Live analysis

1,002,840

1,002,840 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.).

1,002,840 (one million two thousand eight hundred forty) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 61 × 137. Its proper divisors sum to 2,077,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4D58.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,002,828 1,002,829 1,002,830 1,002,831 1,002,832 1,002,833 1,002,834 1,002,835 1,002,836 1,002,837 1,002,838 1,002,839 1,002,840 1,002,841 1,002,842 1,002,843 1,002,844 1,002,845 1,002,846 1,002,847 1,002,848 1,002,849 1,002,850 1,002,851 1,002,852

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 482,001
Square (n²): 1,005,688,065,600
Cube (n³): 1,008,544,219,706,304,000
Divisor count: 64
σ(n) — sum of divisors: 3,080,160
φ(n) — Euler's totient: 261,120
Sum of prime factors: 212

Primality

Prime factorization: 2 ³ × 3 × 5 × 61 × 137

Nearest primes: 1,002,821 (−19) · 1,002,851 (+11)

Divisors & multiples

All divisors (64)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 61 · 120 · 122 · 137 · 183 · 244 · 274 · 305 · 366 · 411 · 488 · 548 · 610 · 685 · 732 · 822 · 915 · 1096 · 1220 · 1370 · 1464 · 1644 · 1830 · 2055 · 2440 · 2740 · 3288 · 3660 · 4110 · 5480 · 7320 · 8220 · 8357 · 16440 · 16714 · 25071 · 33428 · 41785 · 50142 · 66856 · 83570 · 100284 · 125355 · 167140 · 200568 · 250710 · 334280 · 501420 (half) · 1002840

Aliquot sum (sum of proper divisors): 2,077,320

Factor pairs (a × b = 1,002,840)

1 × 1002840

2 × 501420

3 × 334280

4 × 250710

5 × 200568

6 × 167140

8 × 125355

10 × 100284

12 × 83570

15 × 66856

20 × 50142

24 × 41785

30 × 33428

40 × 25071

60 × 16714

61 × 16440

120 × 8357

122 × 8220

137 × 7320

183 × 5480

244 × 4110

274 × 3660

305 × 3288

366 × 2740

411 × 2440

488 × 2055

548 × 1830

610 × 1644

685 × 1464

732 × 1370

822 × 1220

915 × 1096

First multiples

1,002,840 · 2,005,680 (double) · 3,008,520 · 4,011,360 · 5,014,200 · 6,017,040 · 7,019,880 · 8,022,720 · 9,025,560 · 10,028,400

Sums & aliquot sequence

As consecutive integers: 334,279 + 334,280 + 334,281 200,566 + 200,567 + 200,568 + 200,569 + 200,570 66,849 + 66,850 + … + 66,863 62,670 + 62,671 + … + 62,685

Aliquot sequence: 1,002,840 → 2,077,320 → 5,047,800 → 11,022,600 → 23,149,320 → 46,618,680 → 93,237,720 → 187,117,320 → 466,066,680 → 1,000,210,440 → 2,000,421,240 → 4,000,842,840 → 8,001,686,040 → 16,003,372,440 — keeps growing

Continued fraction of √n

√1,002,840 = [1001; (2, 2, 1, 1, 2, 2, 2, 25, 1, 15, 1, 1, 2, 3, 1, 2, 3, 5, 3, 1, 132, 1, 3, 5, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words: one million two thousand eight hundred forty
Ordinal: 1002840th
Binary: 11110100110101011000
Octal: 3646530
Hexadecimal: 0xF4D58
Base64: D01Y
One's complement: 4,293,964,455 (32-bit)
Scientific notation: 1.00284 × 10⁶
As a duration: 1,002,840 s = 11 days, 14 hours, 34 minutes

In other bases

ternary (3) 1212221122020

quaternary (4) 3310311120

quinary (5) 224042330

senary (6) 33254440

septenary (7) 11344506

nonary (9) 1787566

undecimal (11) 6254a3

duodecimal (12) 404420

tridecimal (13) 2915c7

tetradecimal (14) 1c1676

pentadecimal (15) 14c210

As an angle

1,002,840° = 2,785 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬二千八百四十
Chinese (financial): 壹佰萬貳仟捌佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٢٨٤٠ Devanagari १००२८४० Bengali ১০০২৮৪০ Tamil ௧௦௦௨௮௪௦ Thai ๑๐๐๒๘๔๐ Tibetan ༡༠༠༢༨༤༠ Khmer ១០០២៨៤០ Lao ໑໐໐໒໘໔໐ Burmese ၁၀၀၂၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002840, here are decompositions:

19 + 1002821 = 1002840
23 + 1002817 = 1002840
31 + 1002809 = 1002840
43 + 1002797 = 1002840
53 + 1002787 = 1002840
67 + 1002773 = 1002840
71 + 1002769 = 1002840
73 + 1002767 = 1002840

Showing the first eight; more decompositions exist.

Hex color

#0F4D58

RGB(15, 77, 88)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.77.88.

Address: 0.15.77.88
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.77.88

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 1,002,840 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 US1,002,840 on Google Patents ↗ Look up on USPTO ↗