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135,772

135,772 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.).

135,772 (one hundred thirty-five thousand seven hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 13 × 373. Its proper divisors sum to 157,444, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2125C.

Abundant Number Cube-Free Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,470
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
277,531
Square (n²)
18,434,035,984
Cube (n³)
2,502,825,933,619,648
Divisor count
24
σ(n) — sum of divisors
293,216
φ(n) — Euler's totient
53,568
Sum of prime factors
397

Primality

Prime factorization: 2 2 × 7 × 13 × 373

Nearest primes: 135,757 (−15) · 135,781 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 13 · 14 · 26 · 28 · 52 · 91 · 182 · 364 · 373 · 746 · 1492 · 2611 · 4849 · 5222 · 9698 · 10444 · 19396 · 33943 · 67886 (half) · 135772
Aliquot sum (sum of proper divisors): 157,444
Factor pairs (a × b = 135,772)
1 × 135772
2 × 67886
4 × 33943
7 × 19396
13 × 10444
14 × 9698
26 × 5222
28 × 4849
52 × 2611
91 × 1492
182 × 746
364 × 373
First multiples
135,772 · 271,544 (double) · 407,316 · 543,088 · 678,860 · 814,632 · 950,404 · 1,086,176 · 1,221,948 · 1,357,720

Sums & aliquot sequence

As consecutive integers: 19,393 + 19,394 + … + 19,399 16,968 + 16,969 + … + 16,975 10,438 + 10,439 + … + 10,450 2,397 + 2,398 + … + 2,452
Aliquot sequence: 135,772 157,444 157,500 411,068 429,604 446,236 446,292 1,047,564 1,979,460 4,887,036 11,257,092 25,643,772 58,689,932 58,867,732 70,640,108 83,484,436 87,611,552 — unresolved within range

Continued fraction of √n

√135,772 = [368; (2, 8, 1, 1, 2, 25, 61, 2, 1, 2, 6, 2, 4, 2, 1, 1, 2, 81, 2, 81, 2, 1, 1, 2, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand seven hundred seventy-two
Ordinal
135772nd
Binary
100001001001011100
Octal
411134
Hexadecimal
0x2125C
Base64
AhJc
One's complement
4,294,831,523 (32-bit)
Scientific notation
1.35772 × 10⁵
As a duration
135,772 s = 1 day, 13 hours, 42 minutes, 52 seconds
In other bases
ternary (3) 20220020121
quaternary (4) 201021130
quinary (5) 13321042
senary (6) 2524324
septenary (7) 1103560
nonary (9) 226217
undecimal (11) 9300a
duodecimal (12) 666a4
tridecimal (13) 49a50
tetradecimal (14) 376a0
pentadecimal (15) 2a367

As an angle

135,772° = 377 × 360° + 52°
52° ≈ 0.908 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλεψοβʹ
Mayan (base 20)
𝋰·𝋳·𝋨·𝋬
Chinese
一十三萬五千七百七十二
Chinese (financial)
壹拾參萬伍仟柒佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٥٧٧٢ Devanagari १३५७७२ Bengali ১৩৫৭৭২ Tamil ௧௩௫௭௭௨ Thai ๑๓๕๗๗๒ Tibetan ༡༣༥༧༧༢ Khmer ១៣៥៧៧២ Lao ໑໓໕໗໗໒ Burmese ၁၃၅၇၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135772, here are decompositions:

  • 29 + 135743 = 135772
  • 41 + 135731 = 135772
  • 53 + 135719 = 135772
  • 71 + 135701 = 135772
  • 101 + 135671 = 135772
  • 149 + 135623 = 135772
  • 173 + 135599 = 135772
  • 179 + 135593 = 135772

Showing the first eight; more decompositions exist.

Unicode codepoint
𡉜
CJK Unified Ideograph-2125C
U+2125C
Other letter (Lo)

UTF-8 encoding: F0 A1 89 9C (4 bytes).

Hex color
#02125C
RGB(2, 18, 92)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.92.

Address
0.2.18.92
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.18.92

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 135,772 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 135772 first appears in π at position 870,505 of the decimal expansion (the 870,505ordinal-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