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135,762

135,762 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.).

135,762 (one hundred thirty-five thousand seven hundred sixty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 11³ × 17. Its proper divisors sum to 180,462, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21252.

Abundant Number Arithmetic Number Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,260
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
267,531
Square (n²)
18,431,320,644
Cube (n³)
2,502,272,953,270,728
Divisor count
32
σ(n) — sum of divisors
316,224
φ(n) — Euler's totient
38,720
Sum of prime factors
55

Primality

Prime factorization: 2 × 3 × 11 3 × 17

Nearest primes: 135,757 (−5) · 135,781 (+19)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 11 · 17 · 22 · 33 · 34 · 51 · 66 · 102 · 121 · 187 · 242 · 363 · 374 · 561 · 726 · 1122 · 1331 · 2057 · 2662 · 3993 · 4114 · 6171 · 7986 · 12342 · 22627 · 45254 · 67881 (half) · 135762
Aliquot sum (sum of proper divisors): 180,462
Factor pairs (a × b = 135,762)
1 × 135762
2 × 67881
3 × 45254
6 × 22627
11 × 12342
17 × 7986
22 × 6171
33 × 4114
34 × 3993
51 × 2662
66 × 2057
102 × 1331
121 × 1122
187 × 726
242 × 561
363 × 374
First multiples
135,762 · 271,524 (double) · 407,286 · 543,048 · 678,810 · 814,572 · 950,334 · 1,086,096 · 1,221,858 · 1,357,620

Sums & aliquot sequence

As consecutive integers: 45,253 + 45,254 + 45,255 33,939 + 33,940 + 33,941 + 33,942 12,337 + 12,338 + … + 12,347 11,308 + 11,309 + … + 11,319
Aliquot sequence: 135,762 180,462 199,698 205,518 205,530 375,078 443,418 449,958 497,562 574,278 574,290 972,090 1,918,278 2,574,522 3,034,458 4,479,750 8,807,706 — unresolved within range

Continued fraction of √n

√135,762 = [368; (2, 5, 1, 1, 2, 3, 1, 5, 3, 6, 1, 5, 4, 2, 2, 5, 1, 2, 7, 5, 1, 20, 1, 5, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand seven hundred sixty-two
Ordinal
135762nd
Binary
100001001001010010
Octal
411122
Hexadecimal
0x21252
Base64
AhJS
One's complement
4,294,831,533 (32-bit)
Scientific notation
1.35762 × 10⁵
As a duration
135,762 s = 1 day, 13 hours, 42 minutes, 42 seconds
In other bases
ternary (3) 20220020020
quaternary (4) 201021102
quinary (5) 13321022
senary (6) 2524310
septenary (7) 1103544
nonary (9) 226206
undecimal (11) 93000
duodecimal (12) 66696
tridecimal (13) 49a43
tetradecimal (14) 37694
pentadecimal (15) 2a35c

As an angle

135,762° = 377 × 360° + 42°
42° ≈ 0.733 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλεψξβʹ
Mayan (base 20)
𝋰·𝋳·𝋨·𝋢
Chinese
一十三萬五千七百六十二
Chinese (financial)
壹拾參萬伍仟柒佰陸拾貳
In other modern scripts
Eastern Arabic ١٣٥٧٦٢ Devanagari १३५७६२ Bengali ১৩৫৭৬২ Tamil ௧௩௫௭௬௨ Thai ๑๓๕๗๖๒ Tibetan ༡༣༥༧༦༢ Khmer ១៣៥៧៦២ Lao ໑໓໕໗໖໒ Burmese ၁၃၅၇၆၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135762, here are decompositions:

  • 5 + 135757 = 135762
  • 19 + 135743 = 135762
  • 31 + 135731 = 135762
  • 41 + 135721 = 135762
  • 43 + 135719 = 135762
  • 61 + 135701 = 135762
  • 101 + 135661 = 135762
  • 113 + 135649 = 135762

Showing the first eight; more decompositions exist.

Unicode codepoint
𡉒
CJK Unified Ideograph-21252
U+21252
Other letter (Lo)

UTF-8 encoding: F0 A1 89 92 (4 bytes).

Hex color
#021252
RGB(2, 18, 82)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.82.

Address
0.2.18.82
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.18.82

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 135,762 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 135762 first appears in π at position 261,915 of the decimal expansion (the 261,915ordinal-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°.