Live analysis

1,010,412

1,010,412 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.).

1,010,412 (one million ten thousand four hundred twelve) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 13 × 17 × 127. Its proper divisors sum to 1,924,884, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6AEC.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,010,400 1,010,401 1,010,402 1,010,403 1,010,404 1,010,405 1,010,406 1,010,407 1,010,408 1,010,409 1,010,410 1,010,411 1,010,412 1,010,413 1,010,414 1,010,415 1,010,416 1,010,417 1,010,418 1,010,419 1,010,420 1,010,421 1,010,422 1,010,423 1,010,424

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 2,140,101
Square (n²): 1,020,932,409,744
Cube (n³): 1,031,562,357,994,254,528
Divisor count: 72
σ(n) — sum of divisors: 2,935,296
φ(n) — Euler's totient: 290,304
Sum of prime factors: 167

Primality

Prime factorization: 2 ² × 3 ² × 13 × 17 × 127

Nearest primes: 1,010,411 (−1) · 1,010,419 (+7)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 13 · 17 · 18 · 26 · 34 · 36 · 39 · 51 · 52 · 68 · 78 · 102 · 117 · 127 · 153 · 156 · 204 · 221 · 234 · 254 · 306 · 381 · 442 · 468 · 508 · 612 · 663 · 762 · 884 · 1143 · 1326 · 1524 · 1651 · 1989 · 2159 · 2286 · 2652 · 3302 · 3978 · 4318 · 4572 · 4953 · 6477 · 6604 · 7956 · 8636 · 9906 · 12954 · 14859 · 19431 · 19812 · 25908 · 28067 · 29718 · 38862 · 56134 · 59436 · 77724 · 84201 · 112268 · 168402 · 252603 · 336804 · 505206 (half) · 1010412

Aliquot sum (sum of proper divisors): 1,924,884

Factor pairs (a × b = 1,010,412)

1 × 1010412

2 × 505206

3 × 336804

4 × 252603

6 × 168402

9 × 112268

12 × 84201

13 × 77724

17 × 59436

18 × 56134

26 × 38862

34 × 29718

36 × 28067

39 × 25908

51 × 19812

52 × 19431

68 × 14859

78 × 12954

102 × 9906

117 × 8636

127 × 7956

153 × 6604

156 × 6477

204 × 4953

221 × 4572

234 × 4318

254 × 3978

306 × 3302

381 × 2652

442 × 2286

468 × 2159

508 × 1989

612 × 1651

663 × 1524

762 × 1326

884 × 1143

First multiples

1,010,412 · 2,020,824 (double) · 3,031,236 · 4,041,648 · 5,052,060 · 6,062,472 · 7,072,884 · 8,083,296 · 9,093,708 · 10,104,120

Sums & aliquot sequence

As consecutive integers: 336,803 + 336,804 + 336,805 126,298 + 126,299 + … + 126,305 112,264 + 112,265 + … + 112,272 77,718 + 77,719 + … + 77,730

Aliquot sequence: 1,010,412 → 1,924,884 → 3,506,080 → 5,271,080 → 6,588,940 → 7,315,412 → 6,471,424 → 7,215,200 → 11,064,880 → 14,661,152 → 16,827,760 → 22,296,968 → 19,509,862 → 9,775,130 → 7,820,122 → 4,288,550 → 4,828,426 — unresolved within range

Continued fraction of √n

√1,010,412 = [1005; (5, 5, 6, 1, 4, 2, 1, 222, 1, 2, 4, 1, 6, 5, 5, 2010)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one million ten thousand four hundred twelve
Ordinal: 1010412th
Binary: 11110110101011101100
Octal: 3665354
Hexadecimal: 0xF6AEC
Base64: D2rs
One's complement: 4,293,956,883 (32-bit)
Scientific notation: 1.010412 × 10⁶
As a duration: 1,010,412 s = 11 days, 16 hours, 40 minutes, 12 seconds

In other bases

ternary (3) 1220100000200

quaternary (4) 3312223230

quinary (5) 224313122

senary (6) 33353500

septenary (7) 11405544

nonary (9) 1810020

undecimal (11) 630157

duodecimal (12) 408890

tridecimal (13) 294ba0

tetradecimal (14) 1c4324

pentadecimal (15) 14e5ac

As an angle

1,010,412° = 2,806 × 360° + 252°

252° ≈ 4.398 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Chinese: 一百零一萬零四百一十二
Chinese (financial): 壹佰零壹萬零肆佰壹拾貳

In other modern scripts

Eastern Arabic ١٠١٠٤١٢ Devanagari १०१०४१२ Bengali ১০১০৪১২ Tamil ௧௦௧௦௪௧௨ Thai ๑๐๑๐๔๑๒ Tibetan ༡༠༡༠༤༡༢ Khmer ១០១០៤១២ Lao ໑໐໑໐໔໑໒ Burmese ၁၀၁၀၄၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010412, here are decompositions:

5 + 1010407 = 1010412
31 + 1010381 = 1010412
59 + 1010353 = 1010412
83 + 1010329 = 1010412
149 + 1010263 = 1010412
211 + 1010201 = 1010412
233 + 1010179 = 1010412
269 + 1010143 = 1010412

Showing the first eight; more decompositions exist.

Hex color

#0F6AEC

RGB(15, 106, 236)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.106.236.

Address: 0.15.106.236
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.106.236

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 0412 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

0412-10-01 (MMDYYYY (US, single-digit day))
0412-01-10 (DDMYYYY (Euro, single-digit month))

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 1,010,412 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 US1,010,412 on Google Patents ↗ Look up on USPTO ↗