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972,842

972,842 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.).

972,842 (nine hundred seventy-two thousand eight hundred forty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 13 × 17 × 31 × 71. Written other ways, in hexadecimal, 0xED82A.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
32
Digit product
8,064
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
248,279
Recamán's sequence
a(315,791) = 972,842
Square (n²)
946,421,556,964
Cube (n³)
920,718,640,319,971,688
Divisor count
32
σ(n) — sum of divisors
1,741,824
φ(n) — Euler's totient
403,200
Sum of prime factors
134

Primality

Prime factorization: 2 × 13 × 17 × 31 × 71

Nearest primes: 972,833 (−9) · 972,847 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 13 · 17 · 26 · 31 · 34 · 62 · 71 · 142 · 221 · 403 · 442 · 527 · 806 · 923 · 1054 · 1207 · 1846 · 2201 · 2414 · 4402 · 6851 · 13702 · 15691 · 28613 · 31382 · 37417 · 57226 · 74834 · 486421 (half) · 972842
Aliquot sum (sum of proper divisors): 768,982
Factor pairs (a × b = 972,842)
1 × 972842
2 × 486421
13 × 74834
17 × 57226
26 × 37417
31 × 31382
34 × 28613
62 × 15691
71 × 13702
142 × 6851
221 × 4402
403 × 2414
442 × 2201
527 × 1846
806 × 1207
923 × 1054
First multiples
972,842 · 1,945,684 (double) · 2,918,526 · 3,891,368 · 4,864,210 · 5,837,052 · 6,809,894 · 7,782,736 · 8,755,578 · 9,728,420

Sums & aliquot sequence

As consecutive integers: 243,209 + 243,210 + 243,211 + 243,212 74,828 + 74,829 + … + 74,840 57,218 + 57,219 + … + 57,234 31,367 + 31,368 + … + 31,397
Aliquot sequence: 972,842 768,982 456,458 258,070 212,378 106,192 99,586 65,654 38,674 20,474 11,386 5,696 5,734 3,194 1,600 2,337 1,023 — unresolved within range

Continued fraction of √n

√972,842 = [986; (3, 18, 1, 4, 1, 1, 14, 1, 74, 1, 14, 1, 1, 4, 1, 18, 3, 1972)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
nine hundred seventy-two thousand eight hundred forty-two
Ordinal
972842nd
Binary
11101101100000101010
Octal
3554052
Hexadecimal
0xED82A
Base64
Dtgq
One's complement
4,293,994,453 (32-bit)
Scientific notation
9.72842 × 10⁵
As a duration
972,842 s = 11 days, 6 hours, 14 minutes, 2 seconds
In other bases
ternary (3) 1211102111012
quaternary (4) 3231200222
quinary (5) 222112332
senary (6) 32503522
septenary (7) 11161163
nonary (9) 1742435
undecimal (11) 604a02
duodecimal (12) 3aaba2
tridecimal (13) 280a60
tetradecimal (14) 1b476a
pentadecimal (15) 1433b2

As an angle

972,842° = 2,702 × 360° + 122°
122° ≈ 2.129 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ϡοβωμβʹ
Chinese
九十七萬二千八百四十二
Chinese (financial)
玖拾柒萬貳仟捌佰肆拾貳
In other modern scripts
Eastern Arabic ٩٧٢٨٤٢ Devanagari ९७२८४२ Bengali ৯৭২৮৪২ Tamil ௯௭௨௮௪௨ Thai ๙๗๒๘๔๒ Tibetan ༩༧༢༨༤༢ Khmer ៩៧២៨៤២ Lao ໙໗໒໘໔໒ Burmese ၉၇၂၈၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 972842, here are decompositions:

  • 19 + 972823 = 972842
  • 43 + 972799 = 972842
  • 163 + 972679 = 972842
  • 181 + 972661 = 972842
  • 193 + 972649 = 972842
  • 229 + 972613 = 972842
  • 349 + 972493 = 972842
  • 373 + 972469 = 972842

Showing the first eight; more decompositions exist.

Hex color
#0ED82A
RGB(14, 216, 42)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.216.42.

Address
0.14.216.42
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.216.42

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 972,842 and was likely granted around 1910.

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

Position in π

The digit sequence 972842 first appears in π at position 234,933 of the decimal expansion (the 234,933ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.