Live analysis

1,006,728

1,006,728 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.).

1,006,728 (one million six thousand seven hundred twenty-eight) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 41,947. Its proper divisors sum to 1,510,152, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5C88.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Moran Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,006,716 1,006,717 1,006,718 1,006,719 1,006,720 1,006,721 1,006,722 1,006,723 1,006,724 1,006,725 1,006,726 1,006,727 1,006,728 1,006,729 1,006,730 1,006,731 1,006,732 1,006,733 1,006,734 1,006,735 1,006,736 1,006,737 1,006,738 1,006,739 1,006,740

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 8,276,001
Square (n²): 1,013,501,265,984
Cube (n³): 1,020,320,102,501,540,352
Divisor count: 16
σ(n) — sum of divisors: 2,516,880
φ(n) — Euler's totient: 335,568
Sum of prime factors: 41,956

Primality

Prime factorization: 2 ³ × 3 × 41947

Nearest primes: 1,006,721 (−7) · 1,006,739 (+11)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 41947 · 83894 · 125841 · 167788 · 251682 · 335576 · 503364 (half) · 1006728

Aliquot sum (sum of proper divisors): 1,510,152

Factor pairs (a × b = 1,006,728)

1 × 1006728

2 × 503364

3 × 335576

4 × 251682

6 × 167788

8 × 125841

12 × 83894

24 × 41947

First multiples

1,006,728 · 2,013,456 (double) · 3,020,184 · 4,026,912 · 5,033,640 · 6,040,368 · 7,047,096 · 8,053,824 · 9,060,552 · 10,067,280

Sums & aliquot sequence

As consecutive integers: 335,575 + 335,576 + 335,577 62,913 + 62,914 + … + 62,928 20,950 + 20,951 + … + 20,997

Aliquot sequence: 1,006,728 → 1,510,152 → 2,896,248 → 4,344,432 → 7,269,408 → 13,919,760 → 32,829,852 → 51,906,660 → 105,502,620 → 194,921,700 → 369,052,620 → 664,294,884 → 1,048,068,636 → 1,397,424,876 → 1,865,795,028 → 2,547,366,060 → 4,695,396,180 — unresolved within range

Continued fraction of √n

√1,006,728 = [1003; (2, 1, 3, 1, 3, 2, 2, 10, 2, 71, 5, 4, 2, 3, 2, 1, 7, 1, 2, 2, 1, 40, 3, 1, …)]

Representations

In words: one million six thousand seven hundred twenty-eight
Ordinal: 1006728th
Binary: 11110101110010001000
Octal: 3656210
Hexadecimal: 0xF5C88
Base64: D1yI
One's complement: 4,293,960,567 (32-bit)
Scientific notation: 1.006728 × 10⁶
As a duration: 1,006,728 s = 11 days, 15 hours, 38 minutes, 48 seconds

In other bases

ternary (3) 1220010222020

quaternary (4) 3311302020

quinary (5) 224203403

senary (6) 33324440

septenary (7) 11362032

nonary (9) 1803866

undecimal (11) 628408

duodecimal (12) 406720

tridecimal (13) 2932c8

tetradecimal (14) 1c2c52

pentadecimal (15) 14d453

As an angle

1,006,728° = 2,796 × 360° + 168°

168° ≈ 2.932 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬六千七百二十八
Chinese (financial): 壹佰萬陸仟柒佰貳拾捌

In other modern scripts

Eastern Arabic ١٠٠٦٧٢٨ Devanagari १००६७२८ Bengali ১০০৬৭২৮ Tamil ௧௦௦௬௭௨௮ Thai ๑๐๐๖๗๒๘ Tibetan ༡༠༠༦༧༢༨ Khmer ១០០៦៧២៨ Lao ໑໐໐໖໗໒໘ Burmese ၁၀၀၆၇၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006728, here are decompositions:

7 + 1006721 = 1006728
17 + 1006711 = 1006728
139 + 1006589 = 1006728
181 + 1006547 = 1006728
197 + 1006531 = 1006728
257 + 1006471 = 1006728
337 + 1006391 = 1006728
367 + 1006361 = 1006728

Showing the first eight; more decompositions exist.

Hex color

#0F5C88

RGB(15, 92, 136)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.92.136.

Address: 0.15.92.136
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.92.136

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 1,006,728 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 US1,006,728 on Google Patents ↗ Look up on USPTO ↗