Live analysis

1,006,044

1,006,044 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.).

1,006,044 (one million six thousand forty-four) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 13 × 6,449. Its proper divisors sum to 1,522,356, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF59DC.

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

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,006,032 1,006,033 1,006,034 1,006,035 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 4,406,001
Square (n²): 1,012,124,529,936
Cube (n³): 1,018,241,810,594,933,184
Divisor count: 24
σ(n) — sum of divisors: 2,528,400
φ(n) — Euler's totient: 309,504
Sum of prime factors: 6,469

Primality

Prime factorization: 2 ² × 3 × 13 × 6449

Nearest primes: 1,006,037 (−7) · 1,006,063 (+19)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 13 · 26 · 39 · 52 · 78 · 156 · 6449 · 12898 · 19347 · 25796 · 38694 · 77388 · 83837 · 167674 · 251511 · 335348 · 503022 (half) · 1006044

Aliquot sum (sum of proper divisors): 1,522,356

Factor pairs (a × b = 1,006,044)

1 × 1006044

2 × 503022

3 × 335348

4 × 251511

6 × 167674

12 × 83837

13 × 77388

26 × 38694

39 × 25796

52 × 19347

78 × 12898

156 × 6449

First multiples

1,006,044 · 2,012,088 (double) · 3,018,132 · 4,024,176 · 5,030,220 · 6,036,264 · 7,042,308 · 8,048,352 · 9,054,396 · 10,060,440

Sums & aliquot sequence

As consecutive integers: 335,347 + 335,348 + 335,349 125,752 + 125,753 + … + 125,759 77,382 + 77,383 + … + 77,394 41,907 + 41,908 + … + 41,930

Aliquot sequence: 1,006,044 → 1,522,356 → 2,563,404 → 3,733,236 → 6,693,964 → 5,060,324 → 3,795,250 → 4,291,790 → 3,483,778 → 1,753,790 → 1,442,578 → 751,982 → 734,098 → 367,052 → 367,108 → 380,618 → 293,686 — unresolved within range

Continued fraction of √n

√1,006,044 = [1003; (57, 3, 5, 1, 1, 1, 10, 1, 1, 3, 1, 3, 12, 1, 2, 9, 1, 8, 2, 1, 13, 1, 1, 1, …)]

Representations

In words: one million six thousand forty-four
Ordinal: 1006044th
Binary: 11110101100111011100
Octal: 3654734
Hexadecimal: 0xF59DC
Base64: D1nc
One's complement: 4,293,961,251 (32-bit)
Scientific notation: 1.006044 × 10⁶
As a duration: 1,006,044 s = 11 days, 15 hours, 27 minutes, 24 seconds

In other bases

ternary (3) 1220010000220

quaternary (4) 3311213130

quinary (5) 224143134

senary (6) 33321340

septenary (7) 11360034

nonary (9) 1803026

undecimal (11) 627946

duodecimal (12) 406250

tridecimal (13) 292bc0

tetradecimal (14) 1c28c4

pentadecimal (15) 14d149

As an angle

1,006,044° = 2,794 × 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 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬六千零四十四
Chinese (financial): 壹佰萬陸仟零肆拾肆

In other modern scripts

Eastern Arabic ١٠٠٦٠٤٤ Devanagari १००६०४४ Bengali ১০০৬০৪৪ Tamil ௧௦௦௬௦௪௪ Thai ๑๐๐๖๐๔๔ Tibetan ༡༠༠༦༠༤༤ Khmer ១០០៦០៤៤ Lao ໑໐໐໖໐໔໔ Burmese ၁၀၀၆၀၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006044, here are decompositions:

7 + 1006037 = 1006044
23 + 1006021 = 1006044
37 + 1006007 = 1006044
41 + 1006003 = 1006044
73 + 1005971 = 1006044
107 + 1005937 = 1006044
113 + 1005931 = 1006044
131 + 1005913 = 1006044

Showing the first eight; more decompositions exist.

Hex color

#0F59DC

RGB(15, 89, 220)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.89.220.

Address: 0.15.89.220
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.89.220

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 1,006,044 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 US1,006,044 on Google Patents ↗ Look up on USPTO ↗