Live analysis

1,049,376

1,049,376 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.).

1,049,376 (one million forty-nine thousand three hundred seventy-six) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 17 × 643. Its proper divisors sum to 1,871,808, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100320.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,049,364 1,049,365 1,049,366 1,049,367 1,049,368 1,049,369 1,049,370 1,049,371 1,049,372 1,049,373 1,049,374 1,049,375 1,049,376 1,049,377 1,049,378 1,049,379 1,049,380 1,049,381 1,049,382 1,049,383 1,049,384 1,049,385 1,049,386 1,049,387 1,049,388

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 30
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 21 bits
Reversed: 6,739,401
Square (n²): 1,101,189,989,376
Cube (n³): 1,155,562,346,291,429,376
Divisor count: 48
σ(n) — sum of divisors: 2,921,184
φ(n) — Euler's totient: 328,704
Sum of prime factors: 673

Primality

Prime factorization: 2 ⁵ × 3 × 17 × 643

Nearest primes: 1,049,339 (−37) · 1,049,387 (+11)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 17 · 24 · 32 · 34 · 48 · 51 · 68 · 96 · 102 · 136 · 204 · 272 · 408 · 544 · 643 · 816 · 1286 · 1632 · 1929 · 2572 · 3858 · 5144 · 7716 · 10288 · 10931 · 15432 · 20576 · 21862 · 30864 · 32793 · 43724 · 61728 · 65586 · 87448 · 131172 · 174896 · 262344 · 349792 · 524688 (half) · 1049376

Aliquot sum (sum of proper divisors): 1,871,808

Factor pairs (a × b = 1,049,376)

1 × 1049376

2 × 524688

3 × 349792

4 × 262344

6 × 174896

8 × 131172

12 × 87448

16 × 65586

17 × 61728

24 × 43724

32 × 32793

34 × 30864

48 × 21862

51 × 20576

68 × 15432

96 × 10931

102 × 10288

136 × 7716

204 × 5144

272 × 3858

408 × 2572

544 × 1929

643 × 1632

816 × 1286

First multiples

1,049,376 · 2,098,752 (double) · 3,148,128 · 4,197,504 · 5,246,880 · 6,296,256 · 7,345,632 · 8,395,008 · 9,444,384 · 10,493,760

Sums & aliquot sequence

As consecutive integers: 349,791 + 349,792 + 349,793 61,720 + 61,721 + … + 61,736 20,551 + 20,552 + … + 20,601 16,365 + 16,366 + … + 16,428

Aliquot sequence: 1,049,376 → 1,871,808 → 3,081,192 → 5,342,808 → 8,596,392 → 15,965,208 → 34,722,792 → 66,554,748 → 114,623,340 → 231,012,468 → 352,935,806 → 194,832,514 → 103,189,886 → 56,588,098 → 40,519,166 → 20,521,138 → 13,058,942 — unresolved within range

Continued fraction of √n

√1,049,376 = [1024; (2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 1, 3, 7, 1, 1, 16, 2, 1, 1, 511, 1, 1, 2, 16, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: one million forty-nine thousand three hundred seventy-six
Ordinal: 1049376th
Binary: 100000000001100100000
Octal: 4001440
Hexadecimal: 0x100320
Base64: EAMg
One's complement: 4,293,917,919 (32-bit)
Scientific notation: 1.049376 × 10⁶
As a duration: 1,049,376 s = 12 days, 3 hours, 29 minutes, 36 seconds

In other bases

ternary (3) 1222022110210

quaternary (4) 10000030200

quinary (5) 232040001

senary (6) 34254120

septenary (7) 11630256

nonary (9) 1868423

undecimal (11) 657459

duodecimal (12) 427340

tridecimal (13) 2a9843

tetradecimal (14) 1d45d6

pentadecimal (15) 15add6

As an angle

1,049,376° = 2,914 × 360° + 336°

336° ≈ 5.864 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零四萬九千三百七十六
Chinese (financial): 壹佰零肆萬玖仟參佰柒拾陸

In other modern scripts

Eastern Arabic ١٠٤٩٣٧٦ Devanagari १०४९३७६ Bengali ১০৪৯৩৭৬ Tamil ௧௦௪௯௩௭௬ Thai ๑๐๔๙๓๗๖ Tibetan ༡༠༤༩༣༧༦ Khmer ១០៤៩៣៧៦ Lao ໑໐໔໙໓໗໖ Burmese ၁၀၄၉၃၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1049376, here are decompositions:

37 + 1049339 = 1049376
43 + 1049333 = 1049376
79 + 1049297 = 1049376
113 + 1049263 = 1049376
137 + 1049239 = 1049376
149 + 1049227 = 1049376
157 + 1049219 = 1049376
193 + 1049183 = 1049376

Showing the first eight; more decompositions exist.

Hex color

#100320

RGB(16, 3, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.3.32.

Address: 0.16.3.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.3.32

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 4, 9376 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

9376-04-01 (DMMYYYY (Euro, single-digit day))
9376-10-04 (MMDYYYY (US, single-digit day))
9376-04-10 (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 1,049,376 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,049,376 on Google Patents ↗ Look up on USPTO ↗