Live analysis

1,002,042

1,002,042 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.).

1,002,042 (one million two thousand forty-two) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 179 × 311. Its proper divisors sum to 1,188,198, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4A3A.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,002,030 1,002,031 1,002,032 1,002,033 1,002,034 1,002,035 1,002,036 1,002,037 1,002,038 1,002,039 1,002,040 1,002,041 1,002,042 1,002,043 1,002,044 1,002,045 1,002,046 1,002,047 1,002,048 1,002,049 1,002,050 1,002,051 1,002,052 1,002,053 1,002,054

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 2,402,001
Square (n²): 1,004,088,169,764
Cube (n³): 1,006,138,517,806,658,088
Divisor count: 24
σ(n) — sum of divisors: 2,190,240
φ(n) — Euler's totient: 331,080
Sum of prime factors: 498

Primality

Prime factorization: 2 × 3 ² × 179 × 311

Nearest primes: 1,002,017 (−25) · 1,002,049 (+7)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 9 · 18 · 179 · 311 · 358 · 537 · 622 · 933 · 1074 · 1611 · 1866 · 2799 · 3222 · 5598 · 55669 · 111338 · 167007 · 334014 · 501021 (half) · 1002042

Aliquot sum (sum of proper divisors): 1,188,198

Factor pairs (a × b = 1,002,042)

1 × 1002042

2 × 501021

3 × 334014

6 × 167007

9 × 111338

18 × 55669

179 × 5598

311 × 3222

358 × 2799

537 × 1866

622 × 1611

933 × 1074

First multiples

1,002,042 · 2,004,084 (double) · 3,006,126 · 4,008,168 · 5,010,210 · 6,012,252 · 7,014,294 · 8,016,336 · 9,018,378 · 10,020,420

Sums & aliquot sequence

As consecutive integers: 334,013 + 334,014 + 334,015 250,509 + 250,510 + 250,511 + 250,512 111,334 + 111,335 + … + 111,342 83,498 + 83,499 + … + 83,509

Aliquot sequence: 1,002,042 → 1,188,198 → 1,793,898 → 2,092,920 → 4,283,400 → 10,559,400 → 22,176,600 → 49,604,520 → 120,471,000 → 284,442,600 → 665,184,120 → 1,330,368,600 → 3,451,914,600 → 7,878,520,920 → 15,820,542,600 — keeps growing

Continued fraction of √n

√1,002,042 = [1001; (48, 1, 4, 1, 6, 1, 22, 2, 2, 5, 6, 1, 15, 1, 1, 4, 1, 1, 3, 3, 1, 1, 86, 2, …)]

Representations

In words: one million two thousand forty-two
Ordinal: 1002042nd
Binary: 11110100101000111010
Octal: 3645072
Hexadecimal: 0xF4A3A
Base64: D0o6
One's complement: 4,293,965,253 (32-bit)
Scientific notation: 1.002042 × 10⁶
As a duration: 1,002,042 s = 11 days, 14 hours, 20 minutes, 42 seconds

In other bases

ternary (3) 1212220112200

quaternary (4) 3310220322

quinary (5) 224031132

senary (6) 33251030

septenary (7) 11342256

nonary (9) 1786480

undecimal (11) 624938

duodecimal (12) 403a76

tridecimal (13) 291132

tetradecimal (14) 1c1266

pentadecimal (15) 14bd7c

As an angle

1,002,042° = 2,783 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬二千零四十二
Chinese (financial): 壹佰萬貳仟零肆拾貳

In other modern scripts

Eastern Arabic ١٠٠٢٠٤٢ Devanagari १००२०४२ Bengali ১০০২০৪২ Tamil ௧௦௦௨௦௪௨ Thai ๑๐๐๒๐๔๒ Tibetan ༡༠༠༢༠༤༢ Khmer ១០០២០៤២ Lao ໑໐໐໒໐໔໒ Burmese ၁၀၀၂၀၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002042, here are decompositions:

53 + 1001989 = 1002042
59 + 1001983 = 1002042
61 + 1001981 = 1002042
89 + 1001953 = 1002042
101 + 1001941 = 1002042
109 + 1001933 = 1002042
131 + 1001911 = 1002042
211 + 1001831 = 1002042

Showing the first eight; more decompositions exist.

Hex color

#0F4A3A

RGB(15, 74, 58)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.58.

Address: 0.15.74.58
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.58

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 1,002,042 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 US1,002,042 on Google Patents ↗ Look up on USPTO ↗