Live analysis

1,006,048

1,006,048 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.).

1,006,048 (one million six thousand forty-eight) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 149 × 211. Written other ways, in hexadecimal, 0xF59E0.

Arithmetic Number Deficient Number Odious Number Pernicious Number

Interestingness

★ ☆ ☆ ☆ ☆

1 notable fact · grade F

1,006,036 1,006,037 1,006,038 1,006,039 1,006,040 1,006,041 1,006,042 1,006,043 1,006,044 1,006,045 1,006,046 1,006,047 1,006,048 1,006,049 1,006,050 1,006,051 1,006,052 1,006,053 1,006,054 1,006,055 1,006,056 1,006,057 1,006,058 1,006,059 1,006,060

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 8,406,001
Square (n²): 1,012,132,578,304
Cube (n³): 1,018,253,956,137,582,592
Divisor count: 24
σ(n) — sum of divisors: 2,003,400
φ(n) — Euler's totient: 497,280
Sum of prime factors: 370

Primality

Prime factorization: 2 ⁵ × 149 × 211

Nearest primes: 1,006,037 (−11) · 1,006,063 (+15)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 8 · 16 · 32 · 149 · 211 · 298 · 422 · 596 · 844 · 1192 · 1688 · 2384 · 3376 · 4768 · 6752 · 31439 · 62878 · 125756 · 251512 · 503024 (half) · 1006048

Aliquot sum (sum of proper divisors): 997,352

Factor pairs (a × b = 1,006,048)

1 × 1006048

2 × 503024

4 × 251512

8 × 125756

16 × 62878

32 × 31439

149 × 6752

211 × 4768

298 × 3376

422 × 2384

596 × 1688

844 × 1192

First multiples

1,006,048 · 2,012,096 (double) · 3,018,144 · 4,024,192 · 5,030,240 · 6,036,288 · 7,042,336 · 8,048,384 · 9,054,432 · 10,060,480

Sums & aliquot sequence

As consecutive integers: 15,688 + 15,689 + … + 15,751 6,678 + 6,679 + … + 6,826 4,663 + 4,664 + … + 4,873

Aliquot sequence: 1,006,048 → 997,352 → 872,698 → 461,210 → 418,126 → 209,066 → 190,102 → 121,010 → 96,826 → 48,416 → 53,644 → 40,240 → 53,504 → 69,136 → 70,364 → 73,276 → 73,332 — unresolved within range

Continued fraction of √n

√1,006,048 = [1003; (51, 2, 3, 2, 3, 9, 1, 16, 1, 5, 1, 1, 1, 8, 1, 1, 2, 6, 1, 20, 31, 1, 3, 1, …)]

Representations

In words: one million six thousand forty-eight
Ordinal: 1006048th
Binary: 11110101100111100000
Octal: 3654740
Hexadecimal: 0xF59E0
Base64: D1ng
One's complement: 4,293,961,247 (32-bit)
Scientific notation: 1.006048 × 10⁶
As a duration: 1,006,048 s = 11 days, 15 hours, 27 minutes, 28 seconds

In other bases

ternary (3) 1220010001001

quaternary (4) 3311213200

quinary (5) 224143143

senary (6) 33321344

septenary (7) 11360041

nonary (9) 1803031

undecimal (11) 62794a

duodecimal (12) 406254

tridecimal (13) 292bc4

tetradecimal (14) 1c28c8

pentadecimal (15) 14d14d

As an angle

1,006,048° = 2,794 × 360° + 208°

208° ≈ 3.63 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬六千零四十八
Chinese (financial): 壹佰萬陸仟零肆拾捌

In other modern scripts

Eastern Arabic ١٠٠٦٠٤٨ Devanagari १००६०४८ Bengali ১০০৬০৪৮ Tamil ௧௦௦௬௦௪௮ Thai ๑๐๐๖๐๔๘ Tibetan ༡༠༠༦༠༤༨ Khmer ១០០៦០៤៨ Lao ໑໐໐໖໐໔໘ Burmese ၁၀၀၆၀၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006048, here are decompositions:

11 + 1006037 = 1006048
41 + 1006007 = 1006048
59 + 1005989 = 1006048
89 + 1005959 = 1006048
137 + 1005911 = 1006048
227 + 1005821 = 1006048
347 + 1005701 = 1006048
401 + 1005647 = 1006048

Showing the first eight; more decompositions exist.

Hex color

#0F59E0

RGB(15, 89, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.89.224.

Address: 0.15.89.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.89.224

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 1,006,048 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 US1,006,048 on Google Patents ↗ Look up on USPTO ↗