number.wiki
Live analysis

139,984

139,984 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.).

139,984 (one hundred thirty-nine thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 13 × 673. Its proper divisors sum to 152,532, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x222D0.

Abundant Number Evil Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
34
Digit product
7,776
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
489,931
Recamán's sequence
a(488,859) = 139,984
Square (n²)
19,595,520,256
Cube (n³)
2,743,059,307,515,904
Divisor count
20
σ(n) — sum of divisors
292,516
φ(n) — Euler's totient
64,512
Sum of prime factors
694

Primality

Prime factorization: 2 4 × 13 × 673

Nearest primes: 139,981 (−3) · 139,987 (+3)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 52 · 104 · 208 · 673 · 1346 · 2692 · 5384 · 8749 · 10768 · 17498 · 34996 · 69992 (half) · 139984
Aliquot sum (sum of proper divisors): 152,532
Factor pairs (a × b = 139,984)
1 × 139984
2 × 69992
4 × 34996
8 × 17498
13 × 10768
16 × 8749
26 × 5384
52 × 2692
104 × 1346
208 × 673
First multiples
139,984 · 279,968 (double) · 419,952 · 559,936 · 699,920 · 839,904 · 979,888 · 1,119,872 · 1,259,856 · 1,399,840

Sums & aliquot sequence

As a sum of two squares: 40² + 372² = 180² + 328²
As consecutive integers: 10,762 + 10,763 + … + 10,774 4,359 + 4,360 + … + 4,390 129 + 130 + … + 544
Aliquot sequence: 139,984 152,532 255,148 194,924 146,200 222,080 310,360 388,040 502,960 666,608 648,040 897,440 1,279,840 1,910,480 3,339,184 3,130,516 2,977,964 — unresolved within range

Continued fraction of √n

√139,984 = [374; (6, 1, 12, 1, 2, 1, 31, 1, 3, 1, 2, 1, 3, 1, 31, 1, 2, 1, 12, 1, 6, 748)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-nine thousand nine hundred eighty-four
Ordinal
139984th
Binary
100010001011010000
Octal
421320
Hexadecimal
0x222D0
Base64
AiLQ
One's complement
4,294,827,311 (32-bit)
Scientific notation
1.39984 × 10⁵
As a duration
139,984 s = 1 day, 14 hours, 53 minutes, 4 seconds
In other bases
ternary (3) 21010000121
quaternary (4) 202023100
quinary (5) 13434414
senary (6) 3000024
septenary (7) 1122055
nonary (9) 233017
undecimal (11) 96199
duodecimal (12) 69014
tridecimal (13) 4b940
tetradecimal (14) 3902c
pentadecimal (15) 2b724

As an angle

139,984° = 388 × 360° + 304°
304° ≈ 5.306 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλθϡπδʹ
Mayan (base 20)
𝋱·𝋩·𝋳·𝋤
Chinese
一十三萬九千九百八十四
Chinese (financial)
壹拾參萬玖仟玖佰捌拾肆
In other modern scripts
Eastern Arabic ١٣٩٩٨٤ Devanagari १३९९८४ Bengali ১৩৯৯৮৪ Tamil ௧௩௯௯௮௪ Thai ๑๓๙๙๘๔ Tibetan ༡༣༩༩༨༤ Khmer ១៣៩៩៨៤ Lao ໑໓໙໙໘໔ Burmese ၁၃၉၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 139984, here are decompositions:

  • 3 + 139981 = 139984
  • 17 + 139967 = 139984
  • 41 + 139943 = 139984
  • 83 + 139901 = 139984
  • 101 + 139883 = 139984
  • 113 + 139871 = 139984
  • 197 + 139787 = 139984
  • 263 + 139721 = 139984

Showing the first eight; more decompositions exist.

Unicode codepoint
𢋐
CJK Unified Ideograph-222D0
U+222D0
Other letter (Lo)

UTF-8 encoding: F0 A2 8B 90 (4 bytes).

Hex color
#0222D0
RGB(2, 34, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.34.208.

Address
0.2.34.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.34.208

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 139,984 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 139984 first appears in π at position 492,829 of the decimal expansion (the 492,829ordinal-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