Live analysis

1,004,528

1,004,528 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.).

1,004,528 (one million four thousand five hundred twenty-eight) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 7 × 8,969. Its proper divisors sum to 1,220,032, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF53F0.

Abundant Number Arithmetic Number Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,004,516 1,004,517 1,004,518 1,004,519 1,004,520 1,004,521 1,004,522 1,004,523 1,004,524 1,004,525 1,004,526 1,004,527 1,004,528 1,004,529 1,004,530 1,004,531 1,004,532 1,004,533 1,004,534 1,004,535 1,004,536 1,004,537 1,004,538 1,004,539 1,004,540

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 8,254,001
Square (n²): 1,009,076,502,784
Cube (n³): 1,013,645,601,188,605,952
Divisor count: 20
σ(n) — sum of divisors: 2,224,560
φ(n) — Euler's totient: 430,464
Sum of prime factors: 8,984

Primality

Prime factorization: 2 ⁴ × 7 × 8969

Nearest primes: 1,004,527 (−1) · 1,004,537 (+9)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 56 · 112 · 8969 · 17938 · 35876 · 62783 · 71752 · 125566 · 143504 · 251132 · 502264 (half) · 1004528

Aliquot sum (sum of proper divisors): 1,220,032

Factor pairs (a × b = 1,004,528)

1 × 1004528

2 × 502264

4 × 251132

7 × 143504

8 × 125566

14 × 71752

16 × 62783

28 × 35876

56 × 17938

112 × 8969

First multiples

1,004,528 · 2,009,056 (double) · 3,013,584 · 4,018,112 · 5,022,640 · 6,027,168 · 7,031,696 · 8,036,224 · 9,040,752 · 10,045,280

Sums & aliquot sequence

As consecutive integers: 143,501 + 143,502 + … + 143,507 31,376 + 31,377 + … + 31,407 4,373 + 4,374 + … + 4,596

Aliquot sequence: 1,004,528 → 1,220,032 → 1,422,584 → 1,244,776 → 1,268,924 → 1,028,476 → 780,996 → 1,091,644 → 818,740 → 1,100,492 → 940,708 → 705,538 → 359,162 → 179,584 → 199,856 → 187,396 → 170,444 — unresolved within range

Continued fraction of √n

√1,004,528 = [1002; (3, 1, 4, 1, 2, 2, 8, 14, 1, 1, 18, 1, 16, 1, 18, 1, 1, 14, 8, 2, 2, 1, 4, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: one million four thousand five hundred twenty-eight
Ordinal: 1004528th
Binary: 11110101001111110000
Octal: 3651760
Hexadecimal: 0xF53F0
Base64: D1Pw
One's complement: 4,293,962,767 (32-bit)
Scientific notation: 1.004528 × 10⁶
As a duration: 1,004,528 s = 11 days, 15 hours, 2 minutes, 8 seconds

In other bases

ternary (3) 1220000221202

quaternary (4) 3311033300

quinary (5) 224121103

senary (6) 33310332

septenary (7) 11352440

nonary (9) 1800852

undecimal (11) 626798

duodecimal (12) 4053a8

tridecimal (13) 2922c5

tetradecimal (14) 1c2120

pentadecimal (15) 14c988

As an angle

1,004,528° = 2,790 × 360° + 128°

128° ≈ 2.234 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬四千五百二十八
Chinese (financial): 壹佰萬肆仟伍佰貳拾捌

In other modern scripts

Eastern Arabic ١٠٠٤٥٢٨ Devanagari १००४५२८ Bengali ১০০৪৫২৮ Tamil ௧௦௦௪௫௨௮ Thai ๑๐๐๔๕๒๘ Tibetan ༡༠༠༤༥༢༨ Khmer ១០០៤៥២៨ Lao ໑໐໐໔໕໒໘ Burmese ၁၀၀၄၅၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004528, here are decompositions:

67 + 1004461 = 1004528
79 + 1004449 = 1004528
127 + 1004401 = 1004528
157 + 1004371 = 1004528
211 + 1004317 = 1004528
241 + 1004287 = 1004528
307 + 1004221 = 1004528
367 + 1004161 = 1004528

Showing the first eight; more decompositions exist.

Hex color

#0F53F0

RGB(15, 83, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.83.240.

Address: 0.15.83.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.83.240

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 1,004,528 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 US1,004,528 on Google Patents ↗ Look up on USPTO ↗