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138,437

138,437 is a composite number, odd.

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.).

138,437 (one hundred thirty-eight thousand four hundred thirty-seven) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 13 × 23 × 463. Written other ways, in hexadecimal, 0x21CC5.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
2,016
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
734,831
Recamán's sequence
a(491,953) = 138,437
Square (n²)
19,164,802,969
Cube (n³)
2,653,117,828,619,453
Divisor count
8
σ(n) — sum of divisors
155,904
φ(n) — Euler's totient
121,968
Sum of prime factors
499

Primality

Prime factorization: 13 × 23 × 463

Nearest primes: 138,433 (−4) · 138,449 (+12)

Divisors & multiples

All divisors (8)
1 · 13 · 23 · 299 · 463 · 6019 · 10649 · 138437
Aliquot sum (sum of proper divisors): 17,467
Factor pairs (a × b = 138,437)
1 × 138437
13 × 10649
23 × 6019
299 × 463
First multiples
138,437 · 276,874 (double) · 415,311 · 553,748 · 692,185 · 830,622 · 969,059 · 1,107,496 · 1,245,933 · 1,384,370

Sums & aliquot sequence

As consecutive integers: 69,218 + 69,219 10,643 + 10,644 + … + 10,655 6,008 + 6,009 + … + 6,030 5,312 + 5,313 + … + 5,337
Aliquot sequence: 138,437 17,467 1 0 — terminates at zero

Continued fraction of √n

√138,437 = [372; (14, 25, 1, 1, 2, 3, 7, 1, 3, 1, 6, 6, 3, 1, 2, 1, 3, 185, 1, 3, 3, 3, 1, 5, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand four hundred thirty-seven
Ordinal
138437th
Binary
100001110011000101
Octal
416305
Hexadecimal
0x21CC5
Base64
AhzF
One's complement
4,294,828,858 (32-bit)
Scientific notation
1.38437 × 10⁵
As a duration
138,437 s = 1 day, 14 hours, 27 minutes, 17 seconds
In other bases
ternary (3) 21000220022
quaternary (4) 201303011
quinary (5) 13412222
senary (6) 2544525
septenary (7) 1114415
nonary (9) 230808
undecimal (11) 95012
duodecimal (12) 68145
tridecimal (13) 4b020
tetradecimal (14) 38645
pentadecimal (15) 2b042

As an angle

138,437° = 384 × 360° + 197°
197° ≈ 3.438 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληυλζʹ
Mayan (base 20)
𝋱·𝋦·𝋡·𝋱
Chinese
一十三萬八千四百三十七
Chinese (financial)
壹拾參萬捌仟肆佰參拾柒
In other modern scripts
Eastern Arabic ١٣٨٤٣٧ Devanagari १३८४३७ Bengali ১৩৮৪৩৭ Tamil ௧௩௮௪௩௭ Thai ๑๓๘๔๓๗ Tibetan ༡༣༨༤༣༧ Khmer ១៣៨៤៣៧ Lao ໑໓໘໔໓໗ Burmese ၁၃၈၄၃၇

Also seen as

Unicode codepoint
𡳅
CJK Unified Ideograph-21Cc5
U+21CC5
Other letter (Lo)

UTF-8 encoding: F0 A1 B3 85 (4 bytes).

Hex color
#021CC5
RGB(2, 28, 197)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.197.

Address
0.2.28.197
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.197

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 138,437 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 138437 first appears in π at position 8,209 of the decimal expansion (the 8,209ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.