Live analysis

1,002,804

1,002,804 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.).

1,002,804 (one million two thousand eight hundred four) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 11 × 71 × 107. Its proper divisors sum to 1,609,932, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4D34.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,002,792 1,002,793 1,002,794 1,002,795 1,002,796 1,002,797 1,002,798 1,002,799 1,002,800 1,002,801 1,002,802 1,002,803 1,002,804 1,002,805 1,002,806 1,002,807 1,002,808 1,002,809 1,002,810 1,002,811 1,002,812 1,002,813 1,002,814 1,002,815 1,002,816

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 4,082,001
Square (n²): 1,005,615,862,416
Cube (n³): 1,008,435,609,294,214,464
Divisor count: 48
σ(n) — sum of divisors: 2,612,736
φ(n) — Euler's totient: 296,800
Sum of prime factors: 196

Primality

Prime factorization: 2 ² × 3 × 11 × 71 × 107

Nearest primes: 1,002,797 (−7) · 1,002,809 (+5)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 11 · 12 · 22 · 33 · 44 · 66 · 71 · 107 · 132 · 142 · 213 · 214 · 284 · 321 · 426 · 428 · 642 · 781 · 852 · 1177 · 1284 · 1562 · 2343 · 2354 · 3124 · 3531 · 4686 · 4708 · 7062 · 7597 · 9372 · 14124 · 15194 · 22791 · 30388 · 45582 · 83567 · 91164 · 167134 · 250701 · 334268 · 501402 (half) · 1002804

Aliquot sum (sum of proper divisors): 1,609,932

Factor pairs (a × b = 1,002,804)

1 × 1002804

2 × 501402

3 × 334268

4 × 250701

6 × 167134

11 × 91164

12 × 83567

22 × 45582

33 × 30388

44 × 22791

66 × 15194

71 × 14124

107 × 9372

132 × 7597

142 × 7062

213 × 4708

214 × 4686

284 × 3531

321 × 3124

426 × 2354

428 × 2343

642 × 1562

781 × 1284

852 × 1177

First multiples

1,002,804 · 2,005,608 (double) · 3,008,412 · 4,011,216 · 5,014,020 · 6,016,824 · 7,019,628 · 8,022,432 · 9,025,236 · 10,028,040

Sums & aliquot sequence

As consecutive integers: 334,267 + 334,268 + 334,269 125,347 + 125,348 + … + 125,354 91,159 + 91,160 + … + 91,169 41,772 + 41,773 + … + 41,795

Aliquot sequence: 1,002,804 → 1,609,932 → 2,146,604 → 1,609,960 → 2,342,840 → 3,074,440 → 3,920,720 → 5,195,140 → 5,758,292 → 4,849,228 → 4,006,052 → 3,167,884 → 2,375,920 → 3,476,384 → 3,367,810 → 2,794,742 → 1,494,994 — unresolved within range

Continued fraction of √n

√1,002,804 = [1001; (2, 2, 38, 1, 6, 1, 2, 1, 2, 6, 1, 1, 3, 3, 9, 1, 28, 1, 1, 4, 2, 166, 2, 4, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: one million two thousand eight hundred four
Ordinal: 1002804th
Binary: 11110100110100110100
Octal: 3646464
Hexadecimal: 0xF4D34
Base64: D000
One's complement: 4,293,964,491 (32-bit)
Scientific notation: 1.002804 × 10⁶
As a duration: 1,002,804 s = 11 days, 14 hours, 33 minutes, 24 seconds

In other bases

ternary (3) 1212221120220

quaternary (4) 3310310310

quinary (5) 224042204

senary (6) 33254340

septenary (7) 11344425

nonary (9) 1787526

undecimal (11) 625470

duodecimal (12) 4043b0

tridecimal (13) 29159a

tetradecimal (14) 1c164c

pentadecimal (15) 14c1d9

As an angle

1,002,804° = 2,785 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Chinese: 一百萬二千八百零四
Chinese (financial): 壹佰萬貳仟捌佰零肆

In other modern scripts

Eastern Arabic ١٠٠٢٨٠٤ Devanagari १००२८०४ Bengali ১০০২৮০৪ Tamil ௧௦௦௨௮௦௪ Thai ๑๐๐๒๘๐๔ Tibetan ༡༠༠༢༨༠༤ Khmer ១០០២៨០៤ Lao ໑໐໐໒໘໐໔ Burmese ၁၀၀၂၈၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002804, here are decompositions:

7 + 1002797 = 1002804
17 + 1002787 = 1002804
31 + 1002773 = 1002804
37 + 1002767 = 1002804
53 + 1002751 = 1002804
83 + 1002721 = 1002804
151 + 1002653 = 1002804
157 + 1002647 = 1002804

Showing the first eight; more decompositions exist.

Hex color

#0F4D34

RGB(15, 77, 52)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.77.52.

Address: 0.15.77.52
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.77.52

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 1,002,804 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 US1,002,804 on Google Patents ↗ Look up on USPTO ↗