠٠٤٥٠٠ Devanagari १००४५०० Bengali ১০০৪৫০০ Tamil ௧௦௦௪௫௦௦ Thai ๑๐๐๔๕๐๐ Tibetan ༡༠༠༤༥༠༠ Khmer ១០០៤៥០០ Lao ໑໐໐໔໕໐໐ Burmese ၁၀၀၄၅၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004500, here are decompositions:

17 + 1004483 = 1004500
23 + 1004477 = 1004500
47 + 1004453 = 1004500
59 + 1004441 = 1004500
71 + 1004429 = 1004500
137 + 1004363 = 1004500
197 + 1004303 = 1004500
227 + 1004273 = 1004500

Showing the first eight; more decompositions exist.

Hex color

#0F53D4

RGB(15, 83, 212)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.83.212.

Address: 0.15.83.212
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.83.212

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 1,004,500 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 US1,004,500 on Google Patents ↗ Look up on USPTO ↗