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138,336

138,336 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.).

138,336 (one hundred thirty-eight thousand three hundred thirty-six) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 11 × 131. Its proper divisors sum to 260,832, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21C60.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,296
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
633,831
Recamán's sequence
a(492,155) = 138,336
Square (n²)
19,136,848,896
Cube (n³)
2,647,315,128,877,056
Divisor count
48
σ(n) — sum of divisors
399,168
φ(n) — Euler's totient
41,600
Sum of prime factors
155

Primality

Prime factorization: 2 5 × 3 × 11 × 131

Nearest primes: 138,323 (−13) · 138,337 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 16 · 22 · 24 · 32 · 33 · 44 · 48 · 66 · 88 · 96 · 131 · 132 · 176 · 262 · 264 · 352 · 393 · 524 · 528 · 786 · 1048 · 1056 · 1441 · 1572 · 2096 · 2882 · 3144 · 4192 · 4323 · 5764 · 6288 · 8646 · 11528 · 12576 · 17292 · 23056 · 34584 · 46112 · 69168 (half) · 138336
Aliquot sum (sum of proper divisors): 260,832
Factor pairs (a × b = 138,336)
1 × 138336
2 × 69168
3 × 46112
4 × 34584
6 × 23056
8 × 17292
11 × 12576
12 × 11528
16 × 8646
22 × 6288
24 × 5764
32 × 4323
33 × 4192
44 × 3144
48 × 2882
66 × 2096
88 × 1572
96 × 1441
131 × 1056
132 × 1048
176 × 786
262 × 528
264 × 524
352 × 393
First multiples
138,336 · 276,672 (double) · 415,008 · 553,344 · 691,680 · 830,016 · 968,352 · 1,106,688 · 1,245,024 · 1,383,360

Sums & aliquot sequence

As consecutive integers: 46,111 + 46,112 + 46,113 12,571 + 12,572 + … + 12,581 4,176 + 4,177 + … + 4,208 2,130 + 2,131 + … + 2,193
Aliquot sequence: 138,336 260,832 585,888 1,047,072 1,916,448 3,114,480 7,063,440 16,000,560 38,665,584 76,237,776 137,827,764 219,503,756 165,569,884 133,524,324 242,691,516 370,778,796 598,511,064 — unresolved within range

Continued fraction of √n

√138,336 = [371; (1, 14, 2, 185, 2, 14, 1, 742)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand three hundred thirty-six
Ordinal
138336th
Binary
100001110001100000
Octal
416140
Hexadecimal
0x21C60
Base64
Ahxg
One's complement
4,294,828,959 (32-bit)
Scientific notation
1.38336 × 10⁵
As a duration
138,336 s = 1 day, 14 hours, 25 minutes, 36 seconds
In other bases
ternary (3) 21000202120
quaternary (4) 201301200
quinary (5) 13411321
senary (6) 2544240
septenary (7) 1114212
nonary (9) 230676
undecimal (11) 94a30
duodecimal (12) 68080
tridecimal (13) 4ac73
tetradecimal (14) 385b2
pentadecimal (15) 2aec6

As an angle

138,336° = 384 × 360° + 96°
96° ≈ 1.676 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλητλϛʹ
Mayan (base 20)
𝋱·𝋥·𝋰·𝋰
Chinese
一十三萬八千三百三十六
Chinese (financial)
壹拾參萬捌仟參佰參拾陸
In other modern scripts
Eastern Arabic ١٣٨٣٣٦ Devanagari १३८३३६ Bengali ১৩৮৩৩৬ Tamil ௧௩௮௩௩௬ Thai ๑๓๘๓๓๖ Tibetan ༡༣༨༣༣༦ Khmer ១៣៨៣៣៦ Lao ໑໓໘໓໓໖ Burmese ၁၃၈၃၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138336, here are decompositions:

  • 13 + 138323 = 138336
  • 17 + 138319 = 138336
  • 47 + 138289 = 138336
  • 53 + 138283 = 138336
  • 89 + 138247 = 138336
  • 97 + 138239 = 138336
  • 127 + 138209 = 138336
  • 139 + 138197 = 138336

Showing the first eight; more decompositions exist.

Unicode codepoint
𡱠
CJK Unified Ideograph-21C60
U+21C60
Other letter (Lo)

UTF-8 encoding: F0 A1 B1 A0 (4 bytes).

Hex color
#021C60
RGB(2, 28, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.96.

Address
0.2.28.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.96

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 138,336 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 138336 first appears in π at position 803,125 of the decimal expansion (the 803,125ordinal-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°.