Live analysis

1,009,728

1,009,728 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.).

1,009,728 (one million nine thousand seven hundred twenty-eight) is an even 7-digit number. It is a composite number with 42 divisors, and factors as 2⁶ × 3² × 1,753. Its proper divisors sum to 1,886,126, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6840.

Abundant Number Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,009,716 1,009,717 1,009,718 1,009,719 1,009,720 1,009,721 1,009,722 1,009,723 1,009,724 1,009,725 1,009,726 1,009,727 1,009,728 1,009,729 1,009,730 1,009,731 1,009,732 1,009,733 1,009,734 1,009,735 1,009,736 1,009,737 1,009,738 1,009,739 1,009,740

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 27
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 8,279,001
Recamán's sequence: a(352,895) = 1,009,728
Square (n²): 1,019,550,633,984
Cube (n³): 1,029,468,822,551,396,352
Divisor count: 42
σ(n) — sum of divisors: 2,895,854
φ(n) — Euler's totient: 336,384
Sum of prime factors: 1,771

Primality

Prime factorization: 2 ⁶ × 3 ² × 1753

Nearest primes: 1,009,727 (−1) · 1,009,741 (+13)

Divisors & multiples

All divisors (42)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 32 · 36 · 48 · 64 · 72 · 96 · 144 · 192 · 288 · 576 · 1753 · 3506 · 5259 · 7012 · 10518 · 14024 · 15777 · 21036 · 28048 · 31554 · 42072 · 56096 · 63108 · 84144 · 112192 · 126216 · 168288 · 252432 · 336576 · 504864 (half) · 1009728

Aliquot sum (sum of proper divisors): 1,886,126

Factor pairs (a × b = 1,009,728)

1 × 1009728

2 × 504864

3 × 336576

4 × 252432

6 × 168288

8 × 126216

9 × 112192

12 × 84144

16 × 63108

18 × 56096

24 × 42072

32 × 31554

36 × 28048

48 × 21036

64 × 15777

72 × 14024

96 × 10518

144 × 7012

192 × 5259

288 × 3506

576 × 1753

First multiples

1,009,728 · 2,019,456 (double) · 3,029,184 · 4,038,912 · 5,048,640 · 6,058,368 · 7,068,096 · 8,077,824 · 9,087,552 · 10,097,280

Sums & aliquot sequence

As a sum of two squares: 648² + 768²

As consecutive integers: 336,575 + 336,576 + 336,577 112,188 + 112,189 + … + 112,196 7,825 + 7,826 + … + 7,952 2,438 + 2,439 + … + 2,821

Aliquot sequence: 1,009,728 → 1,886,126 → 1,200,298 → 763,862 → 486,130 → 397,094 → 201,274 → 103,034 → 51,520 → 94,784 → 93,430 → 74,762 → 41,338 → 26,342 → 13,174 → 9,434 → 5,146 — unresolved within range

Continued fraction of √n

√1,009,728 = [1004; (1, 5, 1, 3, 3, 2, 1, 1, 2, 1, 3, 3, 1, 1, 1, 5, 1, 1, 3, 2, 1, 1, 1, 1, …)]

Representations

In words: one million nine thousand seven hundred twenty-eight
Ordinal: 1009728th
Binary: 11110110100001000000
Octal: 3664100
Hexadecimal: 0xF6840
Base64: D2hA
One's complement: 4,293,957,567 (32-bit)
Scientific notation: 1.009728 × 10⁶
As a duration: 1,009,728 s = 11 days, 16 hours, 28 minutes, 48 seconds

In other bases

ternary (3) 1220022002100

quaternary (4) 3312201000

quinary (5) 224302403

senary (6) 33350400

septenary (7) 11403546

nonary (9) 1808070

undecimal (11) 62a695

duodecimal (12) 408400

tridecimal (13) 294795

tetradecimal (14) 1c3d96

pentadecimal (15) 14e2a3

As an angle

1,009,728° = 2,804 × 360° + 288°

288° ≈ 5.027 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬九千七百二十八
Chinese (financial): 壹佰萬玖仟柒佰貳拾捌

In other modern scripts

Eastern Arabic ١٠٠٩٧٢٨ Devanagari १००९७२८ Bengali ১০০৯৭২৮ Tamil ௧௦௦௯௭௨௮ Thai ๑๐๐๙๗๒๘ Tibetan ༡༠༠༩༧༢༨ Khmer ១០០៩៧២៨ Lao ໑໐໐໙໗໒໘ Burmese ၁၀၀၉၇၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1009728, here are decompositions:

59 + 1009669 = 1009728
79 + 1009649 = 1009728
101 + 1009627 = 1009728
107 + 1009621 = 1009728
127 + 1009601 = 1009728
191 + 1009537 = 1009728
197 + 1009531 = 1009728
227 + 1009501 = 1009728

Showing the first eight; more decompositions exist.

Hex color

#0F6840

RGB(15, 104, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.104.64.

Address: 0.15.104.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.104.64

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 1,009,728 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 US1,009,728 on Google Patents ↗ Look up on USPTO ↗