Live analysis

1,004,520

1,004,520 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.).

1,004,520 (one million four thousand five hundred twenty) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 11 × 761. Its proper divisors sum to 2,287,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF53E8.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,004,508 1,004,509 1,004,510 1,004,511 1,004,512 1,004,513 1,004,514 1,004,515 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 254,001
Square (n²): 1,009,060,430,400
Cube (n³): 1,013,621,383,545,408,000
Divisor count: 64
σ(n) — sum of divisors: 3,291,840
φ(n) — Euler's totient: 243,200
Sum of prime factors: 786

Primality

Prime factorization: 2 ³ × 3 × 5 × 11 × 761

Nearest primes: 1,004,501 (−19) · 1,004,527 (+7)

Divisors & multiples

All divisors (64)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 11 · 12 · 15 · 20 · 22 · 24 · 30 · 33 · 40 · 44 · 55 · 60 · 66 · 88 · 110 · 120 · 132 · 165 · 220 · 264 · 330 · 440 · 660 · 761 · 1320 · 1522 · 2283 · 3044 · 3805 · 4566 · 6088 · 7610 · 8371 · 9132 · 11415 · 15220 · 16742 · 18264 · 22830 · 25113 · 30440 · 33484 · 41855 · 45660 · 50226 · 66968 · 83710 · 91320 · 100452 · 125565 · 167420 · 200904 · 251130 · 334840 · 502260 (half) · 1004520

Aliquot sum (sum of proper divisors): 2,287,320

Factor pairs (a × b = 1,004,520)

1 × 1004520

2 × 502260

3 × 334840

4 × 251130

5 × 200904

6 × 167420

8 × 125565

10 × 100452

11 × 91320

12 × 83710

15 × 66968

20 × 50226

22 × 45660

24 × 41855

30 × 33484

33 × 30440

40 × 25113

44 × 22830

55 × 18264

60 × 16742

66 × 15220

88 × 11415

110 × 9132

120 × 8371

132 × 7610

165 × 6088

220 × 4566

264 × 3805

330 × 3044

440 × 2283

660 × 1522

761 × 1320

First multiples

1,004,520 · 2,009,040 (double) · 3,013,560 · 4,018,080 · 5,022,600 · 6,027,120 · 7,031,640 · 8,036,160 · 9,040,680 · 10,045,200

Sums & aliquot sequence

As consecutive integers: 334,839 + 334,840 + 334,841 200,902 + 200,903 + 200,904 + 200,905 + 200,906 91,315 + 91,316 + … + 91,325 66,961 + 66,962 + … + 66,975

Aliquot sequence: 1,004,520 → 2,287,320 → 5,715,480 → 11,431,320 → 22,863,000 → 48,478,920 → 117,737,400 → 280,451,400 → 649,995,000 → 1,500,879,000 → 3,457,487,400 → 7,371,402,840 → 17,218,829,160 — keeps growing

Continued fraction of √n

√1,004,520 = [1002; (3, 1, 7, 1, 1, 1, 3, 11, 1, 1, 2, 2, 1, 3, 11, 1, 20, 5, 1, 1, 50, 1, 5, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words: one million four thousand five hundred twenty
Ordinal: 1004520th
Binary: 11110101001111101000
Octal: 3651750
Hexadecimal: 0xF53E8
Base64: D1Po
One's complement: 4,293,962,775 (32-bit)
Scientific notation: 1.00452 × 10⁶
As a duration: 1,004,520 s = 11 days, 15 hours, 2 minutes

In other bases

ternary (3) 1220000221110

quaternary (4) 3311033220

quinary (5) 224121040

senary (6) 33310320

septenary (7) 11352426

nonary (9) 1800843

undecimal (11) 626790

duodecimal (12) 4053a0

tridecimal (13) 2922ba

tetradecimal (14) 1c2116

pentadecimal (15) 14c980

As an angle

1,004,520° = 2,790 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

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

In other modern scripts

Eastern Arabic ١٠٠٤٥٢٠ Devanagari १००४५२० Bengali ১০০৪৫২০ Tamil ௧௦௦௪௫௨௦ Thai ๑๐๐๔๕๒๐ Tibetan ༡༠༠༤༥༢༠ Khmer ១០០៤៥២០ Lao ໑໐໐໔໕໒໐ Burmese ၁၀၀၄၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004520, here are decompositions:

19 + 1004501 = 1004520
37 + 1004483 = 1004520
43 + 1004477 = 1004520
59 + 1004461 = 1004520
67 + 1004453 = 1004520
71 + 1004449 = 1004520
79 + 1004441 = 1004520
149 + 1004371 = 1004520

Showing the first eight; more decompositions exist.

Hex color

#0F53E8

RGB(15, 83, 232)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.83.232.

Address: 0.15.83.232
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.83.232

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 1,004,520 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 US1,004,520 on Google Patents ↗ Look up on USPTO ↗