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138,746

138,746 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.).

138,746 (one hundred thirty-eight thousand seven hundred forty-six) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 173 × 401. Written other ways, in hexadecimal, 0x21DFA.

Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
4,032
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
647,831
Recamán's sequence
a(491,335) = 138,746
Square (n²)
19,250,452,516
Cube (n³)
2,670,923,284,784,936
Divisor count
8
σ(n) — sum of divisors
209,844
φ(n) — Euler's totient
68,800
Sum of prime factors
576

Primality

Prime factorization: 2 × 173 × 401

Nearest primes: 138,739 (−7) · 138,763 (+17)

Divisors & multiples

All divisors (8)
1 · 2 · 173 · 346 · 401 · 802 · 69373 (half) · 138746
Aliquot sum (sum of proper divisors): 71,098
Factor pairs (a × b = 138,746)
1 × 138746
2 × 69373
173 × 802
346 × 401
First multiples
138,746 · 277,492 (double) · 416,238 · 554,984 · 693,730 · 832,476 · 971,222 · 1,109,968 · 1,248,714 · 1,387,460

Sums & aliquot sequence

As a sum of two squares: 205² + 311² = 235² + 289²
As consecutive integers: 34,685 + 34,686 + 34,687 + 34,688 716 + 717 + … + 888 146 + 147 + … + 546
Aliquot sequence: 138,746 71,098 41,222 20,614 13,154 6,580 9,548 11,956 12,782 11,410 12,206 7,234 3,620 4,024 3,536 4,276 3,214 — unresolved within range

Continued fraction of √n

√138,746 = [372; (2, 17, 1, 2, 29, 2, 5, 1, 1, 1, 73, 1, 5, 1, 1, 1, 1, 5, 1, 73, 1, 1, 1, 5, …)]

Period length 31 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand seven hundred forty-six
Ordinal
138746th
Binary
100001110111111010
Octal
416772
Hexadecimal
0x21DFA
Base64
Ah36
One's complement
4,294,828,549 (32-bit)
Scientific notation
1.38746 × 10⁵
As a duration
138,746 s = 1 day, 14 hours, 32 minutes, 26 seconds
In other bases
ternary (3) 21001022202
quaternary (4) 201313322
quinary (5) 13414441
senary (6) 2550202
septenary (7) 1115336
nonary (9) 231282
undecimal (11) 95273
duodecimal (12) 68362
tridecimal (13) 4b1ca
tetradecimal (14) 387c6
pentadecimal (15) 2b19b

As an angle

138,746° = 385 × 360° + 146°
146° ≈ 2.548 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληψμϛʹ
Mayan (base 20)
𝋱·𝋦·𝋱·𝋦
Chinese
一十三萬八千七百四十六
Chinese (financial)
壹拾參萬捌仟柒佰肆拾陸
In other modern scripts
Eastern Arabic ١٣٨٧٤٦ Devanagari १३८७४६ Bengali ১৩৮৭৪৬ Tamil ௧௩௮௭௪௬ Thai ๑๓๘๗๔๖ Tibetan ༡༣༨༧༤༦ Khmer ១៣៨៧៤៦ Lao ໑໓໘໗໔໖ Burmese ၁၃၈၇၄၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138746, here are decompositions:

  • 7 + 138739 = 138746
  • 19 + 138727 = 138746
  • 67 + 138679 = 138746
  • 109 + 138637 = 138746
  • 199 + 138547 = 138746
  • 229 + 138517 = 138746
  • 277 + 138469 = 138746
  • 313 + 138433 = 138746

Showing the first eight; more decompositions exist.

Unicode codepoint
𡷺
CJK Unified Ideograph-21Dfa
U+21DFA
Other letter (Lo)

UTF-8 encoding: F0 A1 B7 BA (4 bytes).

Hex color
#021DFA
RGB(2, 29, 250)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.250.

Address
0.2.29.250
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.250

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 138,746 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 138746 first appears in π at position 179,893 of the decimal expansion (the 179,893ordinal-suffix:rd 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.