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135,722

135,722 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.).

135,722 (one hundred thirty-five thousand seven hundred twenty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 79 × 859. Written other ways, in hexadecimal, 0x2122A.

Arithmetic Number Cube-Free Deficient Number Evil Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
420
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
227,531
Square (n²)
18,420,461,284
Cube (n³)
2,500,061,846,387,048
Divisor count
8
σ(n) — sum of divisors
206,400
φ(n) — Euler's totient
66,924
Sum of prime factors
940

Primality

Prime factorization: 2 × 79 × 859

Nearest primes: 135,721 (−1) · 135,727 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 79 · 158 · 859 · 1718 · 67861 (half) · 135722
Aliquot sum (sum of proper divisors): 70,678
Factor pairs (a × b = 135,722)
1 × 135722
2 × 67861
79 × 1718
158 × 859
First multiples
135,722 · 271,444 (double) · 407,166 · 542,888 · 678,610 · 814,332 · 950,054 · 1,085,776 · 1,221,498 · 1,357,220

Sums & aliquot sequence

As consecutive integers: 33,929 + 33,930 + 33,931 + 33,932 1,679 + 1,680 + … + 1,757 272 + 273 + … + 587
Aliquot sequence: 135,722 70,678 35,342 19,090 17,198 8,602 6,950 6,070 4,874 2,440 3,140 3,496 3,704 3,256 3,584 4,600 6,560 — unresolved within range

Continued fraction of √n

√135,722 = [368; (2, 2, 8, 5, 1, 32, 1, 1, 1, 8, 1, 1, 1, 32, 1, 5, 8, 2, 2, 736)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand seven hundred twenty-two
Ordinal
135722nd
Binary
100001001000101010
Octal
411052
Hexadecimal
0x2122A
Base64
AhIq
One's complement
4,294,831,573 (32-bit)
Scientific notation
1.35722 × 10⁵
As a duration
135,722 s = 1 day, 13 hours, 42 minutes, 2 seconds
In other bases
ternary (3) 20220011202
quaternary (4) 201020222
quinary (5) 13320342
senary (6) 2524202
septenary (7) 1103456
nonary (9) 226152
undecimal (11) 92a74
duodecimal (12) 66662
tridecimal (13) 49a12
tetradecimal (14) 37666
pentadecimal (15) 2a332

As an angle

135,722° = 377 × 360° + 2°
2° ≈ 0.035 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλεψκβʹ
Mayan (base 20)
𝋰·𝋳·𝋦·𝋢
Chinese
一十三萬五千七百二十二
Chinese (financial)
壹拾參萬伍仟柒佰貳拾貳
In other modern scripts
Eastern Arabic ١٣٥٧٢٢ Devanagari १३५७२२ Bengali ১৩৫৭২২ Tamil ௧௩௫௭௨௨ Thai ๑๓๕๗๒๒ Tibetan ༡༣༥༧༢༢ Khmer ១៣៥៧២២ Lao ໑໓໕໗໒໒ Burmese ၁၃၅၇၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135722, here are decompositions:

  • 3 + 135719 = 135722
  • 61 + 135661 = 135722
  • 73 + 135649 = 135722
  • 109 + 135613 = 135722
  • 151 + 135571 = 135722
  • 163 + 135559 = 135722
  • 211 + 135511 = 135722
  • 313 + 135409 = 135722

Showing the first eight; more decompositions exist.

Unicode codepoint
𡈪
CJK Unified Ideograph-2122A
U+2122A
Other letter (Lo)

UTF-8 encoding: F0 A1 88 AA (4 bytes).

Hex color
#02122A
RGB(2, 18, 42)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.42.

Address
0.2.18.42
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.18.42

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 135,722 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 135722 first appears in π at position 713,242 of the decimal expansion (the 713,242ordinal-suffix:nd 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.