Live analysis

1,006,264

1,006,264 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.).

1,006,264 (one million six thousand two hundred sixty-four) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2³ × 7² × 17 × 151. Its proper divisors sum to 1,333,016, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5AB8.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,006,252 1,006,253 1,006,254 1,006,255 1,006,256 1,006,257 1,006,258 1,006,259 1,006,260 1,006,261 1,006,262 1,006,263 1,006,264 1,006,265 1,006,266 1,006,267 1,006,268 1,006,269 1,006,270 1,006,271 1,006,272 1,006,273 1,006,274 1,006,275 1,006,276

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 4,626,001
Square (n²): 1,012,567,237,696
Cube (n³): 1,018,909,958,872,927,744
Divisor count: 48
σ(n) — sum of divisors: 2,339,280
φ(n) — Euler's totient: 403,200
Sum of prime factors: 188

Primality

Prime factorization: 2 ³ × 7 ² × 17 × 151

Nearest primes: 1,006,253 (−11) · 1,006,267 (+3)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 7 · 8 · 14 · 17 · 28 · 34 · 49 · 56 · 68 · 98 · 119 · 136 · 151 · 196 · 238 · 302 · 392 · 476 · 604 · 833 · 952 · 1057 · 1208 · 1666 · 2114 · 2567 · 3332 · 4228 · 5134 · 6664 · 7399 · 8456 · 10268 · 14798 · 17969 · 20536 · 29596 · 35938 · 59192 · 71876 · 125783 · 143752 · 251566 · 503132 (half) · 1006264

Aliquot sum (sum of proper divisors): 1,333,016

Factor pairs (a × b = 1,006,264)

1 × 1006264

2 × 503132

4 × 251566

7 × 143752

8 × 125783

14 × 71876

17 × 59192

28 × 35938

34 × 29596

49 × 20536

56 × 17969

68 × 14798

98 × 10268

119 × 8456

136 × 7399

151 × 6664

196 × 5134

238 × 4228

302 × 3332

392 × 2567

476 × 2114

604 × 1666

833 × 1208

952 × 1057

First multiples

1,006,264 · 2,012,528 (double) · 3,018,792 · 4,025,056 · 5,031,320 · 6,037,584 · 7,043,848 · 8,050,112 · 9,056,376 · 10,062,640

Sums & aliquot sequence

As consecutive integers: 143,749 + 143,750 + … + 143,755 62,884 + 62,885 + … + 62,899 59,184 + 59,185 + … + 59,200 20,512 + 20,513 + … + 20,560

Aliquot sequence: 1,006,264 → 1,333,016 → 1,166,404 → 1,004,086 → 502,046 → 255,898 → 144,710 → 125,290 → 139,094 → 81,874 → 55,214 → 32,026 → 16,934 → 8,470 → 10,682 → 8,128 → 8,128 — reaches a perfect number

Continued fraction of √n

√1,006,264 = [1003; (7, 1, 6, 1, 1, 8, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 5, 2, 1, 1, 4, …)]

Representations

In words: one million six thousand two hundred sixty-four
Ordinal: 1006264th
Binary: 11110101101010111000
Octal: 3655270
Hexadecimal: 0xF5AB8
Base64: D1q4
One's complement: 4,293,961,031 (32-bit)
Scientific notation: 1.006264 × 10⁶
As a duration: 1,006,264 s = 11 days, 15 hours, 31 minutes, 4 seconds

In other bases

ternary (3) 1220010100001

quaternary (4) 3311222320

quinary (5) 224200024

senary (6) 33322344

septenary (7) 11360500

nonary (9) 1803301

undecimal (11) 628026

duodecimal (12) 4063b4

tridecimal (13) 29302c

tetradecimal (14) 1c2a00

pentadecimal (15) 14d244

As an angle

1,006,264° = 2,795 × 360° + 64°

64° ≈ 1.117 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬六千二百六十四
Chinese (financial): 壹佰萬陸仟貳佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٠٦٢٦٤ Devanagari १००६२६४ Bengali ১০০৬২৬৪ Tamil ௧௦௦௬௨௬௪ Thai ๑๐๐๖๒๖๔ Tibetan ༡༠༠༦༢༦༤ Khmer ១០០៦២៦៤ Lao ໑໐໐໖໒໖໔ Burmese ၁၀၀၆၂၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006264, here are decompositions:

11 + 1006253 = 1006264
23 + 1006241 = 1006264
47 + 1006217 = 1006264
71 + 1006193 = 1006264
101 + 1006163 = 1006264
113 + 1006151 = 1006264
131 + 1006133 = 1006264
173 + 1006091 = 1006264

Showing the first eight; more decompositions exist.

Hex color

#0F5AB8

RGB(15, 90, 184)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.90.184.

Address: 0.15.90.184
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.90.184

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 1,006,264 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 US1,006,264 on Google Patents ↗ Look up on USPTO ↗