Live analysis

1,004,200

1,004,200 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.).

1,004,200 (one million four thousand two hundred) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2³ × 5² × 5,021. Its proper divisors sum to 1,331,030, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF52A8.

Abundant Number Evil Number Gapful Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,004,188 1,004,189 1,004,190 1,004,191 1,004,192 1,004,193 1,004,194 1,004,195 1,004,196 1,004,197 1,004,198 1,004,199 1,004,200 1,004,201 1,004,202 1,004,203 1,004,204 1,004,205 1,004,206 1,004,207 1,004,208 1,004,209 1,004,210 1,004,211 1,004,212

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 24,001
Square (n²): 1,008,417,640,000
Cube (n³): 1,012,652,994,088,000,000
Divisor count: 24
σ(n) — sum of divisors: 2,335,230
φ(n) — Euler's totient: 401,600
Sum of prime factors: 5,037

Primality

Prime factorization: 2 ³ × 5 ² × 5021

Nearest primes: 1,004,167 (−33) · 1,004,209 (+9)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 40 · 50 · 100 · 200 · 5021 · 10042 · 20084 · 25105 · 40168 · 50210 · 100420 · 125525 · 200840 · 251050 · 502100 (half) · 1004200

Aliquot sum (sum of proper divisors): 1,331,030

Factor pairs (a × b = 1,004,200)

1 × 1004200

2 × 502100

4 × 251050

5 × 200840

8 × 125525

10 × 100420

20 × 50210

25 × 40168

40 × 25105

50 × 20084

100 × 10042

200 × 5021

First multiples

1,004,200 · 2,008,400 (double) · 3,012,600 · 4,016,800 · 5,021,000 · 6,025,200 · 7,029,400 · 8,033,600 · 9,037,800 · 10,042,000

Sums & aliquot sequence

As a sum of two squares: 14² + 1,002² = 294² + 958² = 590² + 810²

As consecutive integers: 200,838 + 200,839 + 200,840 + 200,841 + 200,842 62,755 + 62,756 + … + 62,770 40,156 + 40,157 + … + 40,180 12,513 + 12,514 + … + 12,592

Aliquot sequence: 1,004,200 → 1,331,030 → 1,064,842 → 532,424 → 465,886 → 242,738 → 121,372 → 102,348 → 156,456 → 285,804 → 480,780 → 978,132 → 1,366,924 → 1,245,364 → 934,030 → 890,738 → 481,594 — unresolved within range

Continued fraction of √n

√1,004,200 = [1002; (10, 4, 2, 4, 55, 2, 4, 4, 3, 9, 1, 1, 1, 24, 11, 2, 2, 2, 1, 14, 1, 4, 1, 8, …)]

Representations

In words: one million four thousand two hundred
Ordinal: 1004200th
Binary: 11110101001010101000
Octal: 3651250
Hexadecimal: 0xF52A8
Base64: D1Ko
One's complement: 4,293,963,095 (32-bit)
Scientific notation: 1.0042 × 10⁶
As a duration: 1,004,200 s = 11 days, 14 hours, 56 minutes, 40 seconds

In other bases

ternary (3) 1220000111121

quaternary (4) 3311022220

quinary (5) 224113300

senary (6) 33305024

septenary (7) 11351461

nonary (9) 1800447

undecimal (11) 62651a

duodecimal (12) 405174

tridecimal (13) 292102

tetradecimal (14) 1c1d68

pentadecimal (15) 14c81a

As an angle

1,004,200° = 2,789 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢
Chinese: 一百萬四千二百
Chinese (financial): 壹佰萬肆仟貳佰

In other modern scripts

Eastern Arabic ١٠٠٤٢٠٠ Devanagari १००४२०० Bengali ১০০৪২০০ Tamil ௧௦௦௪௨௦௦ Thai ๑๐๐๔๒๐๐ Tibetan ༡༠༠༤༢༠༠ Khmer ១០០៤២០០ Lao ໑໐໐໔໒໐໐ Burmese ၁၀၀၄၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004200, here are decompositions:

59 + 1004141 = 1004200
83 + 1004117 = 1004200
137 + 1004063 = 1004200
167 + 1004033 = 1004200
173 + 1004027 = 1004200
257 + 1003943 = 1004200
269 + 1003931 = 1004200
293 + 1003907 = 1004200

Showing the first eight; more decompositions exist.

Hex color

#0F52A8

RGB(15, 82, 168)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.168.

Address: 0.15.82.168
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.168

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 1,004,200 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 US1,004,200 on Google Patents ↗ Look up on USPTO ↗