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127,072

127,072 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.).

127,072 (one hundred twenty-seven thousand seventy-two) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 11 × 19². Its proper divisors sum to 160,964, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F060.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
270,721
Recamán's sequence
a(499,223) = 127,072
Square (n²)
16,147,293,184
Cube (n³)
2,051,868,839,477,248
Divisor count
36
σ(n) — sum of divisors
288,036
φ(n) — Euler's totient
54,720
Sum of prime factors
59

Primality

Prime factorization: 2 5 × 11 × 19 2

Nearest primes: 127,051 (−21) · 127,079 (+7)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 8 · 11 · 16 · 19 · 22 · 32 · 38 · 44 · 76 · 88 · 152 · 176 · 209 · 304 · 352 · 361 · 418 · 608 · 722 · 836 · 1444 · 1672 · 2888 · 3344 · 3971 · 5776 · 6688 · 7942 · 11552 · 15884 · 31768 · 63536 (half) · 127072
Aliquot sum (sum of proper divisors): 160,964
Factor pairs (a × b = 127,072)
1 × 127072
2 × 63536
4 × 31768
8 × 15884
11 × 11552
16 × 7942
19 × 6688
22 × 5776
32 × 3971
38 × 3344
44 × 2888
76 × 1672
88 × 1444
152 × 836
176 × 722
209 × 608
304 × 418
352 × 361
First multiples
127,072 · 254,144 (double) · 381,216 · 508,288 · 635,360 · 762,432 · 889,504 · 1,016,576 · 1,143,648 · 1,270,720

Sums & aliquot sequence

As consecutive integers: 11,547 + 11,548 + … + 11,557 6,679 + 6,680 + … + 6,697 1,954 + 1,955 + … + 2,017 504 + 505 + … + 712
Aliquot sequence: 127,072 160,964 120,730 96,602 61,510 49,226 25,558 15,770 14,470 11,594 9,142 6,554 3,706 2,234 1,120 1,904 2,560 — unresolved within range

Continued fraction of √n

√127,072 = [356; (2, 8, 3, 3, 4, 2, 2, 1, 1, 1, 3, 3, 1, 3, 2, 4, 1, 3, 4, 1, 2, 1, 1, 1, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-seven thousand seventy-two
Ordinal
127072nd
Binary
11111000001100000
Octal
370140
Hexadecimal
0x1F060
Base64
AfBg
One's complement
4,294,840,223 (32-bit)
Scientific notation
1.27072 × 10⁵
As a duration
127,072 s = 1 day, 11 hours, 17 minutes, 52 seconds
In other bases
ternary (3) 20110022101
quaternary (4) 133001200
quinary (5) 13031242
senary (6) 2420144
septenary (7) 1036321
nonary (9) 213271
undecimal (11) 87520
duodecimal (12) 61654
tridecimal (13) 45aba
tetradecimal (14) 34448
pentadecimal (15) 279b7

As an angle

127,072° = 352 × 360° + 352°
352° ≈ 6.144 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκζοβʹ
Mayan (base 20)
𝋯·𝋱·𝋭·𝋬
Chinese
一十二萬七千零七十二
Chinese (financial)
壹拾貳萬柒仟零柒拾貳
In other modern scripts
Eastern Arabic ١٢٧٠٧٢ Devanagari १२७०७२ Bengali ১২৭০৭২ Tamil ௧௨௭௦௭௨ Thai ๑๒๗๐๗๒ Tibetan ༡༢༧༠༧༢ Khmer ១២៧០៧២ Lao ໑໒໗໐໗໒ Burmese ၁၂၇၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 127072, here are decompositions:

  • 41 + 127031 = 127072
  • 83 + 126989 = 127072
  • 149 + 126923 = 127072
  • 233 + 126839 = 127072
  • 311 + 126761 = 127072
  • 353 + 126719 = 127072
  • 359 + 126713 = 127072
  • 389 + 126683 = 127072

Showing the first eight; more decompositions exist.

Unicode codepoint
🁠
Domino Tile Horizontal-06-05
U+1F060
Other symbol (So)

UTF-8 encoding: F0 9F 81 A0 (4 bytes).

Hex color
#01F060
RGB(1, 240, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.240.96.

Address
0.1.240.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.240.96

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 127,072 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