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138,136

138,136 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.).

138,136 (one hundred thirty-eight thousand one hundred thirty-six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 31 × 557. Written other ways, in hexadecimal, 0x21B98.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
432
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
631,831
Recamán's sequence
a(492,555) = 138,136
Square (n²)
19,081,554,496
Cube (n³)
2,635,849,611,859,456
Divisor count
16
σ(n) — sum of divisors
267,840
φ(n) — Euler's totient
66,720
Sum of prime factors
594

Primality

Prime factorization: 2 3 × 31 × 557

Nearest primes: 138,113 (−23) · 138,139 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 31 · 62 · 124 · 248 · 557 · 1114 · 2228 · 4456 · 17267 · 34534 · 69068 (half) · 138136
Aliquot sum (sum of proper divisors): 129,704
Factor pairs (a × b = 138,136)
1 × 138136
2 × 69068
4 × 34534
8 × 17267
31 × 4456
62 × 2228
124 × 1114
248 × 557
First multiples
138,136 · 276,272 (double) · 414,408 · 552,544 · 690,680 · 828,816 · 966,952 · 1,105,088 · 1,243,224 · 1,381,360

Sums & aliquot sequence

As consecutive integers: 8,626 + 8,627 + … + 8,641 4,441 + 4,442 + … + 4,471 31 + 32 + … + 526
Aliquot sequence: 138,136 129,704 121,816 106,604 86,596 64,954 34,694 25,786 12,896 15,328 14,912 14,806 9,458 4,732 5,516 5,572 5,628 — unresolved within range

Continued fraction of √n

√138,136 = [371; (1, 1, 1, 742)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand one hundred thirty-six
Ordinal
138136th
Binary
100001101110011000
Octal
415630
Hexadecimal
0x21B98
Base64
AhuY
One's complement
4,294,829,159 (32-bit)
Scientific notation
1.38136 × 10⁵
As a duration
138,136 s = 1 day, 14 hours, 22 minutes, 16 seconds
In other bases
ternary (3) 21000111011
quaternary (4) 201232120
quinary (5) 13410021
senary (6) 2543304
septenary (7) 1113505
nonary (9) 230434
undecimal (11) 94869
duodecimal (12) 67b34
tridecimal (13) 4ab4b
tetradecimal (14) 384ac
pentadecimal (15) 2ade1

As an angle

138,136° = 383 × 360° + 256°
256° ≈ 4.468 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληρλϛʹ
Mayan (base 20)
𝋱·𝋥·𝋦·𝋰
Chinese
一十三萬八千一百三十六
Chinese (financial)
壹拾參萬捌仟壹佰參拾陸
In other modern scripts
Eastern Arabic ١٣٨١٣٦ Devanagari १३८१३६ Bengali ১৩৮১৩৬ Tamil ௧௩௮௧௩௬ Thai ๑๓๘๑๓๖ Tibetan ༡༣༨༡༣༦ Khmer ១៣៨១៣៦ Lao ໑໓໘໑໓໖ Burmese ၁၃၈၁၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138136, here are decompositions:

  • 23 + 138113 = 138136
  • 29 + 138107 = 138136
  • 59 + 138077 = 138136
  • 83 + 138053 = 138136
  • 137 + 137999 = 138136
  • 179 + 137957 = 138136
  • 227 + 137909 = 138136
  • 263 + 137873 = 138136

Showing the first eight; more decompositions exist.

Unicode codepoint
𡮘
CJK Unified Ideograph-21B98
U+21B98
Other letter (Lo)

UTF-8 encoding: F0 A1 AE 98 (4 bytes).

Hex color
#021B98
RGB(2, 27, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.152.

Address
0.2.27.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.152

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 138,136 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 138136 first appears in π at position 745,608 of the decimal expansion (the 745,608ordinal-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