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118,972

118,972 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.).

118,972 (one hundred eighteen thousand nine hundred seventy-two) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 7² × 607. Its proper divisors sum to 123,620, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D0BC.

Abundant Number Cube-Free Harshad / Niven Odious Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
1,008
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
279,811
Recamán's sequence
a(242,152) = 118,972
Square (n²)
14,154,336,784
Cube (n³)
1,683,969,755,866,048
Divisor count
18
σ(n) — sum of divisors
242,592
φ(n) — Euler's totient
50,904
Sum of prime factors
625

Primality

Prime factorization: 2 2 × 7 2 × 607

Nearest primes: 118,967 (−5) · 118,973 (+1)

Divisors & multiples

All divisors (18)
1 · 2 · 4 · 7 · 14 · 28 · 49 · 98 · 196 · 607 · 1214 · 2428 · 4249 · 8498 · 16996 · 29743 · 59486 (half) · 118972
Aliquot sum (sum of proper divisors): 123,620
Factor pairs (a × b = 118,972)
1 × 118972
2 × 59486
4 × 29743
7 × 16996
14 × 8498
28 × 4249
49 × 2428
98 × 1214
196 × 607
First multiples
118,972 · 237,944 (double) · 356,916 · 475,888 · 594,860 · 713,832 · 832,804 · 951,776 · 1,070,748 · 1,189,720

Sums & aliquot sequence

As consecutive integers: 16,993 + 16,994 + … + 16,999 14,868 + 14,869 + … + 14,875 2,404 + 2,405 + … + 2,452 2,097 + 2,098 + … + 2,152
Aliquot sequence: 118,972 123,620 173,404 205,604 213,346 161,054 80,530 64,442 46,054 23,030 26,218 13,112 13,888 18,624 31,160 44,440 65,720 — unresolved within range

Continued fraction of √n

√118,972 = [344; (1, 12, 57, 2, 2, 3, 2, 76, 4, 1, 2, 8, 6, 3, 1, 2, 1, 3, 6, 8, 2, 1, 4, 76, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred eighteen thousand nine hundred seventy-two
Ordinal
118972nd
Binary
11101000010111100
Octal
350274
Hexadecimal
0x1D0BC
Base64
AdC8
One's complement
4,294,848,323 (32-bit)
Scientific notation
1.18972 × 10⁵
As a duration
118,972 s = 1 day, 9 hours, 2 minutes, 52 seconds
In other bases
ternary (3) 20001012101
quaternary (4) 131002330
quinary (5) 12301342
senary (6) 2314444
septenary (7) 1003600
nonary (9) 201171
undecimal (11) 81427
duodecimal (12) 58a24
tridecimal (13) 421c9
tetradecimal (14) 31500
pentadecimal (15) 253b7

As an angle

118,972° = 330 × 360° + 172°
172° ≈ 3.002 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ριηϡοβʹ
Mayan (base 20)
𝋮·𝋱·𝋨·𝋬
Chinese
一十一萬八千九百七十二
Chinese (financial)
壹拾壹萬捌仟玖佰柒拾貳
In other modern scripts
Eastern Arabic ١١٨٩٧٢ Devanagari ११८९७२ Bengali ১১৮৯৭২ Tamil ௧௧௮௯௭௨ Thai ๑๑๘๙๗๒ Tibetan ༡༡༨༩༧༢ Khmer ១១៨៩៧២ Lao ໑໑໘໙໗໒ Burmese ၁၁၈၉၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 118972, here are decompositions:

  • 5 + 118967 = 118972
  • 41 + 118931 = 118972
  • 59 + 118913 = 118972
  • 71 + 118901 = 118972
  • 173 + 118799 = 118972
  • 233 + 118739 = 118972
  • 263 + 118709 = 118972
  • 281 + 118691 = 118972

Showing the first eight; more decompositions exist.

Unicode codepoint
𝂼
Byzantine Musical Symbol Fthora Naos Ichos
U+1D0BC
Other symbol (So)

UTF-8 encoding: F0 9D 82 BC (4 bytes).

Hex color
#01D0BC
RGB(1, 208, 188)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.208.188.

Address
0.1.208.188
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.208.188

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 118,972 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 118972 first appears in π at position 407,639 of the decimal expansion (the 407,639ordinal-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