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136,972

136,972 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.).

136,972 (one hundred thirty-six thousand nine hundred seventy-two) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 11² × 283. Written other ways, in hexadecimal, 0x2170C.

Cube-Free Deficient Number Odious Number Pernicious Number Self Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
2,268
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
279,631
Square (n²)
18,761,328,784
Cube (n³)
2,569,776,726,202,048
Divisor count
18
σ(n) — sum of divisors
264,404
φ(n) — Euler's totient
62,040
Sum of prime factors
309

Primality

Prime factorization: 2 2 × 11 2 × 283

Nearest primes: 136,963 (−9) · 136,973 (+1)

Divisors & multiples

All divisors (18)
1 · 2 · 4 · 11 · 22 · 44 · 121 · 242 · 283 · 484 · 566 · 1132 · 3113 · 6226 · 12452 · 34243 · 68486 (half) · 136972
Aliquot sum (sum of proper divisors): 127,432
Factor pairs (a × b = 136,972)
1 × 136972
2 × 68486
4 × 34243
11 × 12452
22 × 6226
44 × 3113
121 × 1132
242 × 566
283 × 484
First multiples
136,972 · 273,944 (double) · 410,916 · 547,888 · 684,860 · 821,832 · 958,804 · 1,095,776 · 1,232,748 · 1,369,720

Sums & aliquot sequence

As consecutive integers: 17,118 + 17,119 + … + 17,125 12,447 + 12,448 + … + 12,457 1,513 + 1,514 + … + 1,600 1,072 + 1,073 + … + 1,192
Aliquot sequence: 136,972 127,432 125,828 97,612 80,804 60,610 68,990 55,210 44,186 22,096 20,746 15,542 9,058 6,494 3,874 2,426 1,216 — unresolved within range

Continued fraction of √n

√136,972 = [370; (10, 3, 1, 1, 2, 1, 1, 8, 1, 1, 3, 1, 9, 1, 1, 184, 1, 1, 9, 1, 3, 1, 1, 8, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand nine hundred seventy-two
Ordinal
136972nd
Binary
100001011100001100
Octal
413414
Hexadecimal
0x2170C
Base64
AhcM
One's complement
4,294,830,323 (32-bit)
Scientific notation
1.36972 × 10⁵
As a duration
136,972 s = 1 day, 14 hours, 2 minutes, 52 seconds
In other bases
ternary (3) 20221220001
quaternary (4) 201130030
quinary (5) 13340342
senary (6) 2534044
septenary (7) 1110223
nonary (9) 227801
undecimal (11) 93a00
duodecimal (12) 67324
tridecimal (13) 4a464
tetradecimal (14) 37cba
pentadecimal (15) 2a8b7

As an angle

136,972° = 380 × 360° + 172°
172° ≈ 3.002 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλϛϡοβʹ
Mayan (base 20)
𝋱·𝋢·𝋨·𝋬
Chinese
一十三萬六千九百七十二
Chinese (financial)
壹拾參萬陸仟玖佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٦٩٧٢ Devanagari १३६९७२ Bengali ১৩৬৯৭২ Tamil ௧௩௬௯௭௨ Thai ๑๓๖๙๗๒ Tibetan ༡༣༦༩༧༢ Khmer ១៣៦៩៧២ Lao ໑໓໖໙໗໒ Burmese ၁၃၆၉၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136972, here are decompositions:

  • 23 + 136949 = 136972
  • 29 + 136943 = 136972
  • 83 + 136889 = 136972
  • 89 + 136883 = 136972
  • 113 + 136859 = 136972
  • 131 + 136841 = 136972
  • 233 + 136739 = 136972
  • 239 + 136733 = 136972

Showing the first eight; more decompositions exist.

Unicode codepoint
𡜌
CJK Unified Ideograph-2170C
U+2170C
Other letter (Lo)

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

Hex color
#02170C
RGB(2, 23, 12)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.12.

Address
0.2.23.12
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.12

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 136,972 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading