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138,591

138,591 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.).

138,591 (one hundred thirty-eight thousand five hundred ninety-one) is an odd 6-digit number. It is a composite number with 20 divisors, and factors as 3⁴ × 29 × 59. Written other ways, in hexadecimal, 0x21D5F.

Arithmetic Number Deficient Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
27
Digit product
1,080
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
195,831
Recamán's sequence
a(491,645) = 138,591
Square (n²)
19,207,465,281
Cube (n³)
2,661,981,820,759,071
Divisor count
20
σ(n) — sum of divisors
217,800
φ(n) — Euler's totient
87,696
Sum of prime factors
100

Primality

Prime factorization: 3 4 × 29 × 59

Nearest primes: 138,587 (−4) · 138,599 (+8)

Divisors & multiples

All divisors (20)
1 · 3 · 9 · 27 · 29 · 59 · 81 · 87 · 177 · 261 · 531 · 783 · 1593 · 1711 · 2349 · 4779 · 5133 · 15399 · 46197 · 138591
Aliquot sum (sum of proper divisors): 79,209
Factor pairs (a × b = 138,591)
1 × 138591
3 × 46197
9 × 15399
27 × 5133
29 × 4779
59 × 2349
81 × 1711
87 × 1593
177 × 783
261 × 531
First multiples
138,591 · 277,182 (double) · 415,773 · 554,364 · 692,955 · 831,546 · 970,137 · 1,108,728 · 1,247,319 · 1,385,910

Sums & aliquot sequence

As consecutive integers: 69,295 + 69,296 46,196 + 46,197 + 46,198 23,096 + 23,097 + 23,098 + 23,099 + 23,100 + 23,101 15,395 + 15,396 + … + 15,403
Aliquot sequence: 138,591 79,209 44,187 25,701 11,259 5,681 1,039 1 0 — terminates at zero

Continued fraction of √n

√138,591 = [372; (3, 1, 1, 2, 8, 1, 1, 2, 1, 1, 3, 1, 1, 2, 1, 2, 1, 29, 19, 1, 1, 3, 1, 2, …)]

Representations

In words
one hundred thirty-eight thousand five hundred ninety-one
Ordinal
138591st
Binary
100001110101011111
Octal
416537
Hexadecimal
0x21D5F
Base64
Ah1f
One's complement
4,294,828,704 (32-bit)
Scientific notation
1.38591 × 10⁵
As a duration
138,591 s = 1 day, 14 hours, 29 minutes, 51 seconds
In other bases
ternary (3) 21001010000
quaternary (4) 201311133
quinary (5) 13413331
senary (6) 2545343
septenary (7) 1115025
nonary (9) 231100
undecimal (11) 95142
duodecimal (12) 68253
tridecimal (13) 4b10b
tetradecimal (14) 38715
pentadecimal (15) 2b0e6

As an angle

138,591° = 384 × 360° + 351°
351° ≈ 6.126 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρληφϟαʹ
Mayan (base 20)
𝋱·𝋦·𝋩·𝋫
Chinese
一十三萬八千五百九十一
Chinese (financial)
壹拾參萬捌仟伍佰玖拾壹
In other modern scripts
Eastern Arabic ١٣٨٥٩١ Devanagari १३८५९१ Bengali ১৩৮৫৯১ Tamil ௧௩௮௫௯௧ Thai ๑๓๘๕๙๑ Tibetan ༡༣༨༥༩༡ Khmer ១៣៨៥៩១ Lao ໑໓໘໕໙໑ Burmese ၁၃၈၅၉၁

Also seen as

Unicode codepoint
𡵟
CJK Unified Ideograph-21D5F
U+21D5F
Other letter (Lo)

UTF-8 encoding: F0 A1 B5 9F (4 bytes).

Hex color
#021D5F
RGB(2, 29, 95)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.95.

Address
0.2.29.95
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.95

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 138,591 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 138591 first appears in π at position 47,805 of the decimal expansion (the 47,805ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.