Live analysis

1,020,042

1,020,042 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.).

1,020,042 (one million twenty thousand forty-two) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 61 × 929. Its proper divisors sum to 1,228,698, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF908A.

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

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,020,030 1,020,031 1,020,032 1,020,033 1,020,034 1,020,035 1,020,036 1,020,037 1,020,038 1,020,039 1,020,040 1,020,041 1,020,042 1,020,043 1,020,044 1,020,045 1,020,046 1,020,047 1,020,048 1,020,049 1,020,050 1,020,051 1,020,052 1,020,053 1,020,054

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 2,400,201
Square (n²): 1,040,485,681,764
Cube (n³): 1,061,339,095,797,914,088
Divisor count: 24
σ(n) — sum of divisors: 2,248,740
φ(n) — Euler's totient: 334,080
Sum of prime factors: 998

Primality

Prime factorization: 2 × 3 ² × 61 × 929

Nearest primes: 1,020,037 (−5) · 1,020,043 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 9 · 18 · 61 · 122 · 183 · 366 · 549 · 929 · 1098 · 1858 · 2787 · 5574 · 8361 · 16722 · 56669 · 113338 · 170007 · 340014 · 510021 (half) · 1020042

Aliquot sum (sum of proper divisors): 1,228,698

Factor pairs (a × b = 1,020,042)

1 × 1020042

2 × 510021

3 × 340014

6 × 170007

9 × 113338

18 × 56669

61 × 16722

122 × 8361

183 × 5574

366 × 2787

549 × 1858

929 × 1098

First multiples

1,020,042 · 2,040,084 (double) · 3,060,126 · 4,080,168 · 5,100,210 · 6,120,252 · 7,140,294 · 8,160,336 · 9,180,378 · 10,200,420

Sums & aliquot sequence

As a sum of two squares: 591² + 819² = 699² + 729²

As consecutive integers: 340,013 + 340,014 + 340,015 255,009 + 255,010 + 255,011 + 255,012 113,334 + 113,335 + … + 113,342 84,998 + 84,999 + … + 85,009

Aliquot sequence: 1,020,042 → 1,228,698 → 1,433,520 → 3,847,392 → 7,714,368 → 14,871,312 → 27,454,972 → 20,719,364 → 15,539,530 → 15,848,150 → 14,913,274 → 7,726,406 → 3,863,206 → 2,274,794 → 1,317,046 → 663,458 → 375,070 — unresolved within range

Continued fraction of √n

√1,020,042 = [1009; (1, 33, 1, 4, 1, 3, 1, 1, 1, 1, 1, 1, 3, 1, 26, 1, 1, 18, 1, 1, 4, 1, 4, 1, …)]

Representations

In words: one million twenty thousand forty-two
Ordinal: 1020042nd
Binary: 11111001000010001010
Octal: 3710212
Hexadecimal: 0xF908A
Base64: D5CK
One's complement: 4,293,947,253 (32-bit)
Scientific notation: 1.020042 × 10⁶
As a duration: 1,020,042 s = 11 days, 19 hours, 20 minutes, 42 seconds

In other bases

ternary (3) 1220211020100

quaternary (4) 3321002022

quinary (5) 230120132

senary (6) 33510230

septenary (7) 11445612

nonary (9) 1824210

undecimal (11) 637411

duodecimal (12) 412376

tridecimal (13) 29939a

tetradecimal (14) 1c7a42

pentadecimal (15) 15237c

As an angle

1,020,042° = 2,833 × 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 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零二萬零四十二
Chinese (financial): 壹佰零貳萬零肆拾貳

In other modern scripts

Eastern Arabic ١٠٢٠٠٤٢ Devanagari १०२००४२ Bengali ১০২০০৪২ Tamil ௧௦௨௦௦௪௨ Thai ๑๐๒๐๐๔๒ Tibetan ༡༠༢༠༠༤༢ Khmer ១០២០០៤២ Lao ໑໐໒໐໐໔໒ Burmese ၁၀၂၀၀၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1020042, here are decompositions:

5 + 1020037 = 1020042
19 + 1020023 = 1020042
29 + 1020013 = 1020042
31 + 1020011 = 1020042
41 + 1020001 = 1020042
71 + 1019971 = 1020042
139 + 1019903 = 1020042
181 + 1019861 = 1020042

Showing the first eight; more decompositions exist.

Hex color

#0F908A

RGB(15, 144, 138)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.144.138.

Address: 0.15.144.138
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.144.138

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 2, 0042 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0042-02-01 (DMMYYYY (Euro, single-digit day))
0042-10-02 (MMDYYYY (US, single-digit day))
0042-02-10 (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 1,020,042 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 US1,020,042 on Google Patents ↗ Look up on USPTO ↗