Live analysis

1,041,264

1,041,264 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.).

1,041,264 (one million forty-one thousand two hundred sixty-four) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 7 × 1,033. Its proper divisors sum to 2,292,352, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE370.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,041,252 1,041,253 1,041,254 1,041,255 1,041,256 1,041,257 1,041,258 1,041,259 1,041,260 1,041,261 1,041,262 1,041,263 1,041,264 1,041,265 1,041,266 1,041,267 1,041,268 1,041,269 1,041,270 1,041,271 1,041,272 1,041,273 1,041,274 1,041,275 1,041,276

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 4,621,401
Square (n²): 1,084,230,717,696
Cube (n³): 1,128,970,414,031,007,744
Divisor count: 60
σ(n) — sum of divisors: 3,333,616
φ(n) — Euler's totient: 297,216
Sum of prime factors: 1,054

Primality

Prime factorization: 2 ⁴ × 3 ² × 7 × 1033

Nearest primes: 1,041,253 (−11) · 1,041,269 (+5)

Divisors & multiples

All divisors (60)

1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 16 · 18 · 21 · 24 · 28 · 36 · 42 · 48 · 56 · 63 · 72 · 84 · 112 · 126 · 144 · 168 · 252 · 336 · 504 · 1008 · 1033 · 2066 · 3099 · 4132 · 6198 · 7231 · 8264 · 9297 · 12396 · 14462 · 16528 · 18594 · 21693 · 24792 · 28924 · 37188 · 43386 · 49584 · 57848 · 65079 · 74376 · 86772 · 115696 · 130158 · 148752 · 173544 · 260316 · 347088 · 520632 (half) · 1041264

Aliquot sum (sum of proper divisors): 2,292,352

Factor pairs (a × b = 1,041,264)

1 × 1041264

2 × 520632

3 × 347088

4 × 260316

6 × 173544

7 × 148752

8 × 130158

9 × 115696

12 × 86772

14 × 74376

16 × 65079

18 × 57848

21 × 49584

24 × 43386

28 × 37188

36 × 28924

42 × 24792

48 × 21693

56 × 18594

63 × 16528

72 × 14462

84 × 12396

112 × 9297

126 × 8264

144 × 7231

168 × 6198

252 × 4132

336 × 3099

504 × 2066

1008 × 1033

First multiples

1,041,264 · 2,082,528 (double) · 3,123,792 · 4,165,056 · 5,206,320 · 6,247,584 · 7,288,848 · 8,330,112 · 9,371,376 · 10,412,640

Sums & aliquot sequence

As consecutive integers: 347,087 + 347,088 + 347,089 148,749 + 148,750 + … + 148,755 115,692 + 115,693 + … + 115,700 49,574 + 49,575 + … + 49,594

Aliquot sequence: 1,041,264 → 2,292,352 → 2,274,698 → 1,245,238 → 622,622 → 635,362 → 537,950 → 667,330 → 533,882 → 310,918 → 161,330 → 174,334 → 91,274 → 48,694 → 25,394 → 12,700 → 15,076 — unresolved within range

Continued fraction of √n

√1,041,264 = [1020; (2, 2, 1, 3, 3, 1, 3, 1, 2, 1, 1, 3, 3, 1, 5, 2, 1, 1, 1, 2, 13, 1, 8, 5, …)]

Representations

In words: one million forty-one thousand two hundred sixty-four
Ordinal: 1041264th
Binary: 11111110001101110000
Octal: 3761560
Hexadecimal: 0xFE370
Base64: D+Nw
One's complement: 4,293,926,031 (32-bit)
Scientific notation: 1.041264 × 10⁶
As a duration: 1,041,264 s = 12 days, 1 hour, 14 minutes, 24 seconds

In other bases

ternary (3) 1221220100100

quaternary (4) 3332031300

quinary (5) 231310024

senary (6) 34152400

septenary (7) 11564520

nonary (9) 1856310

undecimal (11) 651354

duodecimal (12) 422700

tridecimal (13) 2a5c43

tetradecimal (14) 1d1680

pentadecimal (15) 1587c9

As an angle

1,041,264° = 2,892 × 360° + 144°

144° ≈ 2.513 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百零四萬一千二百六十四
Chinese (financial): 壹佰零肆萬壹仟貳佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٤١٢٦٤ Devanagari १०४१२६४ Bengali ১০৪১২৬৪ Tamil ௧௦௪௧௨௬௪ Thai ๑๐๔๑๒๖๔ Tibetan ༡༠༤༡༢༦༤ Khmer ១០៤១២៦៤ Lao ໑໐໔໑໒໖໔ Burmese ၁၀၄၁၂၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1041264, here are decompositions:

11 + 1041253 = 1041264
23 + 1041241 = 1041264
41 + 1041223 = 1041264
43 + 1041221 = 1041264
61 + 1041203 = 1041264
97 + 1041167 = 1041264
101 + 1041163 = 1041264
113 + 1041151 = 1041264

Showing the first eight; more decompositions exist.

Hex color

#0FE370

RGB(15, 227, 112)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.227.112.

Address: 0.15.227.112
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.227.112

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 4, 1264 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

1264-04-01 (DMMYYYY (Euro, single-digit day))
1264-10-04 (MMDYYYY (US, single-digit day))
1264-04-10 (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 1,041,264 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 US1,041,264 on Google Patents ↗ Look up on USPTO ↗