Live analysis

1,041,072

1,041,072 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.).

1,041,072 (one million forty-one thousand seventy-two) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3 × 23² × 41. Its proper divisors sum to 1,838,952, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE2B0.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,041,060 1,041,061 1,041,062 1,041,063 1,041,064 1,041,065 1,041,066 1,041,067 1,041,068 1,041,069 1,041,070 1,041,071 1,041,072 1,041,073 1,041,074 1,041,075 1,041,076 1,041,077 1,041,078 1,041,079 1,041,080 1,041,081 1,041,082 1,041,083 1,041,084

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 2,701,401
Square (n²): 1,083,830,909,184
Cube (n³): 1,128,346,012,286,005,248
Divisor count: 60
σ(n) — sum of divisors: 2,880,024
φ(n) — Euler's totient: 323,840
Sum of prime factors: 98

Primality

Prime factorization: 2 ⁴ × 3 × 23 ² × 41

Nearest primes: 1,041,041 (−31) · 1,041,077 (+5)

Divisors & multiples

All divisors (60)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 23 · 24 · 41 · 46 · 48 · 69 · 82 · 92 · 123 · 138 · 164 · 184 · 246 · 276 · 328 · 368 · 492 · 529 · 552 · 656 · 943 · 984 · 1058 · 1104 · 1587 · 1886 · 1968 · 2116 · 2829 · 3174 · 3772 · 4232 · 5658 · 6348 · 7544 · 8464 · 11316 · 12696 · 15088 · 21689 · 22632 · 25392 · 43378 · 45264 · 65067 · 86756 · 130134 · 173512 · 260268 · 347024 · 520536 (half) · 1041072

Aliquot sum (sum of proper divisors): 1,838,952

Factor pairs (a × b = 1,041,072)

1 × 1041072

2 × 520536

3 × 347024

4 × 260268

6 × 173512

8 × 130134

12 × 86756

16 × 65067

23 × 45264

24 × 43378

41 × 25392

46 × 22632

48 × 21689

69 × 15088

82 × 12696

92 × 11316

123 × 8464

138 × 7544

164 × 6348

184 × 5658

246 × 4232

276 × 3772

328 × 3174

368 × 2829

492 × 2116

529 × 1968

552 × 1886

656 × 1587

943 × 1104

984 × 1058

First multiples

1,041,072 · 2,082,144 (double) · 3,123,216 · 4,164,288 · 5,205,360 · 6,246,432 · 7,287,504 · 8,328,576 · 9,369,648 · 10,410,720

Sums & aliquot sequence

As consecutive integers: 347,023 + 347,024 + 347,025 45,253 + 45,254 + … + 45,275 32,518 + 32,519 + … + 32,549 25,372 + 25,373 + … + 25,412

Aliquot sequence: 1,041,072 → 1,838,952 → 3,141,738 → 3,698,550 → 6,239,430 → 10,539,882 → 13,167,288 → 23,332,032 → 43,546,676 → 32,660,014 → 16,330,010 → 13,135,846 → 6,631,034 → 3,427,546 → 1,975,334 → 1,099,738 → 638,342 — unresolved within range

Continued fraction of √n

√1,041,072 = [1020; (3, 27, 1, 1, 1, 1, 1, 3, 4, 3, 2, 5, 4, 1, 1, 4, 2, 3, 2, 2, 5, 3, 1, 1, …)]

Representations

In words: one million forty-one thousand seventy-two
Ordinal: 1041072nd
Binary: 11111110001010110000
Octal: 3761260
Hexadecimal: 0xFE2B0
Base64: D+Kw
One's complement: 4,293,926,223 (32-bit)
Scientific notation: 1.041072 × 10⁶
As a duration: 1,041,072 s = 12 days, 1 hour, 11 minutes, 12 seconds

In other bases

ternary (3) 1221220002020

quaternary (4) 3332022300

quinary (5) 231303242

senary (6) 34151440

septenary (7) 11564124

nonary (9) 1856066

undecimal (11) 65119a

duodecimal (12) 422580

tridecimal (13) 2a5b26

tetradecimal (14) 1d1584

pentadecimal (15) 1586ec

As an angle

1,041,072° = 2,891 × 360° + 312°

312° ≈ 5.445 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零四萬一千零七十二
Chinese (financial): 壹佰零肆萬壹仟零柒拾貳

In other modern scripts

Eastern Arabic ١٠٤١٠٧٢ Devanagari १०४१०७२ Bengali ১০৪১০৭২ Tamil ௧௦௪௧௦௭௨ Thai ๑๐๔๑๐๗๒ Tibetan ༡༠༤༡༠༧༢ Khmer ១០៤១០៧២ Lao ໑໐໔໑໐໗໒ Burmese ၁၀၄၁၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1041072, here are decompositions:

31 + 1041041 = 1041072
83 + 1040989 = 1041072
113 + 1040959 = 1041072
173 + 1040899 = 1041072
181 + 1040891 = 1041072
191 + 1040881 = 1041072
199 + 1040873 = 1041072
211 + 1040861 = 1041072

Showing the first eight; more decompositions exist.

Hex color

#0FE2B0

RGB(15, 226, 176)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.226.176.

Address: 0.15.226.176
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.226.176

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 4, 1072 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

1072-04-01 (DMMYYYY (Euro, single-digit day))
1072-10-04 (MMDYYYY (US, single-digit day))
1072-04-10 (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 1,041,072 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 US1,041,072 on Google Patents ↗ Look up on USPTO ↗