Live analysis

1,000,144

1,000,144 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.).

Abundant Number Odious Number Self Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,000,132 1,000,133 1,000,134 1,000,135 1,000,136 1,000,137 1,000,138 1,000,139 1,000,140 1,000,141 1,000,142 1,000,143 1,000,144 1,000,145 1,000,146 1,000,147 1,000,148 1,000,149 1,000,150 1,000,151 1,000,152 1,000,153 1,000,154 1,000,155 1,000,156

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 4,410,001
Square (n²): 1,000,288,020,736
Cube (n³): 1,000,432,062,210,985,984
Divisor count: 20
σ(n) — sum of divisors: 2,052,324
φ(n) — Euler's totient: 470,528
Sum of prime factors: 3,702

Primality

Prime factorization: 2 ⁴ × 17 × 3677

Nearest primes: 1,000,133 (−11) · 1,000,151 (+7)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 8 · 16 · 17 · 34 · 68 · 136 · 272 · 3677 · 7354 · 14708 · 29416 · 58832 · 62509 · 125018 · 250036 · 500072 (half) · 1000144

Aliquot sum (sum of proper divisors): 1,052,180

Factor pairs (a × b = 1,000,144)

1 × 1000144

2 × 500072

4 × 250036

8 × 125018

16 × 62509

17 × 58832

34 × 29416

68 × 14708

136 × 7354

272 × 3677

First multiples

1,000,144 · 2,000,288 (double) · 3,000,432 · 4,000,576 · 5,000,720 · 6,000,864 · 7,001,008 · 8,001,152 · 9,001,296 · 10,001,440

Sums & aliquot sequence

As a sum of two squares: 12² + 1,000² = 460² + 888²

As consecutive integers: 58,824 + 58,825 + … + 58,840 31,239 + 31,240 + … + 31,270 1,567 + 1,568 + … + 2,110

Aliquot sequence: 1,000,144 → 1,052,180 → 1,157,440 → 1,599,476 → 1,290,124 → 1,204,676 → 1,253,164 → 1,266,836 → 1,075,084 → 806,320 → 1,068,560 → 1,624,348 → 1,802,852 → 1,429,384 → 1,580,216 → 1,652,224 → 2,128,784 — unresolved within range

Continued fraction of √n

√1,000,144 = [1000; (13, 1, 8, 24, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 3, 7, 1, 1, 17, 2, 18, 1, 13, 1, …)]

Representations

In words: one million one hundred forty-four
Ordinal: 1000144th
Binary: 11110100001011010000
Octal: 3641320
Hexadecimal: 0xF42D0
Base64: D0LQ
One's complement: 4,293,967,151 (32-bit)
Scientific notation: 1.000144 × 10⁶
As a duration: 1,000,144 s = 11 days, 13 hours, 49 minutes, 4 seconds

In other bases

ternary (3) 1212210221101

quaternary (4) 3310023100

quinary (5) 224001034

senary (6) 33234144

septenary (7) 11333605

nonary (9) 1783841

undecimal (11) 623472

duodecimal (12) 402954

tridecimal (13) 290302

tetradecimal (14) 1c06ac

pentadecimal (15) 14b514

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬零一百四十四
Chinese (financial): 壹佰萬零壹佰肆拾肆

In other modern scripts

Eastern Arabic ١٠٠٠١٤٤ Devanagari १०००१४४ Bengali ১০০০১৪৪ Tamil ௧௦௦௦௧௪௪ Thai ๑๐๐๐๑๔๔ Tibetan ༡༠༠༠༡༤༤ Khmer ១០០០១៤៤ Lao ໑໐໐໐໑໔໔ Burmese ၁၀၀၀၁၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000144, here are decompositions:

11 + 1000133 = 1000144
23 + 1000121 = 1000144
107 + 1000037 = 1000144
191 + 999953 = 1000144
227 + 999917 = 1000144
281 + 999863 = 1000144
461 + 999683 = 1000144
491 + 999653 = 1000144

Showing the first eight; more decompositions exist.

Hex color

#0F42D0

RGB(15, 66, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.66.208.

Address: 0.15.66.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.66.208

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 1,000,144 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 US1,000,144 on Google Patents ↗ Look up on USPTO ↗