Live analysis

1,006,272

1,006,272 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.).

1,006,272 (one million six thousand two hundred seventy-two) is an even 7-digit number. It is a composite number with 42 divisors, and factors as 2⁶ × 3² × 1,747. Its proper divisors sum to 1,879,676, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5AC0.

Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,006,260 1,006,261 1,006,262 1,006,263 1,006,264 1,006,265 1,006,266 1,006,267 1,006,268 1,006,269 1,006,270 1,006,271 1,006,272 1,006,273 1,006,274 1,006,275 1,006,276 1,006,277 1,006,278 1,006,279 1,006,280 1,006,281 1,006,282 1,006,283 1,006,284

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 2,726,001
Square (n²): 1,012,583,337,984
Cube (n³): 1,018,934,260,679,835,648
Divisor count: 42
σ(n) — sum of divisors: 2,885,948
φ(n) — Euler's totient: 335,232
Sum of prime factors: 1,765

Primality

Prime factorization: 2 ⁶ × 3 ² × 1747

Nearest primes: 1,006,267 (−5) · 1,006,279 (+7)

Divisors & multiples

All divisors (42)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 32 · 36 · 48 · 64 · 72 · 96 · 144 · 192 · 288 · 576 · 1747 · 3494 · 5241 · 6988 · 10482 · 13976 · 15723 · 20964 · 27952 · 31446 · 41928 · 55904 · 62892 · 83856 · 111808 · 125784 · 167712 · 251568 · 335424 · 503136 (half) · 1006272

Aliquot sum (sum of proper divisors): 1,879,676

Factor pairs (a × b = 1,006,272)

1 × 1006272

2 × 503136

3 × 335424

4 × 251568

6 × 167712

8 × 125784

9 × 111808

12 × 83856

16 × 62892

18 × 55904

24 × 41928

32 × 31446

36 × 27952

48 × 20964

64 × 15723

72 × 13976

96 × 10482

144 × 6988

192 × 5241

288 × 3494

576 × 1747

First multiples

1,006,272 · 2,012,544 (double) · 3,018,816 · 4,025,088 · 5,031,360 · 6,037,632 · 7,043,904 · 8,050,176 · 9,056,448 · 10,062,720

Sums & aliquot sequence

As consecutive integers: 335,423 + 335,424 + 335,425 111,804 + 111,805 + … + 111,812 7,798 + 7,799 + … + 7,925 2,429 + 2,430 + … + 2,812

Aliquot sequence: 1,006,272 → 1,879,676 → 1,409,764 → 1,057,330 → 845,882 → 426,874 → 304,934 → 241,114 → 120,560 → 187,456 → 201,164 → 150,880 → 230,144 → 260,416 → 297,876 → 406,828 → 364,292 — unresolved within range

Continued fraction of √n

√1,006,272 = [1003; (7, 1, 1, 1, 2, 5, 16, 1, 2, 16, 4, 6, 1, 1, 27, 1, 2, 1, 1, 2, 1, 9, 1, 1, …)]

Representations

In words: one million six thousand two hundred seventy-two
Ordinal: 1006272nd
Binary: 11110101101011000000
Octal: 3655300
Hexadecimal: 0xF5AC0
Base64: D1rA
One's complement: 4,293,961,023 (32-bit)
Scientific notation: 1.006272 × 10⁶
As a duration: 1,006,272 s = 11 days, 15 hours, 31 minutes, 12 seconds

In other bases

ternary (3) 1220010100100

quaternary (4) 3311223000

quinary (5) 224200042

senary (6) 33322400

septenary (7) 11360511

nonary (9) 1803310

undecimal (11) 628033

duodecimal (12) 406400

tridecimal (13) 293037

tetradecimal (14) 1c2a08

pentadecimal (15) 14d24c

As an angle

1,006,272° = 2,795 × 360° + 72°

72° ≈ 1.257 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬六千二百七十二
Chinese (financial): 壹佰萬陸仟貳佰柒拾貳

In other modern scripts

Eastern Arabic ١٠٠٦٢٧٢ Devanagari १००६२७२ Bengali ১০০৬২৭২ Tamil ௧௦௦௬௨௭௨ Thai ๑๐๐๖๒๗๒ Tibetan ༡༠༠༦༢༧༢ Khmer ១០០៦២៧២ Lao ໑໐໐໖໒໗໒ Burmese ၁၀၀၆၂၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006272, here are decompositions:

5 + 1006267 = 1006272
19 + 1006253 = 1006272
23 + 1006249 = 1006272
31 + 1006241 = 1006272
41 + 1006231 = 1006272
53 + 1006219 = 1006272
79 + 1006193 = 1006272
83 + 1006189 = 1006272

Showing the first eight; more decompositions exist.

Hex color

#0F5AC0

RGB(15, 90, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.90.192.

Address: 0.15.90.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.90.192

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 1,006,272 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 US1,006,272 on Google Patents ↗ Look up on USPTO ↗