Live analysis

1,001,264

1,001,264 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.).

1,001,264 (one million one thousand two hundred sixty-four) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 11 × 5,689. Its proper divisors sum to 1,115,416, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4730.

Abundant Number Arithmetic Number Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,001,252 1,001,253 1,001,254 1,001,255 1,001,256 1,001,257 1,001,258 1,001,259 1,001,260 1,001,261 1,001,262 1,001,263 1,001,264 1,001,265 1,001,266 1,001,267 1,001,268 1,001,269 1,001,270 1,001,271 1,001,272 1,001,273 1,001,274 1,001,275 1,001,276

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 4,621,001
Square (n²): 1,002,529,597,696
Cube (n³): 1,003,796,795,107,487,744
Divisor count: 20
σ(n) — sum of divisors: 2,116,680
φ(n) — Euler's totient: 455,040
Sum of prime factors: 5,708

Primality

Prime factorization: 2 ⁴ × 11 × 5689

Nearest primes: 1,001,237 (−27) · 1,001,267 (+3)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 8 · 11 · 16 · 22 · 44 · 88 · 176 · 5689 · 11378 · 22756 · 45512 · 62579 · 91024 · 125158 · 250316 · 500632 (half) · 1001264

Aliquot sum (sum of proper divisors): 1,115,416

Factor pairs (a × b = 1,001,264)

1 × 1001264

2 × 500632

4 × 250316

8 × 125158

11 × 91024

16 × 62579

22 × 45512

44 × 22756

88 × 11378

176 × 5689

First multiples

1,001,264 · 2,002,528 (double) · 3,003,792 · 4,005,056 · 5,006,320 · 6,007,584 · 7,008,848 · 8,010,112 · 9,011,376 · 10,012,640

Sums & aliquot sequence

As consecutive integers: 91,019 + 91,020 + … + 91,029 31,274 + 31,275 + … + 31,305 2,669 + 2,670 + … + 3,020

Aliquot sequence: 1,001,264 → 1,115,416 → 1,008,224 → 1,304,380 → 2,200,436 → 2,254,924 → 2,412,116 → 2,445,100 → 3,739,400 → 6,200,440 → 7,821,560 → 9,777,040 → 20,221,040 → 33,510,640 → 44,401,784 → 59,278,216 → 51,868,454 — unresolved within range

Continued fraction of √n

√1,001,264 = [1000; (1, 1, 1, 2, 1, 1, 11, 1, 13, 13, 2, 4, 1, 1, 11, 11, 1, 3, 11, 1, 2, 1, 2, 7, …)]

Representations

In words: one million one thousand two hundred sixty-four
Ordinal: 1001264th
Binary: 11110100011100110000
Octal: 3643460
Hexadecimal: 0xF4730
Base64: D0cw
One's complement: 4,293,966,031 (32-bit)
Scientific notation: 1.001264 × 10⁶
As a duration: 1,001,264 s = 11 days, 14 hours, 7 minutes, 44 seconds

In other bases

ternary (3) 1212212110212

quaternary (4) 3310130300

quinary (5) 224020024

senary (6) 33243252

septenary (7) 11340065

nonary (9) 1785425

undecimal (11) 6242a0

duodecimal (12) 403528

tridecimal (13) 290984

tetradecimal (14) 1c0c6c

pentadecimal (15) 14ba0e

As an angle

1,001,264° = 2,781 × 360° + 104°

104° ≈ 1.815 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬一千二百六十四
Chinese (financial): 壹佰萬壹仟貳佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٠١٢٦٤ Devanagari १००१२६४ Bengali ১০০১২৬৪ Tamil ௧௦௦௧௨௬௪ Thai ๑๐๐๑๒๖๔ Tibetan ༡༠༠༡༢༦༤ Khmer ១០០១២៦៤ Lao ໑໐໐໑໒໖໔ Burmese ၁၀၀၁၂၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001264, here are decompositions:

67 + 1001197 = 1001264
73 + 1001191 = 1001264
157 + 1001107 = 1001264
223 + 1001041 = 1001264
241 + 1001023 = 1001264
283 + 1000981 = 1001264
487 + 1000777 = 1001264
541 + 1000723 = 1001264

Showing the first eight; more decompositions exist.

Hex color

#0F4730

RGB(15, 71, 48)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.48.

Address: 0.15.71.48
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.48

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

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 1,001,264 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 US1,001,264 on Google Patents ↗ Look up on USPTO ↗