Live analysis

1,005,042

1,005,042 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.).

1,005,042 (one million five thousand forty-two) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 191 × 877. Its proper divisors sum to 1,017,870, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF55F2.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,005,030 1,005,031 1,005,032 1,005,033 1,005,034 1,005,035 1,005,036 1,005,037 1,005,038 1,005,039 1,005,040 1,005,041 1,005,042 1,005,043 1,005,044 1,005,045 1,005,046 1,005,047 1,005,048 1,005,049 1,005,050 1,005,051 1,005,052 1,005,053 1,005,054

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 2,405,001
Square (n²): 1,010,109,421,764
Cube (n³): 1,015,202,393,468,534,088
Divisor count: 16
σ(n) — sum of divisors: 2,022,912
φ(n) — Euler's totient: 332,880
Sum of prime factors: 1,073

Primality

Prime factorization: 2 × 3 × 191 × 877

Nearest primes: 1,005,041 (−1) · 1,005,049 (+7)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 191 · 382 · 573 · 877 · 1146 · 1754 · 2631 · 5262 · 167507 · 335014 · 502521 (half) · 1005042

Aliquot sum (sum of proper divisors): 1,017,870

Factor pairs (a × b = 1,005,042)

1 × 1005042

2 × 502521

3 × 335014

6 × 167507

191 × 5262

382 × 2631

573 × 1754

877 × 1146

First multiples

1,005,042 · 2,010,084 (double) · 3,015,126 · 4,020,168 · 5,025,210 · 6,030,252 · 7,035,294 · 8,040,336 · 9,045,378 · 10,050,420

Sums & aliquot sequence

As consecutive integers: 335,013 + 335,014 + 335,015 251,259 + 251,260 + 251,261 + 251,262 83,748 + 83,749 + … + 83,759 5,167 + 5,168 + … + 5,357

Aliquot sequence: 1,005,042 → 1,017,870 → 1,871,346 → 1,992,462 → 2,047,938 → 2,047,950 → 3,889,170 → 6,369,390 → 12,028,626 → 14,739,258 → 14,776,998 → 15,065,178 → 15,576,582 → 20,027,130 → 28,367,238 → 28,514,922 → 28,663,350 — unresolved within range

Continued fraction of √n

√1,005,042 = [1002; (1, 1, 13, 1, 1, 11, 2, 1, 7, 1, 13, 7, 3, 16, 3, 1, 27, 2, 17, 1, 1, 2, 1, 24, …)]

Representations

In words: one million five thousand forty-two
Ordinal: 1005042nd
Binary: 11110101010111110010
Octal: 3652762
Hexadecimal: 0xF55F2
Base64: D1Xy
One's complement: 4,293,962,253 (32-bit)
Scientific notation: 1.005042 × 10⁶
As a duration: 1,005,042 s = 11 days, 15 hours, 10 minutes, 42 seconds

In other bases

ternary (3) 1220001122210

quaternary (4) 3311113302

quinary (5) 224130132

senary (6) 33312550

septenary (7) 11354103

nonary (9) 1801583

undecimal (11) 627115

duodecimal (12) 405756

tridecimal (13) 2925cc

tetradecimal (14) 1c23aa

pentadecimal (15) 14cbcc

As an angle

1,005,042° = 2,791 × 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 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬五千零四十二
Chinese (financial): 壹佰萬伍仟零肆拾貳

In other modern scripts

Eastern Arabic ١٠٠٥٠٤٢ Devanagari १००५०४२ Bengali ১০০৫০৪২ Tamil ௧௦௦௫௦௪௨ Thai ๑๐๐๕๐๔๒ Tibetan ༡༠༠༥༠༤༢ Khmer ១០០៥០៤២ Lao ໑໐໐໕໐໔໒ Burmese ၁၀၀၅၀၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1005042, here are decompositions:

13 + 1005029 = 1005042
23 + 1005019 = 1005042
29 + 1005013 = 1005042
61 + 1004981 = 1005042
79 + 1004963 = 1005042
131 + 1004911 = 1005042
139 + 1004903 = 1005042
263 + 1004779 = 1005042

Showing the first eight; more decompositions exist.

Hex color

#0F55F2

RGB(15, 85, 242)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.85.242.

Address: 0.15.85.242
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.85.242

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 1,005,042 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 US1,005,042 on Google Patents ↗ Look up on USPTO ↗