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122,706

122,706 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.).

122,706 (one hundred twenty-two thousand seven hundred six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 17 × 401. Its proper divisors sum to 159,498, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DF52.

Abundant Number Cube-Free Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence 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
607,221
Recamán's sequence
a(30,272) = 122,706
Square (n²)
15,056,762,436
Cube (n³)
1,847,555,091,471,816
Divisor count
24
σ(n) — sum of divisors
282,204
φ(n) — Euler's totient
38,400
Sum of prime factors
426

Primality

Prime factorization: 2 × 3 2 × 17 × 401

Nearest primes: 122,701 (−5) · 122,719 (+13)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 17 · 18 · 34 · 51 · 102 · 153 · 306 · 401 · 802 · 1203 · 2406 · 3609 · 6817 · 7218 · 13634 · 20451 · 40902 · 61353 (half) · 122706
Aliquot sum (sum of proper divisors): 159,498
Factor pairs (a × b = 122,706)
1 × 122706
2 × 61353
3 × 40902
6 × 20451
9 × 13634
17 × 7218
18 × 6817
34 × 3609
51 × 2406
102 × 1203
153 × 802
306 × 401
First multiples
122,706 · 245,412 (double) · 368,118 · 490,824 · 613,530 · 736,236 · 858,942 · 981,648 · 1,104,354 · 1,227,060

Sums & aliquot sequence

As a sum of two squares: 165² + 309² = 195² + 291²
As consecutive integers: 40,901 + 40,902 + 40,903 30,675 + 30,676 + 30,677 + 30,678 13,630 + 13,631 + … + 13,638 10,220 + 10,221 + … + 10,231
Aliquot sequence: 122,706 159,498 186,120 487,800 1,156,440 2,472,360 5,623,320 11,247,000 25,593,960 62,159,640 136,560,360 274,044,120 674,627,880 1,349,256,120 2,911,559,880 6,289,003,320 12,934,007,400 — keeps growing

Continued fraction of √n

√122,706 = [350; (3, 2, 1, 1, 77, 3, 1, 11, 1, 76, 1, 11, 1, 3, 77, 1, 1, 2, 3, 700)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand seven hundred six
Ordinal
122706th
Binary
11101111101010010
Octal
357522
Hexadecimal
0x1DF52
Base64
Ad9S
One's complement
4,294,844,589 (32-bit)
Scientific notation
1.22706 × 10⁵
As a duration
122,706 s = 1 day, 10 hours, 5 minutes, 6 seconds
In other bases
ternary (3) 20020022200
quaternary (4) 131331102
quinary (5) 12411311
senary (6) 2344030
septenary (7) 1020513
nonary (9) 206280
undecimal (11) 84211
duodecimal (12) 5b016
tridecimal (13) 43b0c
tetradecimal (14) 32a0a
pentadecimal (15) 26556

As an angle

122,706° = 340 × 360° + 306°
306° ≈ 5.341 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβψϛʹ
Mayan (base 20)
𝋯·𝋦·𝋯·𝋦
Chinese
一十二萬二千七百零六
Chinese (financial)
壹拾貳萬貳仟柒佰零陸
In other modern scripts
Eastern Arabic ١٢٢٧٠٦ Devanagari १२२७०६ Bengali ১২২৭০৬ Tamil ௧௨௨௭௦௬ Thai ๑๒๒๗๐๖ Tibetan ༡༢༢༧༠༦ Khmer ១២២៧០៦ Lao ໑໒໒໗໐໖ Burmese ၁၂၂၇၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122706, here are decompositions:

  • 5 + 122701 = 122706
  • 13 + 122693 = 122706
  • 43 + 122663 = 122706
  • 53 + 122653 = 122706
  • 97 + 122609 = 122706
  • 107 + 122599 = 122706
  • 109 + 122597 = 122706
  • 127 + 122579 = 122706

Showing the first eight; more decompositions exist.

Hex color
#01DF52
RGB(1, 223, 82)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.223.82.

Address
0.1.223.82
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.223.82

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 122,706 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 122706 first appears in π at position 407,912 of the decimal expansion (the 407,912ordinal-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°.