Live analysis

1,017,042

1,017,042 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.).

1,017,042 (one million seventeen thousand forty-two) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2 × 3 × 13² × 17 × 59. Its proper divisors sum to 1,354,638, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF84D2.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,017,030 1,017,031 1,017,032 1,017,033 1,017,034 1,017,035 1,017,036 1,017,037 1,017,038 1,017,039 1,017,040 1,017,041 1,017,042 1,017,043 1,017,044 1,017,045 1,017,046 1,017,047 1,017,048 1,017,049 1,017,050 1,017,051 1,017,052 1,017,053 1,017,054

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 2,407,101
Square (n²): 1,034,374,429,764
Cube (n³): 1,052,002,238,796,038,088
Divisor count: 48
σ(n) — sum of divisors: 2,371,680
φ(n) — Euler's totient: 289,536
Sum of prime factors: 107

Primality

Prime factorization: 2 × 3 × 13 ² × 17 × 59

Nearest primes: 1,017,041 (−1) · 1,017,043 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 6 · 13 · 17 · 26 · 34 · 39 · 51 · 59 · 78 · 102 · 118 · 169 · 177 · 221 · 338 · 354 · 442 · 507 · 663 · 767 · 1003 · 1014 · 1326 · 1534 · 2006 · 2301 · 2873 · 3009 · 4602 · 5746 · 6018 · 8619 · 9971 · 13039 · 17238 · 19942 · 26078 · 29913 · 39117 · 59826 · 78234 · 169507 · 339014 · 508521 (half) · 1017042

Aliquot sum (sum of proper divisors): 1,354,638

Factor pairs (a × b = 1,017,042)

1 × 1017042

2 × 508521

3 × 339014

6 × 169507

13 × 78234

17 × 59826

26 × 39117

34 × 29913

39 × 26078

51 × 19942

59 × 17238

78 × 13039

102 × 9971

118 × 8619

169 × 6018

177 × 5746

221 × 4602

338 × 3009

354 × 2873

442 × 2301

507 × 2006

663 × 1534

767 × 1326

1003 × 1014

First multiples

1,017,042 · 2,034,084 (double) · 3,051,126 · 4,068,168 · 5,085,210 · 6,102,252 · 7,119,294 · 8,136,336 · 9,153,378 · 10,170,420

Sums & aliquot sequence

As consecutive integers: 339,013 + 339,014 + 339,015 254,259 + 254,260 + 254,261 + 254,262 84,748 + 84,749 + … + 84,759 78,228 + 78,229 + … + 78,240

Aliquot sequence: 1,017,042 → 1,354,638 → 1,442,418 → 1,455,438 → 1,793,202 → 1,861,518 → 1,875,138 → 1,939,422 → 2,064,930 → 3,599,454 → 3,912,738 → 4,295,262 → 4,295,274 → 4,295,286 → 5,011,206 → 5,282,538 → 5,282,550 — unresolved within range

Continued fraction of √n

√1,017,042 = [1008; (2, 16, 5, 1, 9, 1, 2, 1, 1, 1, 3, 11, 1, 1, 1, 15, 4, 2, 5, 1, 1, 10, 1, 3, …)]

Representations

In words: one million seventeen thousand forty-two
Ordinal: 1017042nd
Binary: 11111000010011010010
Octal: 3702322
Hexadecimal: 0xF84D2
Base64: D4TS
One's complement: 4,293,950,253 (32-bit)
Scientific notation: 1.017042 × 10⁶
As a duration: 1,017,042 s = 11 days, 18 hours, 30 minutes, 42 seconds

In other bases

ternary (3) 1220200010020

quaternary (4) 3320103102

quinary (5) 230021132

senary (6) 33444310

septenary (7) 11434065

nonary (9) 1820106

undecimal (11) 635134

duodecimal (12) 410696

tridecimal (13) 297c00

tetradecimal (14) 1c68dc

pentadecimal (15) 15152c

As an angle

1,017,042° = 2,825 × 360° + 42°

42° ≈ 0.733 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零一萬七千零四十二
Chinese (financial): 壹佰零壹萬柒仟零肆拾貳

In other modern scripts

Eastern Arabic ١٠١٧٠٤٢ Devanagari १०१७०४२ Bengali ১০১৭০৪২ Tamil ௧௦௧௭௦௪௨ Thai ๑๐๑๗๐๔๒ Tibetan ༡༠༡༧༠༤༢ Khmer ១០១៧០៤២ Lao ໑໐໑໗໐໔໒ Burmese ၁၀၁၇၀၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1017042, here are decompositions:

11 + 1017031 = 1017042
31 + 1017011 = 1017042
71 + 1016971 = 1017042
83 + 1016959 = 1017042
101 + 1016941 = 1017042
113 + 1016929 = 1017042
151 + 1016891 = 1017042
163 + 1016879 = 1017042

Showing the first eight; more decompositions exist.

Hex color

#0F84D2

RGB(15, 132, 210)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.132.210.

Address: 0.15.132.210
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.132.210

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 7042 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

7042-10-01 (MMDYYYY (US, single-digit day))
7042-01-10 (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 1,017,042 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 US1,017,042 on Google Patents ↗ Look up on USPTO ↗