number.wiki
Live analysis

138,121

138,121 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.).

138,121 (one hundred thirty-eight thousand one hundred twenty-one) is an odd 6-digit number. It is a composite number with 4 divisors, and factors as 37 × 3,733. Written other ways, in hexadecimal, 0x21B89.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
48
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
121,831
Recamán's sequence
a(492,585) = 138,121
Square (n²)
19,077,410,641
Cube (n³)
2,634,991,035,145,561
Divisor count
4
σ(n) — sum of divisors
141,892
φ(n) — Euler's totient
134,352
Sum of prime factors
3,770

Primality

Prime factorization: 37 × 3733

Nearest primes: 138,113 (−8) · 138,139 (+18)

Divisors & multiples

All divisors (4)
1 · 37 · 3733 · 138121
Aliquot sum (sum of proper divisors): 3,771
Factor pairs (a × b = 138,121)
1 × 138121
37 × 3733
First multiples
138,121 · 276,242 (double) · 414,363 · 552,484 · 690,605 · 828,726 · 966,847 · 1,104,968 · 1,243,089 · 1,381,210

Sums & aliquot sequence

As a sum of two squares: 75² + 364² = 189² + 320²
As consecutive integers: 69,060 + 69,061 3,715 + 3,716 + … + 3,751 1,830 + 1,831 + … + 1,903
Aliquot sequence: 138,121 3,771 1,689 567 401 1 0 — terminates at zero

Continued fraction of √n

√138,121 = [371; (1, 1, 1, 4, 1, 3, 1, 34, 1, 1, 1, 1, 17, 1, 1, 8, 2, 3, 1, 3, 2, 4, 4, 1, …)]

Period length 51 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand one hundred twenty-one
Ordinal
138121st
Binary
100001101110001001
Octal
415611
Hexadecimal
0x21B89
Base64
AhuJ
One's complement
4,294,829,174 (32-bit)
Scientific notation
1.38121 × 10⁵
As a duration
138,121 s = 1 day, 14 hours, 22 minutes, 1 second
In other bases
ternary (3) 21000110121
quaternary (4) 201232021
quinary (5) 13404441
senary (6) 2543241
septenary (7) 1113454
nonary (9) 230417
undecimal (11) 94855
duodecimal (12) 67b21
tridecimal (13) 4ab39
tetradecimal (14) 3849b
pentadecimal (15) 2add1

As an angle

138,121° = 383 × 360° + 241°
241° ≈ 4.206 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρληρκαʹ
Mayan (base 20)
𝋱·𝋥·𝋦·𝋡
Chinese
一十三萬八千一百二十一
Chinese (financial)
壹拾參萬捌仟壹佰貳拾壹
In other modern scripts
Eastern Arabic ١٣٨١٢١ Devanagari १३८१२१ Bengali ১৩৮১২১ Tamil ௧௩௮௧௨௧ Thai ๑๓๘๑๒๑ Tibetan ༡༣༨༡༢༡ Khmer ១៣៨១២១ Lao ໑໓໘໑໒໑ Burmese ၁၃၈၁၂၁

Also seen as

Unicode codepoint
𡮉
CJK Unified Ideograph-21B89
U+21B89
Other letter (Lo)

UTF-8 encoding: F0 A1 AE 89 (4 bytes).

Hex color
#021B89
RGB(2, 27, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.137.

Address
0.2.27.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.137

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 138,121 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 138121 first appears in π at position 340,132 of the decimal expansion (the 340,132ordinal-suffix:nd 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