Live analysis

1,002,264

1,002,264 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.).

1,002,264 (one million two thousand two hundred sixty-four) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 41,761. Its proper divisors sum to 1,503,456, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4B18.

Abundant Number Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

1 notable fact · grade F

1,002,252 1,002,253 1,002,254 1,002,255 1,002,256 1,002,257 1,002,258 1,002,259 1,002,260 1,002,261 1,002,262 1,002,263 1,002,264 1,002,265 1,002,266 1,002,267 1,002,268 1,002,269 1,002,270 1,002,271 1,002,272 1,002,273 1,002,274 1,002,275 1,002,276

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 4,622,001
Square (n²): 1,004,533,125,696
Cube (n³): 1,006,807,388,692,575,744
Divisor count: 16
σ(n) — sum of divisors: 2,505,720
φ(n) — Euler's totient: 334,080
Sum of prime factors: 41,770

Primality

Prime factorization: 2 ³ × 3 × 41761

Nearest primes: 1,002,263 (−1) · 1,002,289 (+25)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 41761 · 83522 · 125283 · 167044 · 250566 · 334088 · 501132 (half) · 1002264

Aliquot sum (sum of proper divisors): 1,503,456

Factor pairs (a × b = 1,002,264)

1 × 1002264

2 × 501132

3 × 334088

4 × 250566

6 × 167044

8 × 125283

12 × 83522

24 × 41761

First multiples

1,002,264 · 2,004,528 (double) · 3,006,792 · 4,009,056 · 5,011,320 · 6,013,584 · 7,015,848 · 8,018,112 · 9,020,376 · 10,022,640

Sums & aliquot sequence

As consecutive integers: 334,087 + 334,088 + 334,089 62,634 + 62,635 + … + 62,649 20,857 + 20,858 + … + 20,904

Aliquot sequence: 1,002,264 → 1,503,456 → 2,443,368 → 3,665,112 → 6,331,368 → 9,564,792 → 14,530,008 → 22,310,952 → 33,466,488 → 58,722,312 → 117,533,688 → 176,300,592 → 316,167,888 → 500,599,280 → 663,294,232 → 581,375,528 → 605,652,472 — unresolved within range

Continued fraction of √n

√1,002,264 = [1001; (7, 1, 1, 1, 1, 2, 1, 1, 3, 1, 4, 1, 1, 3, 1, 5, 42, 2, 2, 1, 82, 1, 2, 2, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words: one million two thousand two hundred sixty-four
Ordinal: 1002264th
Binary: 11110100101100011000
Octal: 3645430
Hexadecimal: 0xF4B18
Base64: D0sY
One's complement: 4,293,965,031 (32-bit)
Scientific notation: 1.002264 × 10⁶
As a duration: 1,002,264 s = 11 days, 14 hours, 24 minutes, 24 seconds

In other bases

ternary (3) 1212220211220

quaternary (4) 3310230120

quinary (5) 224033024

senary (6) 33252040

septenary (7) 11343024

nonary (9) 1786756

undecimal (11) 62501a

duodecimal (12) 404020

tridecimal (13) 291273

tetradecimal (14) 1c1384

pentadecimal (15) 14be79

As an angle

1,002,264° = 2,784 × 360° + 24°

24° ≈ 0.419 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬二千二百六十四
Chinese (financial): 壹佰萬貳仟貳佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٠٢٢٦٤ Devanagari १००२२६४ Bengali ১০০২২৬৪ Tamil ௧௦௦௨௨௬௪ Thai ๑๐๐๒๒๖๔ Tibetan ༡༠༠༢༢༦༤ Khmer ១០០២២៦៤ Lao ໑໐໐໒໒໖໔ Burmese ၁၀၀၂၂၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002264, here are decompositions:

5 + 1002259 = 1002264
7 + 1002257 = 1002264
17 + 1002247 = 1002264
23 + 1002241 = 1002264
37 + 1002227 = 1002264
73 + 1002191 = 1002264
113 + 1002151 = 1002264
163 + 1002101 = 1002264

Showing the first eight; more decompositions exist.

Hex color

#0F4B18

RGB(15, 75, 24)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.75.24.

Address: 0.15.75.24
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.75.24

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 1,002,264 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 US1,002,264 on Google Patents ↗ Look up on USPTO ↗