Live analysis

1,042,144

1,042,144 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.).

1,042,144 (one million forty-two thousand one hundred forty-four) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 29 × 1,123. Its proper divisors sum to 1,082,216, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE6E0.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,042,132 1,042,133 1,042,134 1,042,135 1,042,136 1,042,137 1,042,138 1,042,139 1,042,140 1,042,141 1,042,142 1,042,143 1,042,144 1,042,145 1,042,146 1,042,147 1,042,148 1,042,149 1,042,150 1,042,151 1,042,152 1,042,153 1,042,154 1,042,155 1,042,156

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 4,412,401
Square (n²): 1,086,064,116,736
Cube (n³): 1,131,835,202,871,721,984
Divisor count: 24
σ(n) — sum of divisors: 2,124,360
φ(n) — Euler's totient: 502,656
Sum of prime factors: 1,162

Primality

Prime factorization: 2 ⁵ × 29 × 1123

Nearest primes: 1,042,141 (−3) · 1,042,183 (+39)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 8 · 16 · 29 · 32 · 58 · 116 · 232 · 464 · 928 · 1123 · 2246 · 4492 · 8984 · 17968 · 32567 · 35936 · 65134 · 130268 · 260536 · 521072 (half) · 1042144

Aliquot sum (sum of proper divisors): 1,082,216

Factor pairs (a × b = 1,042,144)

1 × 1042144

2 × 521072

4 × 260536

8 × 130268

16 × 65134

29 × 35936

32 × 32567

58 × 17968

116 × 8984

232 × 4492

464 × 2246

928 × 1123

First multiples

1,042,144 · 2,084,288 (double) · 3,126,432 · 4,168,576 · 5,210,720 · 6,252,864 · 7,295,008 · 8,337,152 · 9,379,296 · 10,421,440

Sums & aliquot sequence

As consecutive integers: 35,922 + 35,923 + … + 35,950 16,252 + 16,253 + … + 16,315 367 + 368 + … + 1,489

Aliquot sequence: 1,042,144 → 1,082,216 → 946,954 → 473,480 → 822,520 → 1,028,240 → 1,362,604 → 1,147,596 → 1,530,156 → 2,164,164 → 2,885,580 → 7,021,044 → 10,726,686 → 12,514,506 → 13,130,742 → 13,771,770 → 22,015,110 — unresolved within range

Continued fraction of √n

√1,042,144 = [1020; (1, 5, 1, 6, 1, 225, 1, 60, 1, 6, 1, 24, 3, 61, 1, 1, 5, 1, 1, 2, 3, 1, 6, 6, …)]

Representations

In words: one million forty-two thousand one hundred forty-four
Ordinal: 1042144th
Binary: 11111110011011100000
Octal: 3763340
Hexadecimal: 0xFE6E0
Base64: D+bg
One's complement: 4,293,925,151 (32-bit)
Scientific notation: 1.042144 × 10⁶
As a duration: 1,042,144 s = 12 days, 1 hour, 29 minutes, 4 seconds

In other bases

ternary (3) 1221221112221

quaternary (4) 3332123200

quinary (5) 231322034

senary (6) 34200424

septenary (7) 11600215

nonary (9) 1857487

undecimal (11) 651a84

duodecimal (12) 423114

tridecimal (13) 2a646c

tetradecimal (14) 1d1b0c

pentadecimal (15) 158bb4

As an angle

1,042,144° = 2,894 × 360° + 304°

304° ≈ 5.306 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百零四萬二千一百四十四
Chinese (financial): 壹佰零肆萬貳仟壹佰肆拾肆

In other modern scripts

Eastern Arabic ١٠٤٢١٤٤ Devanagari १०४२१४४ Bengali ১০৪২১৪৪ Tamil ௧௦௪௨௧௪௪ Thai ๑๐๔๒๑๔๔ Tibetan ༡༠༤༢༡༤༤ Khmer ១០៤២១៤៤ Lao ໑໐໔໒໑໔໔ Burmese ၁၀၄၂၁၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1042144, here are decompositions:

3 + 1042141 = 1042144
11 + 1042133 = 1042144
23 + 1042121 = 1042144
41 + 1042103 = 1042144
53 + 1042091 = 1042144
101 + 1042043 = 1042144
251 + 1041893 = 1042144
281 + 1041863 = 1042144

Showing the first eight; more decompositions exist.

Hex color

#0FE6E0

RGB(15, 230, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.230.224.

Address: 0.15.230.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.230.224

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 4, 2144 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

2144-04-01 (DMMYYYY (Euro, single-digit day))
2144-10-04 (MMDYYYY (US, single-digit day))
2144-04-10 (DDMYYYY (Euro, single-digit month))

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 1,042,144 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,042,144 on Google Patents ↗ Look up on USPTO ↗