Live analysis

1,010,442

1,010,442 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.).

1,010,442 (one million ten thousand four hundred forty-two) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 83 × 2,029. Its proper divisors sum to 1,035,798, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6B0A.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,010,430 1,010,431 1,010,432 1,010,433 1,010,434 1,010,435 1,010,436 1,010,437 1,010,438 1,010,439 1,010,440 1,010,441 1,010,442 1,010,443 1,010,444 1,010,445 1,010,446 1,010,447 1,010,448 1,010,449 1,010,450 1,010,451 1,010,452 1,010,453 1,010,454

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 2,440,101
Square (n²): 1,020,993,035,364
Cube (n³): 1,031,654,244,639,270,888
Divisor count: 16
σ(n) — sum of divisors: 2,046,240
φ(n) — Euler's totient: 332,592
Sum of prime factors: 2,117

Primality

Prime factorization: 2 × 3 × 83 × 2029

Nearest primes: 1,010,431 (−11) · 1,010,461 (+19)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 83 · 166 · 249 · 498 · 2029 · 4058 · 6087 · 12174 · 168407 · 336814 · 505221 (half) · 1010442

Aliquot sum (sum of proper divisors): 1,035,798

Factor pairs (a × b = 1,010,442)

1 × 1010442

2 × 505221

3 × 336814

6 × 168407

83 × 12174

166 × 6087

249 × 4058

498 × 2029

First multiples

1,010,442 · 2,020,884 (double) · 3,031,326 · 4,041,768 · 5,052,210 · 6,062,652 · 7,073,094 · 8,083,536 · 9,093,978 · 10,104,420

Sums & aliquot sequence

As consecutive integers: 336,813 + 336,814 + 336,815 252,609 + 252,610 + 252,611 + 252,612 84,198 + 84,199 + … + 84,209 12,133 + 12,134 + … + 12,215

Aliquot sequence: 1,010,442 → 1,035,798 → 1,035,810 → 1,819,926 → 2,123,286 → 2,604,522 → 2,604,534 → 2,620,938 → 2,673,078 → 2,787,402 → 2,829,750 → 6,155,850 → 9,111,030 → 12,856,170 → 17,998,710 → 25,339,530 → 35,475,414 — unresolved within range

Continued fraction of √n

√1,010,442 = [1005; (4, 1, 4, 1, 1, 2, 1, 4, 2, 1, 1, 15, 4, 4, 1, 8, 1, 1, 2, 2, 3, 1, 1, 3, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words: one million ten thousand four hundred forty-two
Ordinal: 1010442nd
Binary: 11110110101100001010
Octal: 3665412
Hexadecimal: 0xF6B0A
Base64: D2sK
One's complement: 4,293,956,853 (32-bit)
Scientific notation: 1.010442 × 10⁶
As a duration: 1,010,442 s = 11 days, 16 hours, 40 minutes, 42 seconds

In other bases

ternary (3) 1220100001210

quaternary (4) 3312230022

quinary (5) 224313232

senary (6) 33353550

septenary (7) 11405616

nonary (9) 1810053

undecimal (11) 630184

duodecimal (12) 4088b6

tridecimal (13) 294bc4

tetradecimal (14) 1c4346

pentadecimal (15) 14e5cc

As an angle

1,010,442° = 2,806 × 360° + 282°

282° ≈ 4.922 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零一萬零四百四十二
Chinese (financial): 壹佰零壹萬零肆佰肆拾貳

In other modern scripts

Eastern Arabic ١٠١٠٤٤٢ Devanagari १०१०४४२ Bengali ১০১০৪৪২ Tamil ௧௦௧௦௪௪௨ Thai ๑๐๑๐๔๔๒ Tibetan ༡༠༡༠༤༤༢ Khmer ១០១០៤៤២ Lao ໑໐໑໐໔໔໒ Burmese ၁၀၁၀၄၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010442, here are decompositions:

11 + 1010431 = 1010442
19 + 1010423 = 1010442
23 + 1010419 = 1010442
31 + 1010411 = 1010442
61 + 1010381 = 1010442
89 + 1010353 = 1010442
113 + 1010329 = 1010442
151 + 1010291 = 1010442

Showing the first eight; more decompositions exist.

Hex color

#0F6B0A

RGB(15, 107, 10)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.107.10.

Address: 0.15.107.10
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.107.10

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 0442 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

0442-10-01 (MMDYYYY (US, single-digit day))
0442-01-10 (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 1,010,442 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 US1,010,442 on Google Patents ↗ Look up on USPTO ↗