Live analysis

1,005,520

1,005,520 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.).

1,005,520 (one million five thousand five hundred twenty) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 12,569. Its proper divisors sum to 1,332,500, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF57D0.

Abundant Number Arithmetic Number Evil Number Gapful Number Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,005,508 1,005,509 1,005,510 1,005,511 1,005,512 1,005,513 1,005,514 1,005,515 1,005,516 1,005,517 1,005,518 1,005,519 1,005,520 1,005,521 1,005,522 1,005,523 1,005,524 1,005,525 1,005,526 1,005,527 1,005,528 1,005,529 1,005,530 1,005,531 1,005,532

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 255,001
Square (n²): 1,011,070,470,400
Cube (n³): 1,016,651,579,396,608,000
Divisor count: 20
σ(n) — sum of divisors: 2,338,020
φ(n) — Euler's totient: 402,176
Sum of prime factors: 12,582

Primality

Prime factorization: 2 ⁴ × 5 × 12569

Nearest primes: 1,005,503 (−17) · 1,005,527 (+7)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 12569 · 25138 · 50276 · 62845 · 100552 · 125690 · 201104 · 251380 · 502760 (half) · 1005520

Aliquot sum (sum of proper divisors): 1,332,500

Factor pairs (a × b = 1,005,520)

1 × 1005520

2 × 502760

4 × 251380

5 × 201104

8 × 125690

10 × 100552

16 × 62845

20 × 50276

40 × 25138

80 × 12569

First multiples

1,005,520 · 2,011,040 (double) · 3,016,560 · 4,022,080 · 5,027,600 · 6,033,120 · 7,038,640 · 8,044,160 · 9,049,680 · 10,055,200

Sums & aliquot sequence

As a sum of two squares: 408² + 916² = 488² + 876²

As consecutive integers: 201,102 + 201,103 + 201,104 + 201,105 + 201,106 31,407 + 31,408 + … + 31,438 6,205 + 6,206 + … + 6,364

Aliquot sequence: 1,005,520 → 1,332,500 → 1,882,096 → 1,813,104 → 3,438,296 → 3,069,304 → 3,796,616 → 3,342,724 → 3,951,164 → 4,523,596 → 5,878,964 → 7,216,972 → 7,436,212 → 7,436,268 → 14,997,780 → 36,998,892 → 72,524,340 — unresolved within range

Continued fraction of √n

√1,005,520 = [1002; (1, 3, 9, 1, 4, 1, 4, 3, 2, 1, 6, 2, 24, 1, 11, 1, 1, 1, 7, 4, 1, 5, 125, 5, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words: one million five thousand five hundred twenty
Ordinal: 1005520th
Binary: 11110101011111010000
Octal: 3653720
Hexadecimal: 0xF57D0
Base64: D1fQ
One's complement: 4,293,961,775 (32-bit)
Scientific notation: 1.00552 × 10⁶
As a duration: 1,005,520 s = 11 days, 15 hours, 18 minutes, 40 seconds

In other bases

ternary (3) 1220002022111

quaternary (4) 3311133100

quinary (5) 224134040

senary (6) 33315104

septenary (7) 11355355

nonary (9) 1802274

undecimal (11) 62750a

duodecimal (12) 405a94

tridecimal (13) 2928a9

tetradecimal (14) 1c262c

pentadecimal (15) 14cdea

As an angle

1,005,520° = 2,793 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百萬五千五百二十
Chinese (financial): 壹佰萬伍仟伍佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٥٥٢٠ Devanagari १००५५२० Bengali ১০০৫৫২০ Tamil ௧௦௦௫௫௨௦ Thai ๑๐๐๕๕๒๐ Tibetan ༡༠༠༥༥༢༠ Khmer ១០០៥៥២០ Lao ໑໐໐໕໕໒໐ Burmese ၁၀၀၅၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1005520, here are decompositions:

17 + 1005503 = 1005520
53 + 1005467 = 1005520
83 + 1005437 = 1005520
107 + 1005413 = 1005520
149 + 1005371 = 1005520
227 + 1005293 = 1005520
233 + 1005287 = 1005520
251 + 1005269 = 1005520

Showing the first eight; more decompositions exist.

Hex color

#0F57D0

RGB(15, 87, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.87.208.

Address: 0.15.87.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.87.208

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 1,005,520 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 US1,005,520 on Google Patents ↗ Look up on USPTO ↗