Live analysis

1,006,314

1,006,314 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.).

1,006,314 (one million six thousand three hundred fourteen) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 367 × 457. Its proper divisors sum to 1,016,214, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5AEA.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,006,302 1,006,303 1,006,304 1,006,305 1,006,306 1,006,307 1,006,308 1,006,309 1,006,310 1,006,311 1,006,312 1,006,313 1,006,314 1,006,315 1,006,316 1,006,317 1,006,318 1,006,319 1,006,320 1,006,321 1,006,322 1,006,323 1,006,324 1,006,325 1,006,326

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 4,136,001
Square (n²): 1,012,667,866,596
Cube (n³): 1,019,061,851,505,687,144
Divisor count: 16
σ(n) — sum of divisors: 2,022,528
φ(n) — Euler's totient: 333,792
Sum of prime factors: 829

Primality

Prime factorization: 2 × 3 × 367 × 457

Nearest primes: 1,006,309 (−5) · 1,006,331 (+17)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 367 · 457 · 734 · 914 · 1101 · 1371 · 2202 · 2742 · 167719 · 335438 · 503157 (half) · 1006314

Aliquot sum (sum of proper divisors): 1,016,214

Factor pairs (a × b = 1,006,314)

1 × 1006314

2 × 503157

3 × 335438

6 × 167719

367 × 2742

457 × 2202

734 × 1371

914 × 1101

First multiples

1,006,314 · 2,012,628 (double) · 3,018,942 · 4,025,256 · 5,031,570 · 6,037,884 · 7,044,198 · 8,050,512 · 9,056,826 · 10,063,140

Sums & aliquot sequence

As consecutive integers: 335,437 + 335,438 + 335,439 251,577 + 251,578 + 251,579 + 251,580 83,854 + 83,855 + … + 83,865 2,559 + 2,560 + … + 2,925

Aliquot sequence: 1,006,314 → 1,016,214 → 1,016,226 → 1,462,698 → 1,815,192 → 3,393,648 → 6,104,256 → 10,047,096 → 17,752,104 → 30,326,706 → 37,604,430 → 60,557,634 → 70,650,612 → 128,530,188 → 197,333,532 → 348,421,860 → 708,458,328 — unresolved within range

Continued fraction of √n

√1,006,314 = [1003; (6, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 5, 1, 4, 11, 3, 1, 7, 19, 1, 1, 5, 1, …)]

Representations

In words: one million six thousand three hundred fourteen
Ordinal: 1006314th
Binary: 11110101101011101010
Octal: 3655352
Hexadecimal: 0xF5AEA
Base64: D1rq
One's complement: 4,293,960,981 (32-bit)
Scientific notation: 1.006314 × 10⁶
As a duration: 1,006,314 s = 11 days, 15 hours, 31 minutes, 54 seconds

In other bases

ternary (3) 1220010101220

quaternary (4) 3311223222

quinary (5) 224200224

senary (6) 33322510

septenary (7) 11360601

nonary (9) 1803356

undecimal (11) 628071

duodecimal (12) 406436

tridecimal (13) 29306a

tetradecimal (14) 1c2a38

pentadecimal (15) 14d279

As an angle

1,006,314° = 2,795 × 360° + 114°

114° ≈ 1.99 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬六千三百一十四
Chinese (financial): 壹佰萬陸仟參佰壹拾肆

In other modern scripts

Eastern Arabic ١٠٠٦٣١٤ Devanagari १००६३१४ Bengali ১০০৬৩১৪ Tamil ௧௦௦௬௩௧௪ Thai ๑๐๐๖๓๑๔ Tibetan ༡༠༠༦༣༡༤ Khmer ១០០៦៣១៤ Lao ໑໐໐໖໓໑໔ Burmese ၁၀၀၆၃၁၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006314, here are decompositions:

5 + 1006309 = 1006314
7 + 1006307 = 1006314
11 + 1006303 = 1006314
13 + 1006301 = 1006314
47 + 1006267 = 1006314
61 + 1006253 = 1006314
73 + 1006241 = 1006314
83 + 1006231 = 1006314

Showing the first eight; more decompositions exist.

Hex color

#0F5AEA

RGB(15, 90, 234)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.90.234.

Address: 0.15.90.234
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.90.234

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 1,006,314 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 US1,006,314 on Google Patents ↗ Look up on USPTO ↗