Live analysis

1,002,500

1,002,500 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.).

1,002,500 (one million two thousand five hundred) is an even 7-digit number. It is a composite number with 30 divisors, and factors as 2² × 5⁴ × 401. Its proper divisors sum to 1,195,234, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4C04.

Abundant Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,002,488 1,002,489 1,002,490 1,002,491 1,002,492 1,002,493 1,002,494 1,002,495 1,002,496 1,002,497 1,002,498 1,002,499 1,002,500 1,002,501 1,002,502 1,002,503 1,002,504 1,002,505 1,002,506 1,002,507 1,002,508 1,002,509 1,002,510 1,002,511 1,002,512

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 52,001
Square (n²): 1,005,006,250,000
Cube (n³): 1,007,518,765,625,000,000
Divisor count: 30
σ(n) — sum of divisors: 2,197,734
φ(n) — Euler's totient: 400,000
Sum of prime factors: 425

Primality

Prime factorization: 2 ² × 5 ⁴ × 401

Nearest primes: 1,002,493 (−7) · 1,002,503 (+3)

Divisors & multiples

All divisors (30)

1 · 2 · 4 · 5 · 10 · 20 · 25 · 50 · 100 · 125 · 250 · 401 · 500 · 625 · 802 · 1250 · 1604 · 2005 · 2500 · 4010 · 8020 · 10025 · 20050 · 40100 · 50125 · 100250 · 200500 · 250625 · 501250 (half) · 1002500

Aliquot sum (sum of proper divisors): 1,195,234

Factor pairs (a × b = 1,002,500)

1 × 1002500

2 × 501250

4 × 250625

5 × 200500

10 × 100250

20 × 50125

25 × 40100

50 × 20050

100 × 10025

125 × 8020

250 × 4010

401 × 2500

500 × 2005

625 × 1604

802 × 1250

First multiples

1,002,500 · 2,005,000 (double) · 3,007,500 · 4,010,000 · 5,012,500 · 6,015,000 · 7,017,500 · 8,020,000 · 9,022,500 · 10,025,000

Sums & aliquot sequence

As a sum of two squares: 50² + 1,000² = 232² + 974² = 328² + 946² = 560² + 830²

As consecutive integers: 200,498 + 200,499 + 200,500 + 200,501 + 200,502 125,309 + 125,310 + … + 125,316 40,088 + 40,089 + … + 40,112 25,043 + 25,044 + … + 25,082

Aliquot sequence: 1,002,500 → 1,195,234 → 664,022 → 332,014 → 170,906 → 85,456 → 108,914 → 72,526 → 36,266 → 18,136 → 15,884 → 16,120 → 24,200 → 37,645 → 7,535 → 2,401 → 400 — unresolved within range

Continued fraction of √n

√1,002,500 = [1001; (4, 79, 1, 5, 1, 1, 1, 79, 2, 4, 2, 79, 1, 1, 1, 5, 1, 79, 4, 2002)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: one million two thousand five hundred
Ordinal: 1002500th
Binary: 11110100110000000100
Octal: 3646004
Hexadecimal: 0xF4C04
Base64: D0wE
One's complement: 4,293,964,795 (32-bit)
Scientific notation: 1.0025 × 10⁶
As a duration: 1,002,500 s = 11 days, 14 hours, 28 minutes, 20 seconds

In other bases

ternary (3) 1212221011122

quaternary (4) 3310300010

quinary (5) 224040000

senary (6) 33253112

septenary (7) 11343512

nonary (9) 1787148

undecimal (11) 625214

duodecimal (12) 404198

tridecimal (13) 2913c5

tetradecimal (14) 1c14b2

pentadecimal (15) 14c085

As an angle

1,002,500° = 2,784 × 360° + 260°

260° ≈ 4.538 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓍢
Chinese: 一百萬二千五百
Chinese (financial): 壹佰萬貳仟伍佰

In other modern scripts

Eastern Arabic ١٠٠٢٥٠٠ Devanagari १००२५०० Bengali ১০০২৫০০ Tamil ௧௦௦௨௫௦௦ Thai ๑๐๐๒๕๐๐ Tibetan ༡༠༠༢༥༠༠ Khmer ១០០២៥០០ Lao ໑໐໐໒໕໐໐ Burmese ၁၀၀၂၅၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002500, here are decompositions:

7 + 1002493 = 1002500
13 + 1002487 = 1002500
19 + 1002481 = 1002500
43 + 1002457 = 1002500
67 + 1002433 = 1002500
73 + 1002427 = 1002500
97 + 1002403 = 1002500
139 + 1002361 = 1002500

Showing the first eight; more decompositions exist.

Hex color

#0F4C04

RGB(15, 76, 4)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.76.4.

Address: 0.15.76.4
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.76.4

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 1,002,500 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 US1,002,500 on Google Patents ↗ Look up on USPTO ↗