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135,736

135,736 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.).

135,736 (one hundred thirty-five thousand seven hundred thirty-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 19² × 47. Its proper divisors sum to 138,584, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21238.

Abundant Number Arithmetic Number Evil Number Happy Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,890
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
637,531
Square (n²)
18,424,261,696
Cube (n³)
2,500,835,585,568,256
Divisor count
24
σ(n) — sum of divisors
274,320
φ(n) — Euler's totient
62,928
Sum of prime factors
91

Primality

Prime factorization: 2 3 × 19 2 × 47

Nearest primes: 135,731 (−5) · 135,743 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 19 · 38 · 47 · 76 · 94 · 152 · 188 · 361 · 376 · 722 · 893 · 1444 · 1786 · 2888 · 3572 · 7144 · 16967 · 33934 · 67868 (half) · 135736
Aliquot sum (sum of proper divisors): 138,584
Factor pairs (a × b = 135,736)
1 × 135736
2 × 67868
4 × 33934
8 × 16967
19 × 7144
38 × 3572
47 × 2888
76 × 1786
94 × 1444
152 × 893
188 × 722
361 × 376
First multiples
135,736 · 271,472 (double) · 407,208 · 542,944 · 678,680 · 814,416 · 950,152 · 1,085,888 · 1,221,624 · 1,357,360

Sums & aliquot sequence

As consecutive integers: 8,476 + 8,477 + … + 8,491 7,135 + 7,136 + … + 7,153 2,865 + 2,866 + … + 2,911 295 + 296 + … + 598
Aliquot sequence: 135,736 138,584 136,816 144,416 139,966 74,594 53,086 39,074 27,934 13,970 13,678 9,794 5,326 2,666 1,558 962 634 — unresolved within range

Continued fraction of √n

√135,736 = [368; (2, 2, 1, 3, 2, 4, 2, 1, 1, 1, 48, 2, 48, 1, 1, 1, 2, 4, 2, 3, 1, 2, 2, 736)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand seven hundred thirty-six
Ordinal
135736th
Binary
100001001000111000
Octal
411070
Hexadecimal
0x21238
Base64
AhI4
One's complement
4,294,831,559 (32-bit)
Scientific notation
1.35736 × 10⁵
As a duration
135,736 s = 1 day, 13 hours, 42 minutes, 16 seconds
In other bases
ternary (3) 20220012021
quaternary (4) 201020320
quinary (5) 13320421
senary (6) 2524224
septenary (7) 1103506
nonary (9) 226167
undecimal (11) 92a87
duodecimal (12) 66674
tridecimal (13) 49a23
tetradecimal (14) 37676
pentadecimal (15) 2a341

As an angle

135,736° = 377 × 360° + 16°
16° ≈ 0.279 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλεψλϛʹ
Mayan (base 20)
𝋰·𝋳·𝋦·𝋰
Chinese
一十三萬五千七百三十六
Chinese (financial)
壹拾參萬伍仟柒佰參拾陸
In other modern scripts
Eastern Arabic ١٣٥٧٣٦ Devanagari १३५७३६ Bengali ১৩৫৭৩৬ Tamil ௧௩௫௭௩௬ Thai ๑๓๕๗๓๖ Tibetan ༡༣༥༧༣༦ Khmer ១៣៥៧៣៦ Lao ໑໓໕໗໓໖ Burmese ၁၃၅၇၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135736, here are decompositions:

  • 5 + 135731 = 135736
  • 17 + 135719 = 135736
  • 89 + 135647 = 135736
  • 113 + 135623 = 135736
  • 137 + 135599 = 135736
  • 239 + 135497 = 135736
  • 257 + 135479 = 135736
  • 269 + 135467 = 135736

Showing the first eight; more decompositions exist.

Unicode codepoint
𡈸
CJK Unified Ideograph-21238
U+21238
Other letter (Lo)

UTF-8 encoding: F0 A1 88 B8 (4 bytes).

Hex color
#021238
RGB(2, 18, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.56.

Address
0.2.18.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.18.56

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 135,736 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 135736 first appears in π at position 519,297 of the decimal expansion (the 519,297ordinal-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