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138,872

138,872 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.).

138,872 (one hundred thirty-eight thousand eight hundred seventy-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2³ × 17,359. Written other ways, in hexadecimal, 0x21E78.

Arithmetic Number Deficient Number Odious Number Recamán's Sequence Refactorable Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
2,688
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
278,831
Recamán's sequence
a(491,083) = 138,872
Square (n²)
19,285,432,384
Cube (n³)
2,678,206,566,030,848
Divisor count
8
σ(n) — sum of divisors
260,400
φ(n) — Euler's totient
69,432
Sum of prime factors
17,365

Primality

Prime factorization: 2 3 × 17359

Nearest primes: 138,869 (−3) · 138,883 (+11)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 17359 · 34718 · 69436 (half) · 138872
Aliquot sum (sum of proper divisors): 121,528
Factor pairs (a × b = 138,872)
1 × 138872
2 × 69436
4 × 34718
8 × 17359
First multiples
138,872 · 277,744 (double) · 416,616 · 555,488 · 694,360 · 833,232 · 972,104 · 1,110,976 · 1,249,848 · 1,388,720

Sums & aliquot sequence

As consecutive integers: 8,672 + 8,673 + … + 8,687
Aliquot sequence: 138,872 121,528 127,232 167,104 212,880 447,792 772,368 1,223,040 3,660,720 9,314,640 23,850,648 40,745,052 72,150,948 110,489,692 84,099,948 112,133,292 165,695,700 — unresolved within range

Continued fraction of √n

√138,872 = [372; (1, 1, 1, 9, 7, 7, 1, 1, 5, 2, 1, 43, 6, 2, 2, 17, 1, 3, 2, 1, 1, 2, 1, 1, …)]

Representations

In words
one hundred thirty-eight thousand eight hundred seventy-two
Ordinal
138872nd
Binary
100001111001111000
Octal
417170
Hexadecimal
0x21E78
Base64
Ah54
One's complement
4,294,828,423 (32-bit)
Scientific notation
1.38872 × 10⁵
As a duration
138,872 s = 1 day, 14 hours, 34 minutes, 32 seconds
In other bases
ternary (3) 21001111102
quaternary (4) 201321320
quinary (5) 13420442
senary (6) 2550532
septenary (7) 1115606
nonary (9) 231442
undecimal (11) 95378
duodecimal (12) 68448
tridecimal (13) 4b296
tetradecimal (14) 38876
pentadecimal (15) 2b232

As an angle

138,872° = 385 × 360° + 272°
272° ≈ 4.747 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρληωοβʹ
Mayan (base 20)
𝋱·𝋧·𝋣·𝋬
Chinese
一十三萬八千八百七十二
Chinese (financial)
壹拾參萬捌仟捌佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٨٨٧٢ Devanagari १३८८७२ Bengali ১৩৮৮৭২ Tamil ௧௩௮௮௭௨ Thai ๑๓๘๘๗๒ Tibetan ༡༣༨༨༧༢ Khmer ១៣៨៨៧២ Lao ໑໓໘໘໗໒ Burmese ၁၃၈၈၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138872, here are decompositions:

  • 3 + 138869 = 138872
  • 31 + 138841 = 138872
  • 43 + 138829 = 138872
  • 73 + 138799 = 138872
  • 79 + 138793 = 138872
  • 109 + 138763 = 138872
  • 193 + 138679 = 138872
  • 211 + 138661 = 138872

Showing the first eight; more decompositions exist.

Unicode codepoint
𡹸
CJK Unified Ideograph-21E78
U+21E78
Other letter (Lo)

UTF-8 encoding: F0 A1 B9 B8 (4 bytes).

Hex color
#021E78
RGB(2, 30, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.120.

Address
0.2.30.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.30.120

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 138,872 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 138872 first appears in π at position 412,128 of the decimal expansion (the 412,128ordinal-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.