Live analysis

1,010,628

1,010,628 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.).

1,010,628 (one million ten thousand six hundred twenty-eight) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 67 × 419. Its proper divisors sum to 1,588,332, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6BC4.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,010,616 1,010,617 1,010,618 1,010,619 1,010,620 1,010,621 1,010,622 1,010,623 1,010,624 1,010,625 1,010,626 1,010,627 1,010,628 1,010,629 1,010,630 1,010,631 1,010,632 1,010,633 1,010,634 1,010,635 1,010,636 1,010,637 1,010,638 1,010,639 1,010,640

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 8,260,101
Square (n²): 1,021,368,954,384
Cube (n³): 1,032,224,063,631,193,152
Divisor count: 36
σ(n) — sum of divisors: 2,598,960
φ(n) — Euler's totient: 331,056
Sum of prime factors: 496

Primality

Prime factorization: 2 ² × 3 ² × 67 × 419

Nearest primes: 1,010,627 (−1) · 1,010,671 (+43)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 67 · 134 · 201 · 268 · 402 · 419 · 603 · 804 · 838 · 1206 · 1257 · 1676 · 2412 · 2514 · 3771 · 5028 · 7542 · 15084 · 28073 · 56146 · 84219 · 112292 · 168438 · 252657 · 336876 · 505314 (half) · 1010628

Aliquot sum (sum of proper divisors): 1,588,332

Factor pairs (a × b = 1,010,628)

1 × 1010628

2 × 505314

3 × 336876

4 × 252657

6 × 168438

9 × 112292

12 × 84219

18 × 56146

36 × 28073

67 × 15084

134 × 7542

201 × 5028

268 × 3771

402 × 2514

419 × 2412

603 × 1676

804 × 1257

838 × 1206

First multiples

1,010,628 · 2,021,256 (double) · 3,031,884 · 4,042,512 · 5,053,140 · 6,063,768 · 7,074,396 · 8,085,024 · 9,095,652 · 10,106,280

Sums & aliquot sequence

As consecutive integers: 336,875 + 336,876 + 336,877 126,325 + 126,326 + … + 126,332 112,288 + 112,289 + … + 112,296 42,098 + 42,099 + … + 42,121

Aliquot sequence: 1,010,628 → 1,588,332 → 2,117,804 → 1,915,876 → 1,447,064 → 1,266,196 → 1,046,156 → 829,564 → 718,724 → 566,140 → 622,796 → 467,104 → 536,864 → 576,976 → 540,946 → 386,414 → 288,010 — unresolved within range

Continued fraction of √n

√1,010,628 = [1005; (3, 2, 1, 222, 1, 2, 3, 2010)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one million ten thousand six hundred twenty-eight
Ordinal: 1010628th
Binary: 11110110101111000100
Octal: 3665704
Hexadecimal: 0xF6BC4
Base64: D2vE
One's complement: 4,293,956,667 (32-bit)
Scientific notation: 1.010628 × 10⁶
As a duration: 1,010,628 s = 11 days, 16 hours, 43 minutes, 48 seconds

In other bases

ternary (3) 1220100022200

quaternary (4) 3312233010

quinary (5) 224320003

senary (6) 33354500

septenary (7) 11406303

nonary (9) 1810280

undecimal (11) 630333

duodecimal (12) 408a30

tridecimal (13) 295008

tetradecimal (14) 1c443a

pentadecimal (15) 14e6a3

As an angle

1,010,628° = 2,807 × 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 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬零六百二十八
Chinese (financial): 壹佰零壹萬零陸佰貳拾捌

In other modern scripts

Eastern Arabic ١٠١٠٦٢٨ Devanagari १०१०६२८ Bengali ১০১০৬২৮ Tamil ௧௦௧௦௬௨௮ Thai ๑๐๑๐๖๒๘ Tibetan ༡༠༡༠༦༢༨ Khmer ១០១០៦២៨ Lao ໑໐໑໐໖໒໘ Burmese ၁၀၁၀၆၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010628, here are decompositions:

5 + 1010623 = 1010628
11 + 1010617 = 1010628
61 + 1010567 = 1010628
79 + 1010549 = 1010628
109 + 1010519 = 1010628
127 + 1010501 = 1010628
137 + 1010491 = 1010628
167 + 1010461 = 1010628

Showing the first eight; more decompositions exist.

Hex color

#0F6BC4

RGB(15, 107, 196)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.107.196.

Address: 0.15.107.196
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.107.196

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 0628 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

0628-10-01 (MMDYYYY (US, single-digit day))
0628-01-10 (DDMYYYY (Euro, single-digit month))

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 1,010,628 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 US1,010,628 on Google Patents ↗ Look up on USPTO ↗