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138,075

138,075 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.).

138,075 (one hundred thirty-eight thousand seventy-five) is an odd 6-digit number. It is a composite number with 24 divisors, and factors as 3 × 5² × 7 × 263. It is the 525th triangular number. Written other ways, in hexadecimal, 0x21B5B.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Hexagonal Recamán's Sequence Triangular

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
570,831
Recamán's sequence
a(492,677) = 138,075
Square (n²)
19,064,705,625
Cube (n³)
2,632,359,229,171,875
Divisor count
24
σ(n) — sum of divisors
261,888
φ(n) — Euler's totient
62,880
Sum of prime factors
283

Primality

Prime factorization: 3 × 5 2 × 7 × 263

Nearest primes: 138,071 (−4) · 138,077 (+2)

Divisors & multiples

All divisors (24)
1 · 3 · 5 · 7 · 15 · 21 · 25 · 35 · 75 · 105 · 175 · 263 · 525 · 789 · 1315 · 1841 · 3945 · 5523 · 6575 · 9205 · 19725 · 27615 · 46025 · 138075
Aliquot sum (sum of proper divisors): 123,813
Factor pairs (a × b = 138,075)
1 × 138075
3 × 46025
5 × 27615
7 × 19725
15 × 9205
21 × 6575
25 × 5523
35 × 3945
75 × 1841
105 × 1315
175 × 789
263 × 525
First multiples
138,075 · 276,150 (double) · 414,225 · 552,300 · 690,375 · 828,450 · 966,525 · 1,104,600 · 1,242,675 · 1,380,750

Sums & aliquot sequence

As consecutive integers: 69,037 + 69,038 46,024 + 46,025 + 46,026 27,613 + 27,614 + 27,615 + 27,616 + 27,617 23,010 + 23,011 + 23,012 + 23,013 + 23,014 + 23,015
Aliquot sequence: 138,075 123,813 55,041 28,863 13,937 3,535 1,361 1 0 — terminates at zero

Continued fraction of √n

√138,075 = [371; (1, 1, 2, 2, 5, 1, 4, 1, 4, 1, 5, 2, 2, 1, 1, 742)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand seventy-five
Ordinal
138075th
Binary
100001101101011011
Octal
415533
Hexadecimal
0x21B5B
Base64
Ahtb
One's complement
4,294,829,220 (32-bit)
Scientific notation
1.38075 × 10⁵
As a duration
138,075 s = 1 day, 14 hours, 21 minutes, 15 seconds
In other bases
ternary (3) 21000101220
quaternary (4) 201231123
quinary (5) 13404300
senary (6) 2543123
septenary (7) 1113360
nonary (9) 230356
undecimal (11) 94813
duodecimal (12) 67aa3
tridecimal (13) 4ab02
tetradecimal (14) 38467
pentadecimal (15) 2ada0

As an angle

138,075° = 383 × 360° + 195°
195° ≈ 3.403 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληοεʹ
Mayan (base 20)
𝋱·𝋥·𝋣·𝋯
Chinese
一十三萬八千零七十五
Chinese (financial)
壹拾參萬捌仟零柒拾伍
In other modern scripts
Eastern Arabic ١٣٨٠٧٥ Devanagari १३८०७५ Bengali ১৩৮০৭৫ Tamil ௧௩௮௦௭௫ Thai ๑๓๘๐๗๕ Tibetan ༡༣༨༠༧༥ Khmer ១៣៨០៧៥ Lao ໑໓໘໐໗໕ Burmese ၁၃၈၀၇၅

Also seen as

Unicode codepoint
𡭛
CJK Unified Ideograph-21B5B
U+21B5B
Other letter (Lo)

UTF-8 encoding: F0 A1 AD 9B (4 bytes).

Hex color
#021B5B
RGB(2, 27, 91)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.91.

Address
0.2.27.91
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.91

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 138,075 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 138075 first appears in π at position 203,086 of the decimal expansion (the 203,086ordinal-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

  • Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.