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120,726

120,726 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.).

120,726 (one hundred twenty thousand seven hundred twenty-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 19 × 353. Its proper divisors sum to 155,394, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D796.

Abundant Number Arithmetic Number Cube-Free Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
627,021
Square (n²)
14,574,767,076
Cube (n³)
1,759,553,330,017,176
Divisor count
24
σ(n) — sum of divisors
276,120
φ(n) — Euler's totient
38,016
Sum of prime factors
380

Primality

Prime factorization: 2 × 3 2 × 19 × 353

Nearest primes: 120,721 (−5) · 120,737 (+11)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 18 · 19 · 38 · 57 · 114 · 171 · 342 · 353 · 706 · 1059 · 2118 · 3177 · 6354 · 6707 · 13414 · 20121 · 40242 · 60363 (half) · 120726
Aliquot sum (sum of proper divisors): 155,394
Factor pairs (a × b = 120,726)
1 × 120726
2 × 60363
3 × 40242
6 × 20121
9 × 13414
18 × 6707
19 × 6354
38 × 3177
57 × 2118
114 × 1059
171 × 706
342 × 353
First multiples
120,726 · 241,452 (double) · 362,178 · 482,904 · 603,630 · 724,356 · 845,082 · 965,808 · 1,086,534 · 1,207,260

Sums & aliquot sequence

As consecutive integers: 40,241 + 40,242 + 40,243 30,180 + 30,181 + 30,182 + 30,183 13,410 + 13,411 + … + 13,418 10,055 + 10,056 + … + 10,066
Aliquot sequence: 120,726 155,394 188,586 220,056 343,704 515,616 881,472 1,451,264 1,446,106 723,056 677,896 593,174 296,590 348,530 425,614 341,834 178,774 — unresolved within range

Continued fraction of √n

√120,726 = [347; (2, 5, 4, 9, 3, 1, 1, 3, 6, 1, 4, 3, 1, 1, 23, 2, 1, 1, 7, 2, 13, 2, 3, 36, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand seven hundred twenty-six
Ordinal
120726th
Binary
11101011110010110
Octal
353626
Hexadecimal
0x1D796
Base64
AdeW
One's complement
4,294,846,569 (32-bit)
Scientific notation
1.20726 × 10⁵
As a duration
120,726 s = 1 day, 9 hours, 32 minutes, 6 seconds
In other bases
ternary (3) 20010121100
quaternary (4) 131132112
quinary (5) 12330401
senary (6) 2330530
septenary (7) 1011654
nonary (9) 203540
undecimal (11) 82781
duodecimal (12) 59a46
tridecimal (13) 42c48
tetradecimal (14) 31dd4
pentadecimal (15) 25b86

As an angle

120,726° = 335 × 360° + 126°
126° ≈ 2.199 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκψκϛʹ
Mayan (base 20)
𝋯·𝋡·𝋰·𝋦
Chinese
一十二萬零七百二十六
Chinese (financial)
壹拾貳萬零柒佰貳拾陸
In other modern scripts
Eastern Arabic ١٢٠٧٢٦ Devanagari १२०७२६ Bengali ১২০৭২৬ Tamil ௧௨௦௭௨௬ Thai ๑๒๐๗๒๖ Tibetan ༡༢༠༧༢༦ Khmer ១២០៧២៦ Lao ໑໒໐໗໒໖ Burmese ၁၂၀၇၂၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120726, here are decompositions:

  • 5 + 120721 = 120726
  • 13 + 120713 = 120726
  • 17 + 120709 = 120726
  • 37 + 120689 = 120726
  • 79 + 120647 = 120726
  • 103 + 120623 = 120726
  • 107 + 120619 = 120726
  • 139 + 120587 = 120726

Showing the first eight; more decompositions exist.

Unicode codepoint
𝞖
Mathematical Sans-Serif Bold Italic Capital Eta
U+1D796
Uppercase letter (Lu)

UTF-8 encoding: F0 9D 9E 96 (4 bytes).

Hex color
#01D796
RGB(1, 215, 150)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.150.

Address
0.1.215.150
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.215.150

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 120,726 and was likely granted around 1871.

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

Position in π

The digit sequence 120726 first appears in π at position 94,229 of the decimal expansion (the 94,229ordinal-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°.