Live analysis

1,001,628

1,001,628 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.).

1,001,628 (one million one thousand six hundred twenty-eight) is an even 7-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 27,823. Its proper divisors sum to 1,530,356, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF489C.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,001,616 1,001,617 1,001,618 1,001,619 1,001,620 1,001,621 1,001,622 1,001,623 1,001,624 1,001,625 1,001,626 1,001,627 1,001,628 1,001,629 1,001,630 1,001,631 1,001,632 1,001,633 1,001,634 1,001,635 1,001,636 1,001,637 1,001,638 1,001,639 1,001,640

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 8,261,001
Square (n²): 1,003,258,650,384
Cube (n³): 1,004,891,955,466,825,152
Divisor count: 18
σ(n) — sum of divisors: 2,531,984
φ(n) — Euler's totient: 333,864
Sum of prime factors: 27,833

Primality

Prime factorization: 2 ² × 3 ² × 27823

Nearest primes: 1,001,621 (−7) · 1,001,629 (+1)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 27823 · 55646 · 83469 · 111292 · 166938 · 250407 · 333876 · 500814 (half) · 1001628

Aliquot sum (sum of proper divisors): 1,530,356

Factor pairs (a × b = 1,001,628)

1 × 1001628

2 × 500814

3 × 333876

4 × 250407

6 × 166938

9 × 111292

12 × 83469

18 × 55646

36 × 27823

First multiples

1,001,628 · 2,003,256 (double) · 3,004,884 · 4,006,512 · 5,008,140 · 6,009,768 · 7,011,396 · 8,013,024 · 9,014,652 · 10,016,280

Sums & aliquot sequence

As consecutive integers: 333,875 + 333,876 + 333,877 125,200 + 125,201 + … + 125,207 111,288 + 111,289 + … + 111,296 41,723 + 41,724 + … + 41,746

Aliquot sequence: 1,001,628 → 1,530,356 → 1,147,774 → 573,890 → 459,130 → 503,258 → 370,342 → 276,038 → 197,194 → 98,600 → 152,500 → 186,454 → 98,666 → 49,336 → 56,504 → 64,696 → 56,624 — unresolved within range

Continued fraction of √n

√1,001,628 = [1000; (1, 4, 2, 1, 2, 1, 1, 1, 8, 5, 2, 3, 73, 1, 5, 2, 4, 2, 5, 3, 1, 19, 1, 6, …)]

Representations

In words: one million one thousand six hundred twenty-eight
Ordinal: 1001628th
Binary: 11110100100010011100
Octal: 3644234
Hexadecimal: 0xF489C
Base64: D0ic
One's complement: 4,293,965,667 (32-bit)
Scientific notation: 1.001628 × 10⁶
As a duration: 1,001,628 s = 11 days, 14 hours, 13 minutes, 48 seconds

In other bases

ternary (3) 1212212222100

quaternary (4) 3310202130

quinary (5) 224023003

senary (6) 33245100

septenary (7) 11341125

nonary (9) 1785870

undecimal (11) 6245a1

duodecimal (12) 403790

tridecimal (13) 290ba4

tetradecimal (14) 1c104c

pentadecimal (15) 14bba3

As an angle

1,001,628° = 2,782 × 360° + 108°

108° ≈ 1.885 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千六百二十八
Chinese (financial): 壹佰萬壹仟陸佰貳拾捌

In other modern scripts

Eastern Arabic ١٠٠١٦٢٨ Devanagari १००१६२८ Bengali ১০০১৬২৮ Tamil ௧௦௦௧௬௨௮ Thai ๑๐๐๑๖๒๘ Tibetan ༡༠༠༡༦༢༨ Khmer ១០០១៦២៨ Lao ໑໐໐໑໖໒໘ Burmese ၁၀၀၁၆၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001628, here are decompositions:

7 + 1001621 = 1001628
41 + 1001587 = 1001628
59 + 1001569 = 1001628
79 + 1001549 = 1001628
97 + 1001531 = 1001628
101 + 1001527 = 1001628
127 + 1001501 = 1001628
137 + 1001491 = 1001628

Showing the first eight; more decompositions exist.

Hex color

#0F489C

RGB(15, 72, 156)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.72.156.

Address: 0.15.72.156
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.72.156

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 1,001,628 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 US1,001,628 on Google Patents ↗ Look up on USPTO ↗