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128,742

128,742 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.).

128,742 (one hundred twenty-eight thousand seven hundred forty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 43 × 499. Its proper divisors sum to 135,258, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F6E6.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
896
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
247,821
Recamán's sequence
a(232,156) = 128,742
Square (n²)
16,574,502,564
Cube (n³)
2,133,834,609,094,488
Divisor count
16
σ(n) — sum of divisors
264,000
φ(n) — Euler's totient
41,832
Sum of prime factors
547

Primality

Prime factorization: 2 × 3 × 43 × 499

Nearest primes: 128,717 (−25) · 128,747 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 43 · 86 · 129 · 258 · 499 · 998 · 1497 · 2994 · 21457 · 42914 · 64371 (half) · 128742
Aliquot sum (sum of proper divisors): 135,258
Factor pairs (a × b = 128,742)
1 × 128742
2 × 64371
3 × 42914
6 × 21457
43 × 2994
86 × 1497
129 × 998
258 × 499
First multiples
128,742 · 257,484 (double) · 386,226 · 514,968 · 643,710 · 772,452 · 901,194 · 1,029,936 · 1,158,678 · 1,287,420

Sums & aliquot sequence

As consecutive integers: 42,913 + 42,914 + 42,915 32,184 + 32,185 + 32,186 + 32,187 10,723 + 10,724 + … + 10,734 2,973 + 2,974 + … + 3,015
Aliquot sequence: 128,742 135,258 135,270 230,634 282,006 329,046 334,938 334,950 736,410 1,031,046 1,042,554 1,087,494 1,100,346 1,269,798 1,477,722 1,550,310 2,292,762 — unresolved within range

Continued fraction of √n

√128,742 = [358; (1, 4, 6, 10, 1, 1, 4, 1, 1, 3, 3, 2, 9, 1, 2, 16, 2, 1, 9, 2, 3, 3, 1, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-eight thousand seven hundred forty-two
Ordinal
128742nd
Binary
11111011011100110
Octal
373346
Hexadecimal
0x1F6E6
Base64
Afbm
One's complement
4,294,838,553 (32-bit)
Scientific notation
1.28742 × 10⁵
As a duration
128,742 s = 1 day, 11 hours, 45 minutes, 42 seconds
In other bases
ternary (3) 20112121020
quaternary (4) 133123212
quinary (5) 13104432
senary (6) 2432010
septenary (7) 1044225
nonary (9) 215536
undecimal (11) 887a9
duodecimal (12) 62606
tridecimal (13) 467a3
tetradecimal (14) 34cbc
pentadecimal (15) 2822c

As an angle

128,742° = 357 × 360° + 222°
222° ≈ 3.875 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκηψμβʹ
Mayan (base 20)
𝋰·𝋡·𝋱·𝋢
Chinese
一十二萬八千七百四十二
Chinese (financial)
壹拾貳萬捌仟柒佰肆拾貳
In other modern scripts
Eastern Arabic ١٢٨٧٤٢ Devanagari १२८७४२ Bengali ১২৮৭৪২ Tamil ௧௨௮௭௪௨ Thai ๑๒๘๗๔๒ Tibetan ༡༢༨༧༤༢ Khmer ១២៨៧៤២ Lao ໑໒໘໗໔໒ Burmese ၁၂၈၇၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 128742, here are decompositions:

  • 59 + 128683 = 128742
  • 73 + 128669 = 128742
  • 79 + 128663 = 128742
  • 83 + 128659 = 128742
  • 113 + 128629 = 128742
  • 139 + 128603 = 128742
  • 151 + 128591 = 128742
  • 179 + 128563 = 128742

Showing the first eight; more decompositions exist.

Unicode codepoint
🛦
Up-Pointing Military Airplane
U+1F6E6
Other symbol (So)

UTF-8 encoding: F0 9F 9B A6 (4 bytes).

Hex color
#01F6E6
RGB(1, 246, 230)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.246.230.

Address
0.1.246.230
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.246.230

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 128,742 and was likely granted around 1872.

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

Position in π

The digit sequence 128742 first appears in π at position 655,166 of the decimal expansion (the 655,166ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.