Live analysis

1,008,768

1,008,768 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.).

1,008,768 (one million eight thousand seven hundred sixty-eight) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 3 × 37 × 71. Its proper divisors sum to 1,781,952, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6480.

Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,008,756 1,008,757 1,008,758 1,008,759 1,008,760 1,008,761 1,008,762 1,008,763 1,008,764 1,008,765 1,008,766 1,008,767 1,008,768 1,008,769 1,008,770 1,008,771 1,008,772 1,008,773 1,008,774 1,008,775 1,008,776 1,008,777 1,008,778 1,008,779 1,008,780

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 30
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 8,678,001
Recamán's sequence: a(347,915) = 1,008,768
Square (n²): 1,017,612,877,824
Cube (n³): 1,026,535,307,536,760,832
Divisor count: 64
σ(n) — sum of divisors: 2,790,720
φ(n) — Euler's totient: 322,560
Sum of prime factors: 125

Primality

Prime factorization: 2 ⁷ × 3 × 37 × 71

Nearest primes: 1,008,743 (−25) · 1,008,773 (+5)

Divisors & multiples

All divisors (64)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 37 · 48 · 64 · 71 · 74 · 96 · 111 · 128 · 142 · 148 · 192 · 213 · 222 · 284 · 296 · 384 · 426 · 444 · 568 · 592 · 852 · 888 · 1136 · 1184 · 1704 · 1776 · 2272 · 2368 · 2627 · 3408 · 3552 · 4544 · 4736 · 5254 · 6816 · 7104 · 7881 · 9088 · 10508 · 13632 · 14208 · 15762 · 21016 · 27264 · 31524 · 42032 · 63048 · 84064 · 126096 · 168128 · 252192 · 336256 · 504384 (half) · 1008768

Aliquot sum (sum of proper divisors): 1,781,952

Factor pairs (a × b = 1,008,768)

1 × 1008768

2 × 504384

3 × 336256

4 × 252192

6 × 168128

8 × 126096

12 × 84064

16 × 63048

24 × 42032

32 × 31524

37 × 27264

48 × 21016

64 × 15762

71 × 14208

74 × 13632

96 × 10508

111 × 9088

128 × 7881

142 × 7104

148 × 6816

192 × 5254

213 × 4736

222 × 4544

284 × 3552

296 × 3408

384 × 2627

426 × 2368

444 × 2272

568 × 1776

592 × 1704

852 × 1184

888 × 1136

First multiples

1,008,768 · 2,017,536 (double) · 3,026,304 · 4,035,072 · 5,043,840 · 6,052,608 · 7,061,376 · 8,070,144 · 9,078,912 · 10,087,680

Sums & aliquot sequence

As consecutive integers: 336,255 + 336,256 + 336,257 27,246 + 27,247 + … + 27,282 14,173 + 14,174 + … + 14,243 9,033 + 9,034 + … + 9,143

Aliquot sequence: 1,008,768 → 1,781,952 → 2,933,304 → 5,291,976 → 7,999,224 → 12,256,776 → 26,268,984 → 55,041,336 → 122,942,664 → 244,842,936 → 414,350,424 → 741,703,176 → 1,324,696,824 → 2,608,225,416 → 4,562,283,384 → 7,793,900,976 → 12,343,810,128 — keeps growing

Continued fraction of √n

√1,008,768 = [1004; (2, 1, 2, 27, 7, 27, 2, 1, 2, 2008)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: one million eight thousand seven hundred sixty-eight
Ordinal: 1008768th
Binary: 11110110010010000000
Octal: 3662200
Hexadecimal: 0xF6480
Base64: D2SA
One's complement: 4,293,958,527 (32-bit)
Scientific notation: 1.008768 × 10⁶
As a duration: 1,008,768 s = 11 days, 16 hours, 12 minutes, 48 seconds

In other bases

ternary (3) 1220020202210

quaternary (4) 3312102000

quinary (5) 224240033

senary (6) 33342120

septenary (7) 11401005

nonary (9) 1806683

undecimal (11) 6299a2

duodecimal (12) 407940

tridecimal (13) 294207

tetradecimal (14) 1c38ac

pentadecimal (15) 14dd63

As an angle

1,008,768° = 2,802 × 360° + 48°

48° ≈ 0.838 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬八千七百六十八
Chinese (financial): 壹佰萬捌仟柒佰陸拾捌

In other modern scripts

Eastern Arabic ١٠٠٨٧٦٨ Devanagari १००८७६८ Bengali ১০০৮৭৬৮ Tamil ௧௦௦௮௭௬௮ Thai ๑๐๐๘๗๖๘ Tibetan ༡༠༠༨༧༦༨ Khmer ១០០៨៧៦៨ Lao ໑໐໐໘໗໖໘ Burmese ၁၀၀၈၇၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008768, here are decompositions:

67 + 1008701 = 1008768
109 + 1008659 = 1008768
151 + 1008617 = 1008768
157 + 1008611 = 1008768
179 + 1008589 = 1008768
181 + 1008587 = 1008768
197 + 1008571 = 1008768
227 + 1008541 = 1008768

Showing the first eight; more decompositions exist.

Hex color

#0F6480

RGB(15, 100, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.100.128.

Address: 0.15.100.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.100.128

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 1,008,768 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 US1,008,768 on Google Patents ↗ Look up on USPTO ↗