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122,564

122,564 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.).

122,564 (one hundred twenty-two thousand five hundred sixty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 13 × 2,357. Written other ways, in hexadecimal, 0x1DEC4.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
480
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
465,221
Square (n²)
15,021,934,096
Cube (n³)
1,841,148,330,542,144
Divisor count
12
σ(n) — sum of divisors
231,084
φ(n) — Euler's totient
56,544
Sum of prime factors
2,374

Primality

Prime factorization: 2 2 × 13 × 2357

Nearest primes: 122,561 (−3) · 122,579 (+15)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 13 · 26 · 52 · 2357 · 4714 · 9428 · 30641 · 61282 (half) · 122564
Aliquot sum (sum of proper divisors): 108,520
Factor pairs (a × b = 122,564)
1 × 122564
2 × 61282
4 × 30641
13 × 9428
26 × 4714
52 × 2357
First multiples
122,564 · 245,128 (double) · 367,692 · 490,256 · 612,820 · 735,384 · 857,948 · 980,512 · 1,103,076 · 1,225,640

Sums & aliquot sequence

As a sum of two squares: 8² + 350² = 142² + 320²
As consecutive integers: 15,317 + 15,318 + … + 15,324 9,422 + 9,423 + … + 9,434 1,127 + 1,128 + … + 1,230
Aliquot sequence: 122,564 108,520 135,740 175,732 131,806 69,434 35,866 18,854 12,034 7,694 3,850 5,078 2,542 1,490 1,210 1,184 1,210 — enters a cycle

Continued fraction of √n

√122,564 = [350; (10, 1, 15, 2, 1, 2, 19, 1, 1, 1, 2, 2, 6, 1, 1, 2, 1, 1, 2, 3, 2, 12, 1, 3, …)]

Representations

In words
one hundred twenty-two thousand five hundred sixty-four
Ordinal
122564th
Binary
11101111011000100
Octal
357304
Hexadecimal
0x1DEC4
Base64
Ad7E
One's complement
4,294,844,731 (32-bit)
Scientific notation
1.22564 × 10⁵
As a duration
122,564 s = 1 day, 10 hours, 2 minutes, 44 seconds
In other bases
ternary (3) 20020010102
quaternary (4) 131323010
quinary (5) 12410224
senary (6) 2343232
septenary (7) 1020221
nonary (9) 206112
undecimal (11) 840a2
duodecimal (12) 5ab18
tridecimal (13) 43a30
tetradecimal (14) 32948
pentadecimal (15) 264ae

As an angle

122,564° = 340 × 360° + 164°
164° ≈ 2.862 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβφξδʹ
Mayan (base 20)
𝋯·𝋦·𝋨·𝋤
Chinese
一十二萬二千五百六十四
Chinese (financial)
壹拾貳萬貳仟伍佰陸拾肆
In other modern scripts
Eastern Arabic ١٢٢٥٦٤ Devanagari १२२५६४ Bengali ১২২৫৬৪ Tamil ௧௨௨௫௬௪ Thai ๑๒๒๕๖๔ Tibetan ༡༢༢༥༦༤ Khmer ១២២៥៦៤ Lao ໑໒໒໕໖໔ Burmese ၁၂၂၅၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122564, here are decompositions:

  • 3 + 122561 = 122564
  • 7 + 122557 = 122564
  • 31 + 122533 = 122564
  • 37 + 122527 = 122564
  • 61 + 122503 = 122564
  • 67 + 122497 = 122564
  • 163 + 122401 = 122564
  • 241 + 122323 = 122564

Showing the first eight; more decompositions exist.

Hex color
#01DEC4
RGB(1, 222, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.196.

Address
0.1.222.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.196

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 122,564 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 122564 first appears in π at position 385,333 of the decimal expansion (the 385,333ordinal-suffix:rd 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.