Live analysis

1,042,416

1,042,416 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.).

1,042,416 (one million forty-two thousand four hundred sixteen) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3³ × 19 × 127. Its proper divisors sum to 2,131,984, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE7F0.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,042,404 1,042,405 1,042,406 1,042,407 1,042,408 1,042,409 1,042,410 1,042,411 1,042,412 1,042,413 1,042,414 1,042,415 1,042,416 1,042,417 1,042,418 1,042,419 1,042,420 1,042,421 1,042,422 1,042,423 1,042,424 1,042,425 1,042,426 1,042,427 1,042,428

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 6,142,401
Square (n²): 1,086,631,117,056
Cube (n³): 1,132,721,662,517,047,296
Divisor count: 80
σ(n) — sum of divisors: 3,174,400
φ(n) — Euler's totient: 326,592
Sum of prime factors: 163

Primality

Prime factorization: 2 ⁴ × 3 ³ × 19 × 127

Nearest primes: 1,042,399 (−17) · 1,042,427 (+11)

Divisors & multiples

All divisors (80)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 19 · 24 · 27 · 36 · 38 · 48 · 54 · 57 · 72 · 76 · 108 · 114 · 127 · 144 · 152 · 171 · 216 · 228 · 254 · 304 · 342 · 381 · 432 · 456 · 508 · 513 · 684 · 762 · 912 · 1016 · 1026 · 1143 · 1368 · 1524 · 2032 · 2052 · 2286 · 2413 · 2736 · 3048 · 3429 · 4104 · 4572 · 4826 · 6096 · 6858 · 7239 · 8208 · 9144 · 9652 · 13716 · 14478 · 18288 · 19304 · 21717 · 27432 · 28956 · 38608 · 43434 · 54864 · 57912 · 65151 · 86868 · 115824 · 130302 · 173736 · 260604 · 347472 · 521208 (half) · 1042416

Aliquot sum (sum of proper divisors): 2,131,984

Factor pairs (a × b = 1,042,416)

1 × 1042416

2 × 521208

3 × 347472

4 × 260604

6 × 173736

8 × 130302

9 × 115824

12 × 86868

16 × 65151

18 × 57912

19 × 54864

24 × 43434

27 × 38608

36 × 28956

38 × 27432

48 × 21717

54 × 19304

57 × 18288

72 × 14478

76 × 13716

108 × 9652

114 × 9144

127 × 8208

144 × 7239

152 × 6858

171 × 6096

216 × 4826

228 × 4572

254 × 4104

304 × 3429

342 × 3048

381 × 2736

432 × 2413

456 × 2286

508 × 2052

513 × 2032

684 × 1524

762 × 1368

912 × 1143

1016 × 1026

First multiples

1,042,416 · 2,084,832 (double) · 3,127,248 · 4,169,664 · 5,212,080 · 6,254,496 · 7,296,912 · 8,339,328 · 9,381,744 · 10,424,160

Sums & aliquot sequence

As consecutive integers: 347,471 + 347,472 + 347,473 115,820 + 115,821 + … + 115,828 54,855 + 54,856 + … + 54,873 38,595 + 38,596 + … + 38,621

Aliquot sequence: 1,042,416 → 2,131,984 → 2,024,000 → 3,681,856 → 3,624,454 → 1,812,230 → 1,915,930 → 1,617,614 → 868,114 → 549,638 → 279,562 → 143,834 → 71,920 → 106,640 → 155,248 → 156,240 → 462,768 — unresolved within range

Continued fraction of √n

√1,042,416 = [1020; (1, 80, 1, 2, 8, 3, 6, 1, 3, 1, 6, 3, 8, 2, 1, 80, 1, 2040)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words: one million forty-two thousand four hundred sixteen
Ordinal: 1042416th
Binary: 11111110011111110000
Octal: 3763760
Hexadecimal: 0xFE7F0
Base64: D+fw
One's complement: 4,293,924,879 (32-bit)
Scientific notation: 1.042416 × 10⁶
As a duration: 1,042,416 s = 12 days, 1 hour, 33 minutes, 36 seconds

In other bases

ternary (3) 1221221221000

quaternary (4) 3332133300

quinary (5) 231324131

senary (6) 34202000

septenary (7) 11601054

nonary (9) 1857830

undecimal (11) 652201

duodecimal (12) 423300

tridecimal (13) 2a661b

tetradecimal (14) 1d1c64

pentadecimal (15) 158ce6

As an angle

1,042,416° = 2,895 × 360° + 216°

216° ≈ 3.77 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零四萬二千四百一十六
Chinese (financial): 壹佰零肆萬貳仟肆佰壹拾陸

In other modern scripts

Eastern Arabic ١٠٤٢٤١٦ Devanagari १०४२४१६ Bengali ১০৪২৪১৬ Tamil ௧௦௪௨௪௧௬ Thai ๑๐๔๒๔๑๖ Tibetan ༡༠༤༢༤༡༦ Khmer ១០៤២៤១៦ Lao ໑໐໔໒໔໑໖ Burmese ၁၀၄၂၄၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1042416, here are decompositions:

17 + 1042399 = 1042416
43 + 1042373 = 1042416
47 + 1042369 = 1042416
59 + 1042357 = 1042416
83 + 1042333 = 1042416
107 + 1042309 = 1042416
149 + 1042267 = 1042416
157 + 1042259 = 1042416

Showing the first eight; more decompositions exist.

Hex color

#0FE7F0

RGB(15, 231, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.231.240.

Address: 0.15.231.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.231.240

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 4, 2416 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

2416-04-01 (DMMYYYY (Euro, single-digit day))
2416-10-04 (MMDYYYY (US, single-digit day))
2416-04-10 (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 1,042,416 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 US1,042,416 on Google Patents ↗ Look up on USPTO ↗