number.wiki
Live analysis

126,672

126,672 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.).

126,672 (one hundred twenty-six thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 7 × 13 × 29. Its proper divisors sum to 289,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1EED0.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,008
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
276,621
Square (n²)
16,045,795,584
Cube (n³)
2,032,553,018,216,448
Divisor count
80
σ(n) — sum of divisors
416,640
φ(n) — Euler's totient
32,256
Sum of prime factors
60

Primality

Prime factorization: 2 4 × 3 × 7 × 13 × 29

Nearest primes: 126,653 (−19) · 126,683 (+11)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 13 · 14 · 16 · 21 · 24 · 26 · 28 · 29 · 39 · 42 · 48 · 52 · 56 · 58 · 78 · 84 · 87 · 91 · 104 · 112 · 116 · 156 · 168 · 174 · 182 · 203 · 208 · 232 · 273 · 312 · 336 · 348 · 364 · 377 · 406 · 464 · 546 · 609 · 624 · 696 · 728 · 754 · 812 · 1092 · 1131 · 1218 · 1392 · 1456 · 1508 · 1624 · 2184 · 2262 · 2436 · 2639 · 3016 · 3248 · 4368 · 4524 · 4872 · 5278 · 6032 · 7917 · 9048 · 9744 · 10556 · 15834 · 18096 · 21112 · 31668 · 42224 · 63336 (half) · 126672
Aliquot sum (sum of proper divisors): 289,968
Factor pairs (a × b = 126,672)
1 × 126672
2 × 63336
3 × 42224
4 × 31668
6 × 21112
7 × 18096
8 × 15834
12 × 10556
13 × 9744
14 × 9048
16 × 7917
21 × 6032
24 × 5278
26 × 4872
28 × 4524
29 × 4368
39 × 3248
42 × 3016
48 × 2639
52 × 2436
56 × 2262
58 × 2184
78 × 1624
84 × 1508
87 × 1456
91 × 1392
104 × 1218
112 × 1131
116 × 1092
156 × 812
168 × 754
174 × 728
182 × 696
203 × 624
208 × 609
232 × 546
273 × 464
312 × 406
336 × 377
348 × 364
First multiples
126,672 · 253,344 (double) · 380,016 · 506,688 · 633,360 · 760,032 · 886,704 · 1,013,376 · 1,140,048 · 1,266,720

Sums & aliquot sequence

As consecutive integers: 42,223 + 42,224 + 42,225 18,093 + 18,094 + … + 18,099 9,738 + 9,739 + … + 9,750 6,022 + 6,023 + … + 6,042
Aliquot sequence: 126,672 289,968 567,120 1,307,760 2,747,040 6,143,520 13,210,080 33,782,880 72,634,704 117,656,688 186,783,648 304,324,032 500,867,144 439,733,476 512,995,868 606,268,516 614,999,644 — unresolved within range

Continued fraction of √n

√126,672 = [355; (1, 10, 8, 10, 1, 710)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-six thousand six hundred seventy-two
Ordinal
126672nd
Binary
11110111011010000
Octal
367320
Hexadecimal
0x1EED0
Base64
Ae7Q
One's complement
4,294,840,623 (32-bit)
Scientific notation
1.26672 × 10⁵
As a duration
126,672 s = 1 day, 11 hours, 11 minutes, 12 seconds
In other bases
ternary (3) 20102202120
quaternary (4) 132323100
quinary (5) 13023142
senary (6) 2414240
septenary (7) 1035210
nonary (9) 212676
undecimal (11) 87197
duodecimal (12) 61380
tridecimal (13) 45870
tetradecimal (14) 34240
pentadecimal (15) 277ec

As an angle

126,672° = 351 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκϛχοβʹ
Mayan (base 20)
𝋯·𝋰·𝋭·𝋬
Chinese
一十二萬六千六百七十二
Chinese (financial)
壹拾貳萬陸仟陸佰柒拾貳
In other modern scripts
Eastern Arabic ١٢٦٦٧٢ Devanagari १२६६७२ Bengali ১২৬৬৭২ Tamil ௧௨௬௬௭௨ Thai ๑๒๖๖๗๒ Tibetan ༡༢༦༦༧༢ Khmer ១២៦៦៧២ Lao ໑໒໖໖໗໒ Burmese ၁၂၆၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 126672, here are decompositions:

  • 19 + 126653 = 126672
  • 31 + 126641 = 126672
  • 41 + 126631 = 126672
  • 59 + 126613 = 126672
  • 61 + 126611 = 126672
  • 71 + 126601 = 126672
  • 89 + 126583 = 126672
  • 131 + 126541 = 126672

Showing the first eight; more decompositions exist.

Hex color
#01EED0
RGB(1, 238, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.238.208.

Address
0.1.238.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.238.208

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 126,672 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 126672 first appears in π at position 42,478 of the decimal expansion (the 42,478ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.