Live analysis

1,002,728

1,002,728 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.).

1,002,728 (one million two thousand seven hundred twenty-eight) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 17 × 73 × 101. Its proper divisors sum to 1,035,232, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4CE8.

Abundant Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

1 notable fact · grade F

1,002,716 1,002,717 1,002,718 1,002,719 1,002,720 1,002,721 1,002,722 1,002,723 1,002,724 1,002,725 1,002,726 1,002,727 1,002,728 1,002,729 1,002,730 1,002,731 1,002,732 1,002,733 1,002,734 1,002,735 1,002,736 1,002,737 1,002,738 1,002,739 1,002,740

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 8,272,001
Square (n²): 1,005,463,441,984
Cube (n³): 1,008,206,346,253,732,352
Divisor count: 32
σ(n) — sum of divisors: 2,037,960
φ(n) — Euler's totient: 460,800
Sum of prime factors: 197

Primality

Prime factorization: 2 ³ × 17 × 73 × 101

Nearest primes: 1,002,721 (−7) · 1,002,739 (+11)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 8 · 17 · 34 · 68 · 73 · 101 · 136 · 146 · 202 · 292 · 404 · 584 · 808 · 1241 · 1717 · 2482 · 3434 · 4964 · 6868 · 7373 · 9928 · 13736 · 14746 · 29492 · 58984 · 125341 · 250682 · 501364 (half) · 1002728

Aliquot sum (sum of proper divisors): 1,035,232

Factor pairs (a × b = 1,002,728)

1 × 1002728

2 × 501364

4 × 250682

8 × 125341

17 × 58984

34 × 29492

68 × 14746

73 × 13736

101 × 9928

136 × 7373

146 × 6868

202 × 4964

292 × 3434

404 × 2482

584 × 1717

808 × 1241

First multiples

1,002,728 · 2,005,456 (double) · 3,008,184 · 4,010,912 · 5,013,640 · 6,016,368 · 7,019,096 · 8,021,824 · 9,024,552 · 10,027,280

Sums & aliquot sequence

As a sum of two squares: 82² + 998² = 278² + 962² = 542² + 842² = 698² + 718²

As consecutive integers: 62,663 + 62,664 + … + 62,678 58,976 + 58,977 + … + 58,992 13,700 + 13,701 + … + 13,772 9,878 + 9,879 + … + 9,978

Aliquot sequence: 1,002,728 → 1,035,232 → 1,332,560 → 1,765,828 → 1,375,464 → 2,092,056 → 3,227,544 → 5,898,456 → 11,511,144 → 21,833,856 → 46,746,864 → 85,901,392 → 80,829,008 → 89,993,392 → 84,368,836 → 65,923,964 → 51,023,860 — unresolved within range

Continued fraction of √n

√1,002,728 = [1001; (2, 1, 3, 14, 2, 1, 8, 3, 3, 1, 4, 2, 5, 1, 4, 1, 2, 1, 3, 16, 3, 1, 1, 11, …)]

Representations

In words: one million two thousand seven hundred twenty-eight
Ordinal: 1002728th
Binary: 11110100110011101000
Octal: 3646350
Hexadecimal: 0xF4CE8
Base64: D0zo
One's complement: 4,293,964,567 (32-bit)
Scientific notation: 1.002728 × 10⁶
As a duration: 1,002,728 s = 11 days, 14 hours, 32 minutes, 8 seconds

In other bases

ternary (3) 1212221111002

quaternary (4) 3310303220

quinary (5) 224041403

senary (6) 33254132

septenary (7) 11344256

nonary (9) 1787432

undecimal (11) 625401

duodecimal (12) 404348

tridecimal (13) 29153c

tetradecimal (14) 1c15d6

pentadecimal (15) 14c188

As an angle

1,002,728° = 2,785 × 360° + 128°

128° ≈ 2.234 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬二千七百二十八
Chinese (financial): 壹佰萬貳仟柒佰貳拾捌

In other modern scripts

Eastern Arabic ١٠٠٢٧٢٨ Devanagari १००२७२८ Bengali ১০০২৭২৮ Tamil ௧௦௦௨௭௨௮ Thai ๑๐๐๒๗๒๘ Tibetan ༡༠༠༢༧༢༨ Khmer ១០០២៧២៨ Lao ໑໐໐໒໗໒໘ Burmese ၁၀၀၂၇၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002728, here are decompositions:

7 + 1002721 = 1002728
19 + 1002709 = 1002728
109 + 1002619 = 1002728
151 + 1002577 = 1002728
211 + 1002517 = 1002728
241 + 1002487 = 1002728
271 + 1002457 = 1002728
277 + 1002451 = 1002728

Showing the first eight; more decompositions exist.

Hex color

#0F4CE8

RGB(15, 76, 232)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.76.232.

Address: 0.15.76.232
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.76.232

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 1,002,728 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 US1,002,728 on Google Patents ↗ Look up on USPTO ↗