Live analysis

1,002,450

1,002,450 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.).

1,002,450 (one million two thousand four hundred fifty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2 × 3 × 5² × 41 × 163. Its proper divisors sum to 1,559,886, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4BD2.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,002,438 1,002,439 1,002,440 1,002,441 1,002,442 1,002,443 1,002,444 1,002,445 1,002,446 1,002,447 1,002,448 1,002,449 1,002,450 1,002,451 1,002,452 1,002,453 1,002,454 1,002,455 1,002,456 1,002,457 1,002,458 1,002,459 1,002,460 1,002,461 1,002,462

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 542,001
Square (n²): 1,004,906,002,500
Cube (n³): 1,007,368,022,206,125,000
Divisor count: 48
σ(n) — sum of divisors: 2,562,336
φ(n) — Euler's totient: 259,200
Sum of prime factors: 219

Primality

Prime factorization: 2 × 3 × 5 ² × 41 × 163

Nearest primes: 1,002,433 (−17) · 1,002,451 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 5 · 6 · 10 · 15 · 25 · 30 · 41 · 50 · 75 · 82 · 123 · 150 · 163 · 205 · 246 · 326 · 410 · 489 · 615 · 815 · 978 · 1025 · 1230 · 1630 · 2050 · 2445 · 3075 · 4075 · 4890 · 6150 · 6683 · 8150 · 12225 · 13366 · 20049 · 24450 · 33415 · 40098 · 66830 · 100245 · 167075 · 200490 · 334150 · 501225 (half) · 1002450

Aliquot sum (sum of proper divisors): 1,559,886

Factor pairs (a × b = 1,002,450)

1 × 1002450

2 × 501225

3 × 334150

5 × 200490

6 × 167075

10 × 100245

15 × 66830

25 × 40098

30 × 33415

41 × 24450

50 × 20049

75 × 13366

82 × 12225

123 × 8150

150 × 6683

163 × 6150

205 × 4890

246 × 4075

326 × 3075

410 × 2445

489 × 2050

615 × 1630

815 × 1230

978 × 1025

First multiples

1,002,450 · 2,004,900 (double) · 3,007,350 · 4,009,800 · 5,012,250 · 6,014,700 · 7,017,150 · 8,019,600 · 9,022,050 · 10,024,500

Sums & aliquot sequence

As consecutive integers: 334,149 + 334,150 + 334,151 250,611 + 250,612 + 250,613 + 250,614 200,488 + 200,489 + 200,490 + 200,491 + 200,492 83,532 + 83,533 + … + 83,543

Aliquot sequence: 1,002,450 → 1,559,886 → 1,833,042 → 2,048,910 → 2,910,450 → 4,307,838 → 4,330,002 → 4,839,630 → 6,833,874 → 6,833,886 → 6,880,818 → 10,537,422 → 13,827,378 → 13,827,390 → 19,358,418 → 19,358,430 → 38,901,954 — unresolved within range

Continued fraction of √n

√1,002,450 = [1001; (4, 2, 5, 1, 1, 1, 3, 1, 5, 3, 3, 5, 1, 40, 40, 40, 1, 5, 3, 3, 5, 1, 3, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words: one million two thousand four hundred fifty
Ordinal: 1002450th
Binary: 11110100101111010010
Octal: 3645722
Hexadecimal: 0xF4BD2
Base64: D0vS
One's complement: 4,293,964,845 (32-bit)
Scientific notation: 1.00245 × 10⁶
As a duration: 1,002,450 s = 11 days, 14 hours, 27 minutes, 30 seconds

In other bases

ternary (3) 1212221002210

quaternary (4) 3310233102

quinary (5) 224034300

senary (6) 33252550

septenary (7) 11343411

nonary (9) 1787083

undecimal (11) 625179

duodecimal (12) 404156

tridecimal (13) 291387

tetradecimal (14) 1c1478

pentadecimal (15) 14c050

As an angle

1,002,450° = 2,784 × 360° + 210°

210° ≈ 3.665 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬二千四百五十
Chinese (financial): 壹佰萬貳仟肆佰伍拾

In other modern scripts

Eastern Arabic ١٠٠٢٤٥٠ Devanagari १००२४५० Bengali ১০০২৪৫০ Tamil ௧௦௦௨௪௫௦ Thai ๑๐๐๒๔๕๐ Tibetan ༡༠༠༢༤༥༠ Khmer ១០០២៤៥០ Lao ໑໐໐໒໔໕໐ Burmese ၁၀၀၂၄၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002450, here are decompositions:

17 + 1002433 = 1002450
23 + 1002427 = 1002450
47 + 1002403 = 1002450
73 + 1002377 = 1002450
89 + 1002361 = 1002450
101 + 1002349 = 1002450
103 + 1002347 = 1002450
107 + 1002343 = 1002450

Showing the first eight; more decompositions exist.

Hex color

#0F4BD2

RGB(15, 75, 210)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.75.210.

Address: 0.15.75.210
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.75.210

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 1,002,450 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 US1,002,450 on Google Patents ↗ Look up on USPTO ↗