Live analysis

1,004,416

1,004,416 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.).

1,004,416 (one million four thousand four hundred sixteen) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 7 × 19 × 59. Its proper divisors sum to 1,443,584, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5380.

Abundant Number Arithmetic Number Gapful Number Happy Number Harshad / Niven Odious Number Practical Number Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,004,404 1,004,405 1,004,406 1,004,407 1,004,408 1,004,409 1,004,410 1,004,411 1,004,412 1,004,413 1,004,414 1,004,415 1,004,416 1,004,417 1,004,418 1,004,419 1,004,420 1,004,421 1,004,422 1,004,423 1,004,424 1,004,425 1,004,426 1,004,427 1,004,428

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 6,144,001
Square (n²): 1,008,851,501,056
Cube (n³): 1,013,306,589,284,663,296
Divisor count: 64
σ(n) — sum of divisors: 2,448,000
φ(n) — Euler's totient: 400,896
Sum of prime factors: 99

Primality

Prime factorization: 2 ⁷ × 7 × 19 × 59

Nearest primes: 1,004,401 (−15) · 1,004,429 (+13)

Divisors & multiples

All divisors (64)

1 · 2 · 4 · 7 · 8 · 14 · 16 · 19 · 28 · 32 · 38 · 56 · 59 · 64 · 76 · 112 · 118 · 128 · 133 · 152 · 224 · 236 · 266 · 304 · 413 · 448 · 472 · 532 · 608 · 826 · 896 · 944 · 1064 · 1121 · 1216 · 1652 · 1888 · 2128 · 2242 · 2432 · 3304 · 3776 · 4256 · 4484 · 6608 · 7552 · 7847 · 8512 · 8968 · 13216 · 15694 · 17024 · 17936 · 26432 · 31388 · 35872 · 52864 · 62776 · 71744 · 125552 · 143488 · 251104 · 502208 (half) · 1004416

Aliquot sum (sum of proper divisors): 1,443,584

Factor pairs (a × b = 1,004,416)

1 × 1004416

2 × 502208

4 × 251104

7 × 143488

8 × 125552

14 × 71744

16 × 62776

19 × 52864

28 × 35872

32 × 31388

38 × 26432

56 × 17936

59 × 17024

64 × 15694

76 × 13216

112 × 8968

118 × 8512

128 × 7847

133 × 7552

152 × 6608

224 × 4484

236 × 4256

266 × 3776

304 × 3304

413 × 2432

448 × 2242

472 × 2128

532 × 1888

608 × 1652

826 × 1216

896 × 1121

944 × 1064

First multiples

1,004,416 · 2,008,832 (double) · 3,013,248 · 4,017,664 · 5,022,080 · 6,026,496 · 7,030,912 · 8,035,328 · 9,039,744 · 10,044,160

Sums & aliquot sequence

As consecutive integers: 143,485 + 143,486 + … + 143,491 52,855 + 52,856 + … + 52,873 16,995 + 16,996 + … + 17,053 7,486 + 7,487 + … + 7,618

Aliquot sequence: 1,004,416 → 1,443,584 → 1,438,456 → 1,258,664 → 1,316,056 → 1,552,424 → 1,429,996 → 1,092,524 → 819,400 → 1,206,140 → 1,522,180 → 2,298,644 → 1,735,456 → 1,711,148 → 1,283,368 → 1,164,632 → 1,376,428 — unresolved within range

Continued fraction of √n

√1,004,416 = [1002; (4, 1, 6, 2, 1, 1, 1, 1, 15, 1, 1, 4, 2, 55, 4, 2, 1, 1, 2, 1, 1, 5, 1, 1, …)]

Representations

In words: one million four thousand four hundred sixteen
Ordinal: 1004416th
Binary: 11110101001110000000
Octal: 3651600
Hexadecimal: 0xF5380
Base64: D1OA
One's complement: 4,293,962,879 (32-bit)
Scientific notation: 1.004416 × 10⁶
As a duration: 1,004,416 s = 11 days, 15 hours, 16 seconds

In other bases

ternary (3) 1220000210121

quaternary (4) 3311032000

quinary (5) 224120131

senary (6) 33310024

septenary (7) 11352220

nonary (9) 1800717

undecimal (11) 6266a6

duodecimal (12) 405314

tridecimal (13) 29223a

tetradecimal (14) 1c2080

pentadecimal (15) 14c911

As an angle

1,004,416° = 2,790 × 360° + 16°

16° ≈ 0.279 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬四千四百一十六
Chinese (financial): 壹佰萬肆仟肆佰壹拾陸

In other modern scripts

Eastern Arabic ١٠٠٤٤١٦ Devanagari १००४४१६ Bengali ১০০৪৪১৬ Tamil ௧௦௦௪௪௧௬ Thai ๑๐๐๔๔๑๖ Tibetan ༡༠༠༤༤༡༦ Khmer ១០០៤៤១៦ Lao ໑໐໐໔໔໑໖ Burmese ၁၀၀၄၄၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004416, here are decompositions:

53 + 1004363 = 1004416
113 + 1004303 = 1004416
137 + 1004279 = 1004416
353 + 1004063 = 1004416
359 + 1004057 = 1004416
383 + 1004033 = 1004416
389 + 1004027 = 1004416
503 + 1003913 = 1004416

Showing the first eight; more decompositions exist.

Hex color

#0F5380

RGB(15, 83, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.83.128.

Address: 0.15.83.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.83.128

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 1,004,416 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 US1,004,416 on Google Patents ↗ Look up on USPTO ↗