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128,002

128,002 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.).

128,002 (one hundred twenty-eight thousand two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 7 × 41 × 223. Written other ways, in hexadecimal, 0x1F402.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
200,821
Square (n²)
16,384,512,004
Cube (n³)
2,097,250,305,536,008
Divisor count
16
σ(n) — sum of divisors
225,792
φ(n) — Euler's totient
53,280
Sum of prime factors
273

Primality

Prime factorization: 2 × 7 × 41 × 223

Nearest primes: 127,997 (−5) · 128,021 (+19)

Divisors & multiples

All divisors (16)
1 · 2 · 7 · 14 · 41 · 82 · 223 · 287 · 446 · 574 · 1561 · 3122 · 9143 · 18286 · 64001 (half) · 128002
Aliquot sum (sum of proper divisors): 97,790
Factor pairs (a × b = 128,002)
1 × 128002
2 × 64001
7 × 18286
14 × 9143
41 × 3122
82 × 1561
223 × 574
287 × 446
First multiples
128,002 · 256,004 (double) · 384,006 · 512,008 · 640,010 · 768,012 · 896,014 · 1,024,016 · 1,152,018 · 1,280,020

Sums & aliquot sequence

As consecutive integers: 31,999 + 32,000 + 32,001 + 32,002 18,283 + 18,284 + … + 18,289 4,558 + 4,559 + … + 4,585 3,102 + 3,103 + … + 3,142
Aliquot sequence: 128,002 97,790 123,394 63,806 33,658 16,832 16,696 14,624 14,230 11,402 5,704 5,816 5,104 6,056 5,314 2,660 4,060 — unresolved within range

Continued fraction of √n

√128,002 = [357; (1, 3, 2, 2, 1, 1, 3, 1, 1, 8, 1, 1, 1, 1, 2, 1, 1, 1, 1, 8, 1, 1, 3, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-eight thousand two
Ordinal
128002nd
Binary
11111010000000010
Octal
372002
Hexadecimal
0x1F402
Base64
AfQC
One's complement
4,294,839,293 (32-bit)
Scientific notation
1.28002 × 10⁵
As a duration
128,002 s = 1 day, 11 hours, 33 minutes, 22 seconds
In other bases
ternary (3) 20111120211
quaternary (4) 133100002
quinary (5) 13044002
senary (6) 2424334
septenary (7) 1042120
nonary (9) 214524
undecimal (11) 88196
duodecimal (12) 620aa
tridecimal (13) 46354
tetradecimal (14) 34910
pentadecimal (15) 27dd7

As an angle

128,002° = 355 × 360° + 202°
202° ≈ 3.526 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺
Greek (Milesian)
͵ρκηβʹ
Mayan (base 20)
𝋰·𝋠·𝋠·𝋢
Chinese
一十二萬八千零二
Chinese (financial)
壹拾貳萬捌仟零貳
In other modern scripts
Eastern Arabic ١٢٨٠٠٢ Devanagari १२८००२ Bengali ১২৮০০২ Tamil ௧௨௮௦௦௨ Thai ๑๒๘๐๐๒ Tibetan ༡༢༨༠༠༢ Khmer ១២៨០០២ Lao ໑໒໘໐໐໒ Burmese ၁၂၈၀၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 128002, here are decompositions:

  • 5 + 127997 = 128002
  • 23 + 127979 = 128002
  • 29 + 127973 = 128002
  • 71 + 127931 = 128002
  • 89 + 127913 = 128002
  • 239 + 127763 = 128002
  • 263 + 127739 = 128002
  • 269 + 127733 = 128002

Showing the first eight; more decompositions exist.

Unicode codepoint
🐂
Ox
U+1F402
Other symbol (So)

UTF-8 encoding: F0 9F 90 82 (4 bytes).

Hex color
#01F402
RGB(1, 244, 2)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.244.2.

Address
0.1.244.2
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.244.2

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 128,002 and was likely granted around 1872.

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

Related reading