Live analysis

1,002,816

1,002,816 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.).

1,002,816 (one million two thousand eight hundred sixteen) is an even 7-digit number. It is a composite number with 42 divisors, and factors as 2⁶ × 3² × 1,741. Its proper divisors sum to 1,873,226, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4D40.

Abundant Number Gapful Number Harshad / Niven Odious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,002,804 1,002,805 1,002,806 1,002,807 1,002,808 1,002,809 1,002,810 1,002,811 1,002,812 1,002,813 1,002,814 1,002,815 1,002,816 1,002,817 1,002,818 1,002,819 1,002,820 1,002,821 1,002,822 1,002,823 1,002,824 1,002,825 1,002,826 1,002,827 1,002,828

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 6,182,001
Square (n²): 1,005,639,929,856
Cube (n³): 1,008,471,811,898,474,496
Divisor count: 42
σ(n) — sum of divisors: 2,876,042
φ(n) — Euler's totient: 334,080
Sum of prime factors: 1,759

Primality

Prime factorization: 2 ⁶ × 3 ² × 1741

Nearest primes: 1,002,809 (−7) · 1,002,817 (+1)

Divisors & multiples

All divisors (42)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 32 · 36 · 48 · 64 · 72 · 96 · 144 · 192 · 288 · 576 · 1741 · 3482 · 5223 · 6964 · 10446 · 13928 · 15669 · 20892 · 27856 · 31338 · 41784 · 55712 · 62676 · 83568 · 111424 · 125352 · 167136 · 250704 · 334272 · 501408 (half) · 1002816

Aliquot sum (sum of proper divisors): 1,873,226

Factor pairs (a × b = 1,002,816)

1 × 1002816

2 × 501408

3 × 334272

4 × 250704

6 × 167136

8 × 125352

9 × 111424

12 × 83568

16 × 62676

18 × 55712

24 × 41784

32 × 31338

36 × 27856

48 × 20892

64 × 15669

72 × 13928

96 × 10446

144 × 6964

192 × 5223

288 × 3482

576 × 1741

First multiples

1,002,816 · 2,005,632 (double) · 3,008,448 · 4,011,264 · 5,014,080 · 6,016,896 · 7,019,712 · 8,022,528 · 9,025,344 · 10,028,160

Sums & aliquot sequence

As a sum of two squares: 696² + 720²

As consecutive integers: 334,271 + 334,272 + 334,273 111,420 + 111,421 + … + 111,428 7,771 + 7,772 + … + 7,898 2,420 + 2,421 + … + 2,803

Aliquot sequence: 1,002,816 → 1,873,226 → 1,033,594 → 523,334 → 405,466 → 202,736 → 190,096 → 181,625 → 45,199 → 11,249 → 1,615 → 545 → 115 → 29 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,002,816 = [1001; (2, 2, 5, 3, 3, 1, 2, 1, 2, 1, 2, 1, 41, 1, 7, 2, 2, 11, 2, 4, 6, 1, 4, 1, …)]

Representations

In words: one million two thousand eight hundred sixteen
Ordinal: 1002816th
Binary: 11110100110101000000
Octal: 3646500
Hexadecimal: 0xF4D40
Base64: D01A
One's complement: 4,293,964,479 (32-bit)
Scientific notation: 1.002816 × 10⁶
As a duration: 1,002,816 s = 11 days, 14 hours, 33 minutes, 36 seconds

In other bases

ternary (3) 1212221121100

quaternary (4) 3310311000

quinary (5) 224042231

senary (6) 33254400

septenary (7) 11344443

nonary (9) 1787540

undecimal (11) 625481

duodecimal (12) 404400

tridecimal (13) 2915a9

tetradecimal (14) 1c165a

pentadecimal (15) 14c1e6

As an angle

1,002,816° = 2,785 × 360° + 216°

216° ≈ 3.77 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬二千八百一十六
Chinese (financial): 壹佰萬貳仟捌佰壹拾陸

In other modern scripts

Eastern Arabic ١٠٠٢٨١٦ Devanagari १००२८१६ Bengali ১০০২৮১৬ Tamil ௧௦௦௨௮௧௬ Thai ๑๐๐๒๘๑๖ Tibetan ༡༠༠༢༨༡༦ Khmer ១០០២៨១៦ Lao ໑໐໐໒໘໑໖ Burmese ၁၀၀၂၈၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002816, here are decompositions:

7 + 1002809 = 1002816
19 + 1002797 = 1002816
29 + 1002787 = 1002816
43 + 1002773 = 1002816
47 + 1002769 = 1002816
97 + 1002719 = 1002816
103 + 1002713 = 1002816
107 + 1002709 = 1002816

Showing the first eight; more decompositions exist.

Hex color

#0F4D40

RGB(15, 77, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.77.64.

Address: 0.15.77.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.77.64

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 1,002,816 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 US1,002,816 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1002816 first appears in π at position 534,423 of the decimal expansion (the 534,423ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1002816 on Pi Search ↗