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122,972

122,972 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.).

122,972 (one hundred twenty-two thousand nine hundred seventy-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 71 × 433. Written other ways, in hexadecimal, 0x1E05C.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
504
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
279,221
Square (n²)
15,122,112,784
Cube (n³)
1,859,596,453,274,048
Divisor count
12
σ(n) — sum of divisors
218,736
φ(n) — Euler's totient
60,480
Sum of prime factors
508

Primality

Prime factorization: 2 2 × 71 × 433

Nearest primes: 122,971 (−1) · 123,001 (+29)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 71 · 142 · 284 · 433 · 866 · 1732 · 30743 · 61486 (half) · 122972
Aliquot sum (sum of proper divisors): 95,764
Factor pairs (a × b = 122,972)
1 × 122972
2 × 61486
4 × 30743
71 × 1732
142 × 866
284 × 433
First multiples
122,972 · 245,944 (double) · 368,916 · 491,888 · 614,860 · 737,832 · 860,804 · 983,776 · 1,106,748 · 1,229,720

Sums & aliquot sequence

As consecutive integers: 15,368 + 15,369 + … + 15,375 1,697 + 1,698 + … + 1,767 68 + 69 + … + 500
Aliquot sequence: 122,972 95,764 74,336 79,888 74,926 37,466 29,062 18,530 17,110 15,290 14,950 16,298 9,082 5,318 2,662 1,730 1,402 — unresolved within range

Continued fraction of √n

√122,972 = [350; (1, 2, 15, 1, 1, 1, 1, 5, 1, 4, 1, 18, 7, 1, 11, 87, 1, 1, 2, 2, 7, 1, 1, 4, …)]

Representations

In words
one hundred twenty-two thousand nine hundred seventy-two
Ordinal
122972nd
Binary
11110000001011100
Octal
360134
Hexadecimal
0x1E05C
Base64
AeBc
One's complement
4,294,844,323 (32-bit)
Scientific notation
1.22972 × 10⁵
As a duration
122,972 s = 1 day, 10 hours, 9 minutes, 32 seconds
In other bases
ternary (3) 20020200112
quaternary (4) 132001130
quinary (5) 12413342
senary (6) 2345152
septenary (7) 1021343
nonary (9) 206615
undecimal (11) 84433
duodecimal (12) 5b1b8
tridecimal (13) 43c85
tetradecimal (14) 32b5a
pentadecimal (15) 26682

As an angle

122,972° = 341 × 360° + 212°
212° ≈ 3.7 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκβϡοβʹ
Mayan (base 20)
𝋯·𝋧·𝋨·𝋬
Chinese
一十二萬二千九百七十二
Chinese (financial)
壹拾貳萬貳仟玖佰柒拾貳
In other modern scripts
Eastern Arabic ١٢٢٩٧٢ Devanagari १२२९७२ Bengali ১২২৯৭২ Tamil ௧௨௨௯௭௨ Thai ๑๒๒๙๗๒ Tibetan ༡༢༢༩༧༢ Khmer ១២២៩៧២ Lao ໑໒໒໙໗໒ Burmese ၁၂၂၉၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122972, here are decompositions:

  • 19 + 122953 = 122972
  • 43 + 122929 = 122972
  • 103 + 122869 = 122972
  • 139 + 122833 = 122972
  • 211 + 122761 = 122972
  • 229 + 122743 = 122972
  • 271 + 122701 = 122972
  • 373 + 122599 = 122972

Showing the first eight; more decompositions exist.

Unicode codepoint
𞁜
Cyrillic Subscript Small Letter O
U+1E05C
Modifier letter (Lm)

UTF-8 encoding: F0 9E 81 9C (4 bytes).

Hex color
#01E05C
RGB(1, 224, 92)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.224.92.

Address
0.1.224.92
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.224.92

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 122,972 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 122972 first appears in π at position 351,736 of the decimal expansion (the 351,736ordinal-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

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