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972,660

972,660 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.).

972,660 (nine hundred seventy-two thousand six hundred sixty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2² × 3 × 5 × 13 × 29 × 43. Its proper divisors sum to 2,131,980, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xED774.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
66,279
Square (n²)
946,067,475,600
Cube (n³)
920,201,990,817,096,000
Divisor count
96
σ(n) — sum of divisors
3,104,640
φ(n) — Euler's totient
225,792
Sum of prime factors
97

Primality

Prime factorization: 2 2 × 3 × 5 × 13 × 29 × 43

Nearest primes: 972,649 (−11) · 972,661 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 13 · 15 · 20 · 26 · 29 · 30 · 39 · 43 · 52 · 58 · 60 · 65 · 78 · 86 · 87 · 116 · 129 · 130 · 145 · 156 · 172 · 174 · 195 · 215 · 258 · 260 · 290 · 348 · 377 · 390 · 430 · 435 · 516 · 559 · 580 · 645 · 754 · 780 · 860 · 870 · 1118 · 1131 · 1247 · 1290 · 1508 · 1677 · 1740 · 1885 · 2236 · 2262 · 2494 · 2580 · 2795 · 3354 · 3741 · 3770 · 4524 · 4988 · 5590 · 5655 · 6235 · 6708 · 7482 · 7540 · 8385 · 11180 · 11310 · 12470 · 14964 · 16211 · 16770 · 18705 · 22620 · 24940 · 32422 · 33540 · 37410 · 48633 · 64844 · 74820 · 81055 · 97266 · 162110 · 194532 · 243165 · 324220 · 486330 (half) · 972660
Aliquot sum (sum of proper divisors): 2,131,980
Factor pairs (a × b = 972,660)
1 × 972660
2 × 486330
3 × 324220
4 × 243165
5 × 194532
6 × 162110
10 × 97266
12 × 81055
13 × 74820
15 × 64844
20 × 48633
26 × 37410
29 × 33540
30 × 32422
39 × 24940
43 × 22620
52 × 18705
58 × 16770
60 × 16211
65 × 14964
78 × 12470
86 × 11310
87 × 11180
116 × 8385
129 × 7540
130 × 7482
145 × 6708
156 × 6235
172 × 5655
174 × 5590
195 × 4988
215 × 4524
258 × 3770
260 × 3741
290 × 3354
348 × 2795
377 × 2580
390 × 2494
430 × 2262
435 × 2236
516 × 1885
559 × 1740
580 × 1677
645 × 1508
754 × 1290
780 × 1247
860 × 1131
870 × 1118
First multiples
972,660 · 1,945,320 (double) · 2,917,980 · 3,890,640 · 4,863,300 · 5,835,960 · 6,808,620 · 7,781,280 · 8,753,940 · 9,726,600

Sums & aliquot sequence

As consecutive integers: 324,219 + 324,220 + 324,221 194,530 + 194,531 + 194,532 + 194,533 + 194,534 121,579 + 121,580 + … + 121,586 74,814 + 74,815 + … + 74,826
Aliquot sequence: 972,660 2,131,980 3,837,732 5,117,004 8,500,236 11,333,676 15,111,596 11,333,704 9,917,006 6,509,362 3,768,638 2,022,322 1,180,364 892,924 809,476 681,804 1,132,596 — unresolved within range

Continued fraction of √n

√972,660 = [986; (4, 3, 1, 122, 1, 1, 16, 1, 1, 122, 1, 3, 4, 1972)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
nine hundred seventy-two thousand six hundred sixty
Ordinal
972660th
Binary
11101101011101110100
Octal
3553564
Hexadecimal
0xED774
Base64
Dtd0
One's complement
4,293,994,635 (32-bit)
Scientific notation
9.7266 × 10⁵
As a duration
972,660 s = 11 days, 6 hours, 11 minutes
In other bases
ternary (3) 1211102020110
quaternary (4) 3231131310
quinary (5) 222111120
senary (6) 32503020
septenary (7) 11160513
nonary (9) 1742213
undecimal (11) 604857
duodecimal (12) 3aaa70
tridecimal (13) 280950
tetradecimal (14) 1b467a
pentadecimal (15) 1432e0

As an angle

972,660° = 2,701 × 360° + 300°
300° ≈ 5.236 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ϡοβχξʹ
Chinese
九十七萬二千六百六十
Chinese (financial)
玖拾柒萬貳仟陸佰陸拾
In other modern scripts
Eastern Arabic ٩٧٢٦٦٠ Devanagari ९७२६६० Bengali ৯৭২৬৬০ Tamil ௯௭௨௬௬௦ Thai ๙๗๒๖๖๐ Tibetan ༩༧༢༦༦༠ Khmer ៩៧២៦៦០ Lao ໙໗໒໖໖໐ Burmese ၉၇၂၆၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 972660, here are decompositions:

  • 11 + 972649 = 972660
  • 23 + 972637 = 972660
  • 37 + 972623 = 972660
  • 47 + 972613 = 972660
  • 61 + 972599 = 972660
  • 79 + 972581 = 972660
  • 83 + 972577 = 972660
  • 103 + 972557 = 972660

Showing the first eight; more decompositions exist.

Hex color
#0ED774
RGB(14, 215, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.215.116.

Address
0.14.215.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.215.116

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 972,660 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 972660 first appears in π at position 89,262 of the decimal expansion (the 89,262ordinal-suffix:nd 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°.