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127,104

127,104 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.).

127,104 (one hundred twenty-seven thousand one hundred four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 3 × 331. Its proper divisors sum to 211,536, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F080.

Abundant Number Evil Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
401,721
Recamán's sequence
a(499,159) = 127,104
Square (n²)
16,155,426,816
Cube (n³)
2,053,419,370,020,864
Divisor count
32
σ(n) — sum of divisors
338,640
φ(n) — Euler's totient
42,240
Sum of prime factors
348

Primality

Prime factorization: 2 7 × 3 × 331

Nearest primes: 127,103 (−1) · 127,123 (+19)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 64 · 96 · 128 · 192 · 331 · 384 · 662 · 993 · 1324 · 1986 · 2648 · 3972 · 5296 · 7944 · 10592 · 15888 · 21184 · 31776 · 42368 · 63552 (half) · 127104
Aliquot sum (sum of proper divisors): 211,536
Factor pairs (a × b = 127,104)
1 × 127104
2 × 63552
3 × 42368
4 × 31776
6 × 21184
8 × 15888
12 × 10592
16 × 7944
24 × 5296
32 × 3972
48 × 2648
64 × 1986
96 × 1324
128 × 993
192 × 662
331 × 384
First multiples
127,104 · 254,208 (double) · 381,312 · 508,416 · 635,520 · 762,624 · 889,728 · 1,016,832 · 1,143,936 · 1,271,040

Sums & aliquot sequence

As consecutive integers: 42,367 + 42,368 + 42,369 369 + 370 + … + 624 219 + 220 + … + 549
Aliquot sequence: 127,104 211,536 431,652 653,404 490,060 553,220 622,780 685,100 1,064,788 867,590 711,370 740,150 659,314 329,660 377,956 294,744 442,176 — unresolved within range

Continued fraction of √n

√127,104 = [356; (1, 1, 14, 1, 2, 28, 5, 1, 1, 6, 1, 1, 2, 2, 3, 2, 1, 1, 1, 177, 1, 1, 1, 2, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-seven thousand one hundred four
Ordinal
127104th
Binary
11111000010000000
Octal
370200
Hexadecimal
0x1F080
Base64
AfCA
One's complement
4,294,840,191 (32-bit)
Scientific notation
1.27104 × 10⁵
As a duration
127,104 s = 1 day, 11 hours, 18 minutes, 24 seconds
In other bases
ternary (3) 20110100120
quaternary (4) 133002000
quinary (5) 13031404
senary (6) 2420240
septenary (7) 1036365
nonary (9) 213316
undecimal (11) 8754a
duodecimal (12) 61680
tridecimal (13) 45b13
tetradecimal (14) 3446c
pentadecimal (15) 279d9

As an angle

127,104° = 353 × 360° + 24°
24° ≈ 0.419 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκζρδʹ
Mayan (base 20)
𝋯·𝋱·𝋯·𝋤
Chinese
一十二萬七千一百零四
Chinese (financial)
壹拾貳萬柒仟壹佰零肆
In other modern scripts
Eastern Arabic ١٢٧١٠٤ Devanagari १२७१०४ Bengali ১২৭১০৪ Tamil ௧௨௭௧௦௪ Thai ๑๒๗๑๐๔ Tibetan ༡༢༧༡༠༤ Khmer ១២៧១០៤ Lao ໑໒໗໑໐໔ Burmese ၁၂၇၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 127104, here are decompositions:

  • 23 + 127081 = 127104
  • 53 + 127051 = 127104
  • 67 + 127037 = 127104
  • 71 + 127033 = 127104
  • 73 + 127031 = 127104
  • 137 + 126967 = 127104
  • 181 + 126923 = 127104
  • 191 + 126913 = 127104

Showing the first eight; more decompositions exist.

Unicode codepoint
🂀
Domino Tile Vertical-04-01
U+1F080
Other symbol (So)

UTF-8 encoding: F0 9F 82 80 (4 bytes).

Hex color
#01F080
RGB(1, 240, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.240.128.

Address
0.1.240.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.240.128

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 127,104 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 127104 first appears in π at position 382,201 of the decimal expansion (the 382,201ordinal-suffix:st 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°.