Live analysis

1,049,742

1,049,742 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.).

1,049,742 (one million forty-nine thousand seven hundred forty-two) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 29 × 2,011. Its proper divisors sum to 1,304,298, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x10048E.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,049,730 1,049,731 1,049,732 1,049,733 1,049,734 1,049,735 1,049,736 1,049,737 1,049,738 1,049,739 1,049,740 1,049,741 1,049,742 1,049,743 1,049,744 1,049,745 1,049,746 1,049,747 1,049,748 1,049,749 1,049,750 1,049,751 1,049,752 1,049,753 1,049,754

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 27
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 21 bits
Reversed: 2,479,401
Square (n²): 1,101,958,266,564
Cube (n³): 1,156,771,874,659,426,488
Divisor count: 24
σ(n) — sum of divisors: 2,354,040
φ(n) — Euler's totient: 337,680
Sum of prime factors: 2,048

Primality

Prime factorization: 2 × 3 ² × 29 × 2011

Nearest primes: 1,049,717 (−25) · 1,049,747 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 9 · 18 · 29 · 58 · 87 · 174 · 261 · 522 · 2011 · 4022 · 6033 · 12066 · 18099 · 36198 · 58319 · 116638 · 174957 · 349914 · 524871 (half) · 1049742

Aliquot sum (sum of proper divisors): 1,304,298

Factor pairs (a × b = 1,049,742)

1 × 1049742

2 × 524871

3 × 349914

6 × 174957

9 × 116638

18 × 58319

29 × 36198

58 × 18099

87 × 12066

174 × 6033

261 × 4022

522 × 2011

First multiples

1,049,742 · 2,099,484 (double) · 3,149,226 · 4,198,968 · 5,248,710 · 6,298,452 · 7,348,194 · 8,397,936 · 9,447,678 · 10,497,420

Sums & aliquot sequence

As consecutive integers: 349,913 + 349,914 + 349,915 262,434 + 262,435 + 262,436 + 262,437 116,634 + 116,635 + … + 116,642 87,473 + 87,474 + … + 87,484

Aliquot sequence: 1,049,742 → 1,304,298 → 1,521,720 → 3,554,280 → 8,402,940 → 25,842,180 → 63,232,764 → 105,388,164 → 199,067,260 → 278,694,500 → 416,935,708 → 433,956,292 → 514,692,668 → 535,287,004 → 581,835,044 → 581,835,100 → 1,133,055,140 — unresolved within range

Continued fraction of √n

√1,049,742 = [1024; (1, 1, 3, 8, 1, 3, 1, 1, 2, 1, 32, 3, 70, 3, 32, 1, 2, 1, 1, 3, 1, 8, 3, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: one million forty-nine thousand seven hundred forty-two
Ordinal: 1049742nd
Binary: 100000000010010001110
Octal: 4002216
Hexadecimal: 0x10048E
Base64: EASO
One's complement: 4,293,917,553 (32-bit)
Scientific notation: 1.049742 × 10⁶
As a duration: 1,049,742 s = 12 days, 3 hours, 35 minutes, 42 seconds

In other bases

ternary (3) 1222022222100

quaternary (4) 10000102032

quinary (5) 232042432

senary (6) 34255530

septenary (7) 11631321

nonary (9) 1868870

undecimal (11) 657761

duodecimal (12) 4275a6

tridecimal (13) 2a9a65

tetradecimal (14) 1d47b8

pentadecimal (15) 15b07c

As an angle

1,049,742° = 2,915 × 360° + 342°

342° ≈ 5.969 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零四萬九千七百四十二
Chinese (financial): 壹佰零肆萬玖仟柒佰肆拾貳

In other modern scripts

Eastern Arabic ١٠٤٩٧٤٢ Devanagari १०४९७४२ Bengali ১০৪৯৭৪২ Tamil ௧௦௪௯௭௪௨ Thai ๑๐๔๙๗๔๒ Tibetan ༡༠༤༩༧༤༢ Khmer ១០៤៩៧៤២ Lao ໑໐໔໙໗໔໒ Burmese ၁၀၄၉၇၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1049742, here are decompositions:

59 + 1049683 = 1049742
61 + 1049681 = 1049742
79 + 1049663 = 1049742
103 + 1049639 = 1049742
131 + 1049611 = 1049742
139 + 1049603 = 1049742
173 + 1049569 = 1049742
193 + 1049549 = 1049742

Showing the first eight; more decompositions exist.

Hex color

#10048E

RGB(16, 4, 142)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.4.142.

Address: 0.16.4.142
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.4.142

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 4, 9742 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

9742-04-01 (DMMYYYY (Euro, single-digit day))
9742-10-04 (MMDYYYY (US, single-digit day))
9742-04-10 (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 1,049,742 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 US1,049,742 on Google Patents ↗ Look up on USPTO ↗