Live analysis

1,008,364

1,008,364 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.).

1,008,364 (one million eight thousand three hundred sixty-four) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 36,013. Its proper divisors sum to 1,008,420, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF62EC.

Abundant Number Cube-Free Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,008,352 1,008,353 1,008,354 1,008,355 1,008,356 1,008,357 1,008,358 1,008,359 1,008,360 1,008,361 1,008,362 1,008,363 1,008,364 1,008,365 1,008,366 1,008,367 1,008,368 1,008,369 1,008,370 1,008,371 1,008,372 1,008,373 1,008,374 1,008,375 1,008,376

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 22
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 4,638,001
Recamán's sequence: a(348,723) = 1,008,364
Square (n²): 1,016,797,956,496
Cube (n³): 1,025,302,454,604,132,544
Divisor count: 12
σ(n) — sum of divisors: 2,016,784
φ(n) — Euler's totient: 432,144
Sum of prime factors: 36,024

Primality

Prime factorization: 2 ² × 7 × 36013

Nearest primes: 1,008,353 (−11) · 1,008,373 (+9)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 7 · 14 · 28 · 36013 · 72026 · 144052 · 252091 · 504182 (half) · 1008364

Aliquot sum (sum of proper divisors): 1,008,420

Factor pairs (a × b = 1,008,364)

1 × 1008364

2 × 504182

4 × 252091

7 × 144052

14 × 72026

28 × 36013

First multiples

1,008,364 · 2,016,728 (double) · 3,025,092 · 4,033,456 · 5,041,820 · 6,050,184 · 7,058,548 · 8,066,912 · 9,075,276 · 10,083,640

Sums & aliquot sequence

As consecutive integers: 144,049 + 144,050 + … + 144,055 126,042 + 126,043 + … + 126,049 17,979 + 17,980 + … + 18,034

Aliquot sequence: 1,008,364 → 1,008,420 → 2,285,724 → 3,809,764 → 3,889,564 → 4,039,364 → 4,421,032 → 5,915,288 → 5,206,792 → 4,580,168 → 4,007,662 → 2,012,330 → 1,609,882 → 804,944 → 977,680 → 1,545,596 → 1,367,356 — unresolved within range

Continued fraction of √n

√1,008,364 = [1004; (5, 1, 3, 2, 1, 3, 1, 1, 2, 3, 5, 3, 1, 1, 10, 5, 1, 4, 3, 17, 669, 2, 1, 1, …)]

Representations

In words: one million eight thousand three hundred sixty-four
Ordinal: 1008364th
Binary: 11110110001011101100
Octal: 3661354
Hexadecimal: 0xF62EC
Base64: D2Ls
One's complement: 4,293,958,931 (32-bit)
Scientific notation: 1.008364 × 10⁶
As a duration: 1,008,364 s = 11 days, 16 hours, 6 minutes, 4 seconds

In other bases

ternary (3) 1220020012211

quaternary (4) 3312023230

quinary (5) 224231424

senary (6) 33340204

septenary (7) 11366560

nonary (9) 1806184

undecimal (11) 629665

duodecimal (12) 407664

tridecimal (13) 293c86

tetradecimal (14) 1c36a0

pentadecimal (15) 14db94

As an angle

1,008,364° = 2,801 × 360° + 4°

4° ≈ 0.07 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬八千三百六十四
Chinese (financial): 壹佰萬捌仟參佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٠٨٣٦٤ Devanagari १००८३६४ Bengali ১০০৮৩৬৪ Tamil ௧௦௦௮௩௬௪ Thai ๑๐๐๘๓๖๔ Tibetan ༡༠༠༨༣༦༤ Khmer ១០០៨៣៦៤ Lao ໑໐໐໘໓໖໔ Burmese ၁၀၀၈၃၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008364, here are decompositions:

11 + 1008353 = 1008364
17 + 1008347 = 1008364
41 + 1008323 = 1008364
47 + 1008317 = 1008364
101 + 1008263 = 1008364
107 + 1008257 = 1008364
131 + 1008233 = 1008364
233 + 1008131 = 1008364

Showing the first eight; more decompositions exist.

Hex color

#0F62EC

RGB(15, 98, 236)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.98.236.

Address: 0.15.98.236
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.98.236

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 1,008,364 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 US1,008,364 on Google Patents ↗ Look up on USPTO ↗