Live analysis

1,001,428

1,001,428 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.).

1,001,428 (one million one thousand four hundred twenty-eight) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 29 × 89 × 97. Written other ways, in hexadecimal, 0xF47D4.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

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 1,001,429 1,001,430 1,001,431 1,001,432 1,001,433 1,001,434 1,001,435 1,001,436 1,001,437 1,001,438 1,001,439 1,001,440

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 8,241,001
Square (n²): 1,002,858,039,184
Cube (n³): 1,004,290,120,463,954,752
Divisor count: 24
σ(n) — sum of divisors: 1,852,200
φ(n) — Euler's totient: 473,088
Sum of prime factors: 219

Primality

Prime factorization: 2 ² × 29 × 89 × 97

Nearest primes: 1,001,411 (−17) · 1,001,431 (+3)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 29 · 58 · 89 · 97 · 116 · 178 · 194 · 356 · 388 · 2581 · 2813 · 5162 · 5626 · 8633 · 10324 · 11252 · 17266 · 34532 · 250357 · 500714 (half) · 1001428

Aliquot sum (sum of proper divisors): 850,772

Factor pairs (a × b = 1,001,428)

1 × 1001428

2 × 500714

4 × 250357

29 × 34532

58 × 17266

89 × 11252

97 × 10324

116 × 8633

178 × 5626

194 × 5162

356 × 2813

388 × 2581

First multiples

1,001,428 · 2,002,856 (double) · 3,004,284 · 4,005,712 · 5,007,140 · 6,008,568 · 7,009,996 · 8,011,424 · 9,012,852 · 10,014,280

Sums & aliquot sequence

As a sum of two squares: 212² + 978² = 238² + 972² = 498² + 868² = 562² + 828²

As consecutive integers: 125,175 + 125,176 + … + 125,182 34,518 + 34,519 + … + 34,546 11,208 + 11,209 + … + 11,296 10,276 + 10,277 + … + 10,372

Aliquot sequence: 1,001,428 → 850,772 → 752,704 → 822,096 → 1,767,024 → 3,887,872 → 3,873,196 → 2,904,904 → 2,580,596 → 1,935,454 → 1,281,866 → 640,936 → 573,164 → 429,880 → 626,360 → 985,000 → 1,334,570 — unresolved within range

Continued fraction of √n

√1,001,428 = [1000; (1, 2, 2, 37, 2, 1, 124, 2, 2, 1, 1, 1, 1, 3, 2, 11, 1, 124, 5, 1, 8, 1, 1, 1, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words: one million one thousand four hundred twenty-eight
Ordinal: 1001428th
Binary: 11110100011111010100
Octal: 3643724
Hexadecimal: 0xF47D4
Base64: D0fU
One's complement: 4,293,965,867 (32-bit)
Scientific notation: 1.001428 × 10⁶
As a duration: 1,001,428 s = 11 days, 14 hours, 10 minutes, 28 seconds

In other bases

ternary (3) 1212212200221

quaternary (4) 3310133110

quinary (5) 224021203

senary (6) 33244124

septenary (7) 11340421

nonary (9) 1785627

undecimal (11) 62442a

duodecimal (12) 403644

tridecimal (13) 290a7c

tetradecimal (14) 1c0d48

pentadecimal (15) 14babd

As an angle

1,001,428° = 2,781 × 360° + 268°

268° ≈ 4.677 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千四百二十八
Chinese (financial): 壹佰萬壹仟肆佰貳拾捌

In other modern scripts

Eastern Arabic ١٠٠١٤٢٨ Devanagari १००१४२८ Bengali ১০০১৪২৮ Tamil ௧௦௦௧௪௨௮ Thai ๑๐๐๑๔๒๘ Tibetan ༡༠༠༡༤༢༨ Khmer ១០០១៤២៨ Lao ໑໐໐໑໔໒໘ Burmese ၁၀၀၁၄၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001428, here are decompositions:

17 + 1001411 = 1001428
41 + 1001387 = 1001428
47 + 1001381 = 1001428
59 + 1001369 = 1001428
101 + 1001327 = 1001428
107 + 1001321 = 1001428
137 + 1001291 = 1001428
149 + 1001279 = 1001428

Showing the first eight; more decompositions exist.

Hex color

#0F47D4

RGB(15, 71, 212)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.212.

Address: 0.15.71.212
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.212

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 1,001,428 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 US1,001,428 on Google Patents ↗ Look up on USPTO ↗