Live analysis

1,000,728

1,000,728 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.).

1,000,728 (one million seven hundred twenty-eight) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3³ × 41 × 113. Its proper divisors sum to 1,872,072, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4518.

Abundant Number Gapful Number Harshad / Niven Odious Number Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,000,716 1,000,717 1,000,718 1,000,719 1,000,720 1,000,721 1,000,722 1,000,723 1,000,724 1,000,725 1,000,726 1,000,727 1,000,728 1,000,729 1,000,730 1,000,731 1,000,732 1,000,733 1,000,734 1,000,735 1,000,736 1,000,737 1,000,738 1,000,739 1,000,740

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 8,270,001
Square (n²): 1,001,456,529,984
Cube (n³): 1,002,185,590,337,828,352
Divisor count: 64
σ(n) — sum of divisors: 2,872,800
φ(n) — Euler's totient: 322,560
Sum of prime factors: 169

Primality

Prime factorization: 2 ³ × 3 ³ × 41 × 113

Nearest primes: 1,000,723 (−5) · 1,000,763 (+35)

Divisors & multiples

All divisors (64)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 27 · 36 · 41 · 54 · 72 · 82 · 108 · 113 · 123 · 164 · 216 · 226 · 246 · 328 · 339 · 369 · 452 · 492 · 678 · 738 · 904 · 984 · 1017 · 1107 · 1356 · 1476 · 2034 · 2214 · 2712 · 2952 · 3051 · 4068 · 4428 · 4633 · 6102 · 8136 · 8856 · 9266 · 12204 · 13899 · 18532 · 24408 · 27798 · 37064 · 41697 · 55596 · 83394 · 111192 · 125091 · 166788 · 250182 · 333576 · 500364 (half) · 1000728

Aliquot sum (sum of proper divisors): 1,872,072

Factor pairs (a × b = 1,000,728)

1 × 1000728

2 × 500364

3 × 333576

4 × 250182

6 × 166788

8 × 125091

9 × 111192

12 × 83394

18 × 55596

24 × 41697

27 × 37064

36 × 27798

41 × 24408

54 × 18532

72 × 13899

82 × 12204

108 × 9266

113 × 8856

123 × 8136

164 × 6102

216 × 4633

226 × 4428

246 × 4068

328 × 3051

339 × 2952

369 × 2712

452 × 2214

492 × 2034

678 × 1476

738 × 1356

904 × 1107

984 × 1017

First multiples

1,000,728 · 2,001,456 (double) · 3,002,184 · 4,002,912 · 5,003,640 · 6,004,368 · 7,005,096 · 8,005,824 · 9,006,552 · 10,007,280

Sums & aliquot sequence

As consecutive integers: 333,575 + 333,576 + 333,577 111,188 + 111,189 + … + 111,196 62,538 + 62,539 + … + 62,553 37,051 + 37,052 + … + 37,077

Aliquot sequence: 1,000,728 → 1,872,072 → 3,441,528 → 6,490,152 → 11,538,648 → 24,600,312 → 49,109,688 → 83,895,912 → 151,092,138 → 151,531,638 → 155,368,842 → 155,815,638 → 184,145,898 → 184,145,910 → 316,870,410 → 485,871,990 → 783,896,970 — unresolved within range

Continued fraction of √n

√1,000,728 = [1000; (2, 1, 2, 1, 27, 16, 2, 221, 1, 4, 1, 1, 249, 1, 1, 4, 1, 221, 2, 16, 27, 1, 2, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: one million seven hundred twenty-eight
Ordinal: 1000728th
Binary: 11110100010100011000
Octal: 3642430
Hexadecimal: 0xF4518
Base64: D0UY
One's complement: 4,293,966,567 (32-bit)
Scientific notation: 1.000728 × 10⁶
As a duration: 1,000,728 s = 11 days, 13 hours, 58 minutes, 48 seconds

In other bases

ternary (3) 1212211202000

quaternary (4) 3310110120

quinary (5) 224010403

senary (6) 33241000

septenary (7) 11335401

nonary (9) 1784660

undecimal (11) 623953

duodecimal (12) 403160

tridecimal (13) 290661

tetradecimal (14) 1c09a8

pentadecimal (15) 14b7a3

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬零七百二十八
Chinese (financial): 壹佰萬零柒佰貳拾捌

In other modern scripts

Eastern Arabic ١٠٠٠٧٢٨ Devanagari १०००७२८ Bengali ১০০০৭২৮ Tamil ௧௦௦௦௭௨௮ Thai ๑๐๐๐๗๒๘ Tibetan ༡༠༠༠༧༢༨ Khmer ១០០០៧២៨ Lao ໑໐໐໐໗໒໘ Burmese ၁၀၀၀၇၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000728, here are decompositions:

5 + 1000723 = 1000728
7 + 1000721 = 1000728
31 + 1000697 = 1000728
37 + 1000691 = 1000728
59 + 1000669 = 1000728
61 + 1000667 = 1000728
89 + 1000639 = 1000728
107 + 1000621 = 1000728

Showing the first eight; more decompositions exist.

Hex color

#0F4518

RGB(15, 69, 24)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.69.24.

Address: 0.15.69.24
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.69.24

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 1,000,728 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 US1,000,728 on Google Patents ↗ Look up on USPTO ↗