Live analysis

1,002,468

1,002,468 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.).

1,002,468 (one million two thousand four hundred sixty-eight) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 139 × 601. Its proper divisors sum to 1,357,372, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4BE4.

Abundant Number Cube-Free Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,002,456 1,002,457 1,002,458 1,002,459 1,002,460 1,002,461 1,002,462 1,002,463 1,002,464 1,002,465 1,002,466 1,002,467 1,002,468 1,002,469 1,002,470 1,002,471 1,002,472 1,002,473 1,002,474 1,002,475 1,002,476 1,002,477 1,002,478 1,002,479 1,002,480

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 8,642,001
Square (n²): 1,004,942,091,024
Cube (n³): 1,007,422,288,104,647,232
Divisor count: 24
σ(n) — sum of divisors: 2,359,840
φ(n) — Euler's totient: 331,200
Sum of prime factors: 747

Primality

Prime factorization: 2 ² × 3 × 139 × 601

Nearest primes: 1,002,467 (−1) · 1,002,481 (+13)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 139 · 278 · 417 · 556 · 601 · 834 · 1202 · 1668 · 1803 · 2404 · 3606 · 7212 · 83539 · 167078 · 250617 · 334156 · 501234 (half) · 1002468

Aliquot sum (sum of proper divisors): 1,357,372

Factor pairs (a × b = 1,002,468)

1 × 1002468

2 × 501234

3 × 334156

4 × 250617

6 × 167078

12 × 83539

139 × 7212

278 × 3606

417 × 2404

556 × 1803

601 × 1668

834 × 1202

First multiples

1,002,468 · 2,004,936 (double) · 3,007,404 · 4,009,872 · 5,012,340 · 6,014,808 · 7,017,276 · 8,019,744 · 9,022,212 · 10,024,680

Sums & aliquot sequence

As consecutive integers: 334,155 + 334,156 + 334,157 125,305 + 125,306 + … + 125,312 41,758 + 41,759 + … + 41,781 7,143 + 7,144 + … + 7,281

Aliquot sequence: 1,002,468 → 1,357,372 → 1,057,404 → 1,409,900 → 1,787,812 → 1,581,624 → 3,093,696 → 6,059,448 → 10,991,352 → 17,008,728 → 29,738,112 → 51,135,648 → 83,095,680 → 184,813,440 → 488,484,480 → 1,234,417,920 → 2,747,555,712 — unresolved within range

Continued fraction of √n

√1,002,468 = [1001; (4, 3, 2, 11, 2, 2, 2, 5, 1, 53, 3, 1, 1, 1, 1, 1, 1, 20, 4, 7, 1, 1, 2, 1, …)]

Representations

In words: one million two thousand four hundred sixty-eight
Ordinal: 1002468th
Binary: 11110100101111100100
Octal: 3645744
Hexadecimal: 0xF4BE4
Base64: D0vk
One's complement: 4,293,964,827 (32-bit)
Scientific notation: 1.002468 × 10⁶
As a duration: 1,002,468 s = 11 days, 14 hours, 27 minutes, 48 seconds

In other bases

ternary (3) 1212221010110

quaternary (4) 3310233210

quinary (5) 224034333

senary (6) 33253020

septenary (7) 11343435

nonary (9) 1787113

undecimal (11) 625195

duodecimal (12) 404170

tridecimal (13) 29139c

tetradecimal (14) 1c148c

pentadecimal (15) 14c063

As an angle

1,002,468° = 2,784 × 360° + 228°

228° ≈ 3.979 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬二千四百六十八
Chinese (financial): 壹佰萬貳仟肆佰陸拾捌

In other modern scripts

Eastern Arabic ١٠٠٢٤٦٨ Devanagari १००२४६८ Bengali ১০০২৪৬৮ Tamil ௧௦௦௨௪௬௮ Thai ๑๐๐๒๔๖๘ Tibetan ༡༠༠༢༤༦༨ Khmer ១០០២៤៦៨ Lao ໑໐໐໒໔໖໘ Burmese ၁၀၀၂၄၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002468, here are decompositions:

11 + 1002457 = 1002468
17 + 1002451 = 1002468
41 + 1002427 = 1002468
107 + 1002361 = 1002468
109 + 1002359 = 1002468
127 + 1002341 = 1002468
179 + 1002289 = 1002468
211 + 1002257 = 1002468

Showing the first eight; more decompositions exist.

Hex color

#0F4BE4

RGB(15, 75, 228)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.75.228.

Address: 0.15.75.228
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.75.228

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 1,002,468 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 US1,002,468 on Google Patents ↗ Look up on USPTO ↗