Live analysis

1,006,144

1,006,144 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.).

1,006,144 (one million six thousand one hundred forty-four) is an even 7-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 79 × 199. Its proper divisors sum to 1,025,856, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5A40.

Abundant Number Happy Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,006,132 1,006,133 1,006,134 1,006,135 1,006,136 1,006,137 1,006,138 1,006,139 1,006,140 1,006,141 1,006,142 1,006,143 1,006,144 1,006,145 1,006,146 1,006,147 1,006,148 1,006,149 1,006,150 1,006,151 1,006,152 1,006,153 1,006,154 1,006,155 1,006,156

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 4,416,001
Square (n²): 1,012,325,748,736
Cube (n³): 1,018,545,478,136,233,984
Divisor count: 28
σ(n) — sum of divisors: 2,032,000
φ(n) — Euler's totient: 494,208
Sum of prime factors: 290

Primality

Prime factorization: 2 ⁶ × 79 × 199

Nearest primes: 1,006,133 (−11) · 1,006,147 (+3)

Divisors & multiples

All divisors (28)

1 · 2 · 4 · 8 · 16 · 32 · 64 · 79 · 158 · 199 · 316 · 398 · 632 · 796 · 1264 · 1592 · 2528 · 3184 · 5056 · 6368 · 12736 · 15721 · 31442 · 62884 · 125768 · 251536 · 503072 (half) · 1006144

Aliquot sum (sum of proper divisors): 1,025,856

Factor pairs (a × b = 1,006,144)

1 × 1006144

2 × 503072

4 × 251536

8 × 125768

16 × 62884

32 × 31442

64 × 15721

79 × 12736

158 × 6368

199 × 5056

316 × 3184

398 × 2528

632 × 1592

796 × 1264

First multiples

1,006,144 · 2,012,288 (double) · 3,018,432 · 4,024,576 · 5,030,720 · 6,036,864 · 7,043,008 · 8,049,152 · 9,055,296 · 10,061,440

Sums & aliquot sequence

As consecutive integers: 12,697 + 12,698 + … + 12,775 7,797 + 7,798 + … + 7,924 4,957 + 4,958 + … + 5,155

Aliquot sequence: 1,006,144 → 1,025,856 → 2,163,876 → 3,861,948 → 5,149,292 → 3,861,976 → 3,798,824 → 3,381,976 → 3,674,024 → 3,239,596 → 2,690,776 → 2,813,264 → 2,637,466 → 1,875,098 → 1,059,910 → 872,426 → 440,314 — unresolved within range

Continued fraction of √n

√1,006,144 = [1003; (14, 1, 6, 7, 1, 1, 1, 21, 1, 7, 1, 24, 5, 3, 4, 3, 51, 7, 1, 2, 3, 2, 2, 19, …)]

Representations

In words: one million six thousand one hundred forty-four
Ordinal: 1006144th
Binary: 11110101101001000000
Octal: 3655100
Hexadecimal: 0xF5A40
Base64: D1pA
One's complement: 4,293,961,151 (32-bit)
Scientific notation: 1.006144 × 10⁶
As a duration: 1,006,144 s = 11 days, 15 hours, 29 minutes, 4 seconds

In other bases

ternary (3) 1220010011121

quaternary (4) 3311221000

quinary (5) 224144034

senary (6) 33322024

septenary (7) 11360236

nonary (9) 1803147

undecimal (11) 627a27

duodecimal (12) 406314

tridecimal (13) 292c69

tetradecimal (14) 1c2956

pentadecimal (15) 14d1b4

As an angle

1,006,144° = 2,794 × 360° + 304°

304° ≈ 5.306 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬六千一百四十四
Chinese (financial): 壹佰萬陸仟壹佰肆拾肆

In other modern scripts

Eastern Arabic ١٠٠٦١٤٤ Devanagari १००६१४४ Bengali ১০০৬১৪৪ Tamil ௧௦௦௬௧௪௪ Thai ๑๐๐๖๑๔๔ Tibetan ༡༠༠༦༡༤༤ Khmer ១០០៦១៤៤ Lao ໑໐໐໖໑໔໔ Burmese ၁၀၀၆၁၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006144, here are decompositions:

11 + 1006133 = 1006144
53 + 1006091 = 1006144
107 + 1006037 = 1006144
137 + 1006007 = 1006144
173 + 1005971 = 1006144
233 + 1005911 = 1006144
311 + 1005833 = 1006144
317 + 1005827 = 1006144

Showing the first eight; more decompositions exist.

Hex color

#0F5A40

RGB(15, 90, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.90.64.

Address: 0.15.90.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.90.64

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 1,006,144 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 US1,006,144 on Google Patents ↗ Look up on USPTO ↗