Live analysis

1,008,042

1,008,042 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.).

1,008,042 (one million eight thousand forty-two) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 7 × 24,001. Its proper divisors sum to 1,296,150, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF61AA.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,008,030 1,008,031 1,008,032 1,008,033 1,008,034 1,008,035 1,008,036 1,008,037 1,008,038 1,008,039 1,008,040 1,008,041 1,008,042 1,008,043 1,008,044 1,008,045 1,008,046 1,008,047 1,008,048 1,008,049 1,008,050 1,008,051 1,008,052 1,008,053 1,008,054

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 2,408,001
Recamán's sequence: a(349,367) = 1,008,042
Square (n²): 1,016,148,673,764
Cube (n³): 1,024,320,541,398,410,088
Divisor count: 16
σ(n) — sum of divisors: 2,304,192
φ(n) — Euler's totient: 288,000
Sum of prime factors: 24,013

Primality

Prime factorization: 2 × 3 × 7 × 24001

Nearest primes: 1,008,041 (−1) · 1,008,043 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 7 · 14 · 21 · 42 · 24001 · 48002 · 72003 · 144006 · 168007 · 336014 · 504021 (half) · 1008042

Aliquot sum (sum of proper divisors): 1,296,150

Factor pairs (a × b = 1,008,042)

1 × 1008042

2 × 504021

3 × 336014

6 × 168007

7 × 144006

14 × 72003

21 × 48002

42 × 24001

First multiples

1,008,042 · 2,016,084 (double) · 3,024,126 · 4,032,168 · 5,040,210 · 6,048,252 · 7,056,294 · 8,064,336 · 9,072,378 · 10,080,420

Sums & aliquot sequence

As consecutive integers: 336,013 + 336,014 + 336,015 252,009 + 252,010 + 252,011 + 252,012 144,003 + 144,004 + … + 144,009 83,998 + 83,999 + … + 84,009

Aliquot sequence: 1,008,042 → 1,296,150 → 1,918,674 → 2,345,166 → 2,920,914 → 3,570,126 → 4,655,154 → 6,772,686 → 6,772,698 → 8,765,370 → 15,515,874 → 22,416,174 → 30,567,978 → 45,124,470 → 72,199,386 → 112,754,214 → 142,544,826 — unresolved within range

Continued fraction of √n

√1,008,042 = [1004; (77, 4, 3, 11, 1, 1, 2, 1, 7, 10, 3, 1, 1, 1, 3, 1, 1, 2, 48, 1, 1, 2, 2, 2, …)]

Representations

In words: one million eight thousand forty-two
Ordinal: 1008042nd
Binary: 11110110000110101010
Octal: 3660652
Hexadecimal: 0xF61AA
Base64: D2Gq
One's complement: 4,293,959,253 (32-bit)
Scientific notation: 1.008042 × 10⁶
As a duration: 1,008,042 s = 11 days, 16 hours, 42 seconds

In other bases

ternary (3) 1220012202220

quaternary (4) 3312012222

quinary (5) 224224132

senary (6) 33334510

septenary (7) 11365620

nonary (9) 1805686

undecimal (11) 6293a2

duodecimal (12) 407436

tridecimal (13) 293a99

tetradecimal (14) 1c3510

pentadecimal (15) 14da2c

As an angle

1,008,042° = 2,800 × 360° + 42°

42° ≈ 0.733 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 · 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬八千零四十二
Chinese (financial): 壹佰萬捌仟零肆拾貳

In other modern scripts

Eastern Arabic ١٠٠٨٠٤٢ Devanagari १००८०४२ Bengali ১০০৮০৪২ Tamil ௧௦௦௮௦௪௨ Thai ๑๐๐๘๐๔๒ Tibetan ༡༠༠༨༠༤༢ Khmer ១០០៨០៤២ Lao ໑໐໐໘໐໔໒ Burmese ၁၀၀၈၀၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008042, here are decompositions:

5 + 1008037 = 1008042
11 + 1008031 = 1008042
29 + 1008013 = 1008042
41 + 1008001 = 1008042
71 + 1007971 = 1008042
83 + 1007959 = 1008042
103 + 1007939 = 1008042
109 + 1007933 = 1008042

Showing the first eight; more decompositions exist.

Hex color

#0F61AA

RGB(15, 97, 170)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.97.170.

Address: 0.15.97.170
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.97.170

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 1,008,042 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 US1,008,042 on Google Patents ↗ Look up on USPTO ↗