Live analysis

1,001,416

1,001,416 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.).

1,001,416 (one million one thousand four hundred sixteen) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 13 × 9,629. Its proper divisors sum to 1,020,884, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF47C8.

Abundant Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,001,404 1,001,405 1,001,406 1,001,407 1,001,408 1,001,409 1,001,410 1,001,411 1,001,412 1,001,413 1,001,414 1,001,415 1,001,416 1,001,417 1,001,418 1,001,419 1,001,420 1,001,421 1,001,422 1,001,423 1,001,424 1,001,425 1,001,426 1,001,427 1,001,428

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 6,141,001
Square (n²): 1,002,834,005,056
Cube (n³): 1,004,254,018,007,159,296
Divisor count: 16
σ(n) — sum of divisors: 2,022,300
φ(n) — Euler's totient: 462,144
Sum of prime factors: 9,648

Primality

Prime factorization: 2 ³ × 13 × 9629

Nearest primes: 1,001,411 (−5) · 1,001,431 (+15)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 8 · 13 · 26 · 52 · 104 · 9629 · 19258 · 38516 · 77032 · 125177 · 250354 · 500708 (half) · 1001416

Aliquot sum (sum of proper divisors): 1,020,884

Factor pairs (a × b = 1,001,416)

1 × 1001416

2 × 500708

4 × 250354

8 × 125177

13 × 77032

26 × 38516

52 × 19258

104 × 9629

First multiples

1,001,416 · 2,002,832 (double) · 3,004,248 · 4,005,664 · 5,007,080 · 6,008,496 · 7,009,912 · 8,011,328 · 9,012,744 · 10,014,160

Sums & aliquot sequence

As a sum of two squares: 146² + 990² = 246² + 970²

As consecutive integers: 77,026 + 77,027 + … + 77,038 62,581 + 62,582 + … + 62,596 4,711 + 4,712 + … + 4,918

Aliquot sequence: 1,001,416 → 1,020,884 → 870,880 → 1,186,952 → 1,254,928 → 1,237,100 → 1,497,100 → 2,049,548 → 1,586,812 → 1,190,116 → 911,816 → 808,084 → 606,070 → 484,874 → 345,214 → 172,610 → 146,422 — unresolved within range

Continued fraction of √n

√1,001,416 = [1000; (1, 2, 2, 2, 1, 2, 3, 1, 3, 3, 1, 2, 13, 1, 1, 1, 2, 1, 3, 3, 6, 3, 2, 1, …)]

Representations

In words: one million one thousand four hundred sixteen
Ordinal: 1001416th
Binary: 11110100011111001000
Octal: 3643710
Hexadecimal: 0xF47C8
Base64: D0fI
One's complement: 4,293,965,879 (32-bit)
Scientific notation: 1.001416 × 10⁶
As a duration: 1,001,416 s = 11 days, 14 hours, 10 minutes, 16 seconds

In other bases

ternary (3) 1212212200111

quaternary (4) 3310133020

quinary (5) 224021131

senary (6) 33244104

septenary (7) 11340403

nonary (9) 1785614

undecimal (11) 624419

duodecimal (12) 403634

tridecimal (13) 290a70

tetradecimal (14) 1c0d3a

pentadecimal (15) 14bab1

As an angle

1,001,416° = 2,781 × 360° + 256°

256° ≈ 4.468 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千四百一十六
Chinese (financial): 壹佰萬壹仟肆佰壹拾陸

In other modern scripts

Eastern Arabic ١٠٠١٤١٦ Devanagari १००१४१६ Bengali ১০০১৪১৬ Tamil ௧௦௦௧௪௧௬ Thai ๑๐๐๑๔๑๖ Tibetan ༡༠༠༡༤༡༦ Khmer ១០០១៤១៦ Lao ໑໐໐໑໔໑໖ Burmese ၁၀၀၁၄၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001416, here are decompositions:

5 + 1001411 = 1001416
29 + 1001387 = 1001416
47 + 1001369 = 1001416
89 + 1001327 = 1001416
113 + 1001303 = 1001416
137 + 1001279 = 1001416
149 + 1001267 = 1001416
179 + 1001237 = 1001416

Showing the first eight; more decompositions exist.

Hex color

#0F47C8

RGB(15, 71, 200)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.200.

Address: 0.15.71.200
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.200

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 1,001,416 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 US1,001,416 on Google Patents ↗ Look up on USPTO ↗