Live analysis

1,007,042

1,007,042 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.).

1,007,042 (one million seven thousand forty-two) is an even 7-digit number. It is a composite number with 8 divisors, and factors as 2 × 41 × 12,281. Written other ways, in hexadecimal, 0xF5DC2.

Cube-Free Deficient Number Evil Number Happy Number Sphenic Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,007,030 1,007,031 1,007,032 1,007,033 1,007,034 1,007,035 1,007,036 1,007,037 1,007,038 1,007,039 1,007,040 1,007,041 1,007,042 1,007,043 1,007,044 1,007,045 1,007,046 1,007,047 1,007,048 1,007,049 1,007,050 1,007,051 1,007,052 1,007,053 1,007,054

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 2,407,001
Square (n²): 1,014,133,589,764
Cube (n³): 1,021,275,118,503,118,088
Divisor count: 8
σ(n) — sum of divisors: 1,547,532
φ(n) — Euler's totient: 491,200
Sum of prime factors: 12,324

Primality

Prime factorization: 2 × 41 × 12281

Nearest primes: 1,007,023 (−19) · 1,007,047 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 41 · 82 · 12281 · 24562 · 503521 (half) · 1007042

Aliquot sum (sum of proper divisors): 540,490

Factor pairs (a × b = 1,007,042)

1 × 1007042

2 × 503521

41 × 24562

82 × 12281

First multiples

1,007,042 · 2,014,084 (double) · 3,021,126 · 4,028,168 · 5,035,210 · 6,042,252 · 7,049,294 · 8,056,336 · 9,063,378 · 10,070,420

Sums & aliquot sequence

As a sum of two squares: 71² + 1,001² = 289² + 961²

As consecutive integers: 251,759 + 251,760 + 251,761 + 251,762 24,542 + 24,543 + … + 24,582 6,059 + 6,060 + … + 6,222

Aliquot sequence: 1,007,042 → 540,490 → 432,410 → 416,902 → 213,098 → 113,494 → 56,750 → 49,954 → 24,980 → 27,520 → 39,800 → 53,200 → 100,560 → 211,920 → 445,776 → 741,648 → 1,174,400 — unresolved within range

Continued fraction of √n

√1,007,042 = [1003; (1, 1, 16, 2, 1, 2, 1, 3, 2, 1, 64, 20, 2, 6, 1, 1, 7, 1, 8, 1, 2, 1, 1, 2, …)]

Period length 45 — the block in parentheses repeats forever.

Representations

In words: one million seven thousand forty-two
Ordinal: 1007042nd
Binary: 11110101110111000010
Octal: 3656702
Hexadecimal: 0xF5DC2
Base64: D13C
One's complement: 4,293,960,253 (32-bit)
Scientific notation: 1.007042 × 10⁶
As a duration: 1,007,042 s = 11 days, 15 hours, 44 minutes, 2 seconds

In other bases

ternary (3) 1220011101212

quaternary (4) 3311313002

quinary (5) 224211132

senary (6) 33330122

septenary (7) 11362661

nonary (9) 1804355

undecimal (11) 628673

duodecimal (12) 406942

tridecimal (13) 2934aa

tetradecimal (14) 1c2dd8

pentadecimal (15) 14d5b2

As an angle

1,007,042° = 2,797 × 360° + 122°

122° ≈ 2.129 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬七千零四十二
Chinese (financial): 壹佰萬柒仟零肆拾貳

In other modern scripts

Eastern Arabic ١٠٠٧٠٤٢ Devanagari १००७०४२ Bengali ১০০৭০৪২ Tamil ௧௦௦௭௦௪௨ Thai ๑๐๐๗๐๔๒ Tibetan ༡༠༠༧༠༤༢ Khmer ១០០៧០៤២ Lao ໑໐໐໗໐໔໒ Burmese ၁၀၀၇၀၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007042, here are decompositions:

19 + 1007023 = 1007042
73 + 1006969 = 1007042
109 + 1006933 = 1007042
151 + 1006891 = 1007042
163 + 1006879 = 1007042
181 + 1006861 = 1007042
331 + 1006711 = 1007042
409 + 1006633 = 1007042

Showing the first eight; more decompositions exist.

Hex color

#0F5DC2

RGB(15, 93, 194)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.93.194.

Address: 0.15.93.194
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.93.194

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 1,007,042 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 US1,007,042 on Google Patents ↗ Look up on USPTO ↗