Live analysis

1,041,042

1,041,042 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.).

1,041,042 (one million forty-one thousand forty-two) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 29 × 31 × 193. Its proper divisors sum to 1,193,838, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE292.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 2,401,401
Square (n²): 1,083,768,445,764
Cube (n³): 1,128,248,470,315,046,088
Divisor count: 32
σ(n) — sum of divisors: 2,234,880
φ(n) — Euler's totient: 322,560
Sum of prime factors: 258

Primality

Prime factorization: 2 × 3 × 29 × 31 × 193

Nearest primes: 1,041,041 (−1) · 1,041,077 (+35)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 29 · 31 · 58 · 62 · 87 · 93 · 174 · 186 · 193 · 386 · 579 · 899 · 1158 · 1798 · 2697 · 5394 · 5597 · 5983 · 11194 · 11966 · 16791 · 17949 · 33582 · 35898 · 173507 · 347014 · 520521 (half) · 1041042

Aliquot sum (sum of proper divisors): 1,193,838

Factor pairs (a × b = 1,041,042)

1 × 1041042

2 × 520521

3 × 347014

6 × 173507

29 × 35898

31 × 33582

58 × 17949

62 × 16791

87 × 11966

93 × 11194

174 × 5983

186 × 5597

193 × 5394

386 × 2697

579 × 1798

899 × 1158

First multiples

1,041,042 · 2,082,084 (double) · 3,123,126 · 4,164,168 · 5,205,210 · 6,246,252 · 7,287,294 · 8,328,336 · 9,369,378 · 10,410,420

Sums & aliquot sequence

As consecutive integers: 347,013 + 347,014 + 347,015 260,259 + 260,260 + 260,261 + 260,262 86,748 + 86,749 + … + 86,759 35,884 + 35,885 + … + 35,912

Aliquot sequence: 1,041,042 → 1,193,838 → 1,370,514 → 1,370,526 → 1,370,538 → 1,827,930 → 3,050,790 → 4,271,178 → 4,566,102 → 4,599,210 → 9,343,446 → 12,118,314 → 17,922,966 → 19,809,834 → 23,411,766 → 30,100,938 → 42,275,382 — unresolved within range

Continued fraction of √n

√1,041,042 = [1020; (3, 5, 1, 1, 1, 1, 1, 1, 7, 1, 11, 1, 3, 1, 3, 1, 1, 6, 1, 1, 88, 5, 3, 41, …)]

Representations

In words: one million forty-one thousand forty-two
Ordinal: 1041042nd
Binary: 11111110001010010010
Octal: 3761222
Hexadecimal: 0xFE292
Base64: D+KS
One's complement: 4,293,926,253 (32-bit)
Scientific notation: 1.041042 × 10⁶
As a duration: 1,041,042 s = 12 days, 1 hour, 10 minutes, 42 seconds

In other bases

ternary (3) 1221220001010

quaternary (4) 3332022102

quinary (5) 231303132

senary (6) 34151350

septenary (7) 11564052

nonary (9) 1856033

undecimal (11) 651172

duodecimal (12) 422556

tridecimal (13) 2a5b02

tetradecimal (14) 1d1562

pentadecimal (15) 1586cc

Palindromic in base 5

As an angle

1,041,042° = 2,891 × 360° + 282°

282° ≈ 4.922 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零四萬一千零四十二
Chinese (financial): 壹佰零肆萬壹仟零肆拾貳

In other modern scripts

Eastern Arabic ١٠٤١٠٤٢ Devanagari १०४१०४२ Bengali ১০৪১০৪২ Tamil ௧௦௪௧௦௪௨ Thai ๑๐๔๑๐๔๒ Tibetan ༡༠༤༡༠༤༢ Khmer ១០៤១០៤២ Lao ໑໐໔໑໐໔໒ Burmese ၁၀၄၁၀၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1041042, here are decompositions:

53 + 1040989 = 1041042
61 + 1040981 = 1041042
83 + 1040959 = 1041042
103 + 1040939 = 1041042
113 + 1040929 = 1041042
151 + 1040891 = 1041042
181 + 1040861 = 1041042
229 + 1040813 = 1041042

Showing the first eight; more decompositions exist.

Hex color

#0FE292

RGB(15, 226, 146)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.226.146.

Address: 0.15.226.146
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.226.146

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 4, 1042 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

1042-04-01 (DMMYYYY (Euro, single-digit day))
1042-10-04 (MMDYYYY (US, single-digit day))
1042-04-10 (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 1,041,042 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,041,042 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1041042 first appears in π at position 675,694 of the decimal expansion (the 675,694ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1041042 on Pi Search ↗