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997,272

997,272 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.).

997,272 (nine hundred ninety-seven thousand two hundred seventy-two) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2³ × 3⁸ × 19. Its proper divisors sum to 1,955,028, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3798.

Abundant Number Evil Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
15,876
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
272,799
Square (n²)
994,551,441,984
Cube (n³)
991,838,305,650,267,648
Divisor count
72
σ(n) — sum of divisors
2,952,300
φ(n) — Euler's totient
314,928
Sum of prime factors
49

Primality

Prime factorization: 2 3 × 3 8 × 19

Nearest primes: 997,267 (−5) · 997,273 (+1)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 19 · 24 · 27 · 36 · 38 · 54 · 57 · 72 · 76 · 81 · 108 · 114 · 152 · 162 · 171 · 216 · 228 · 243 · 324 · 342 · 456 · 486 · 513 · 648 · 684 · 729 · 972 · 1026 · 1368 · 1458 · 1539 · 1944 · 2052 · 2187 · 2916 · 3078 · 4104 · 4374 · 4617 · 5832 · 6156 · 6561 · 8748 · 9234 · 12312 · 13122 · 13851 · 17496 · 18468 · 26244 · 27702 · 36936 · 41553 · 52488 · 55404 · 83106 · 110808 · 124659 · 166212 · 249318 · 332424 · 498636 (half) · 997272
Aliquot sum (sum of proper divisors): 1,955,028
Factor pairs (a × b = 997,272)
1 × 997272
2 × 498636
3 × 332424
4 × 249318
6 × 166212
8 × 124659
9 × 110808
12 × 83106
18 × 55404
19 × 52488
24 × 41553
27 × 36936
36 × 27702
38 × 26244
54 × 18468
57 × 17496
72 × 13851
76 × 13122
81 × 12312
108 × 9234
114 × 8748
152 × 6561
162 × 6156
171 × 5832
216 × 4617
228 × 4374
243 × 4104
324 × 3078
342 × 2916
456 × 2187
486 × 2052
513 × 1944
648 × 1539
684 × 1458
729 × 1368
972 × 1026
First multiples
997,272 · 1,994,544 (double) · 2,991,816 · 3,989,088 · 4,986,360 · 5,983,632 · 6,980,904 · 7,978,176 · 8,975,448 · 9,972,720

Sums & aliquot sequence

As consecutive integers: 332,423 + 332,424 + 332,425 110,804 + 110,805 + … + 110,812 62,322 + 62,323 + … + 62,337 52,479 + 52,480 + … + 52,497
Aliquot sequence: 997,272 1,955,028 2,635,404 3,726,756 6,816,924 11,166,132 16,085,708 12,064,288 13,536,896 15,022,084 21,749,756 24,040,324 29,061,116 31,009,132 37,518,740 54,972,652 54,972,708 — unresolved within range

Continued fraction of √n

√997,272 = [998; (1, 1, 1, 2, 1, 5, 1, 1, 1, 7, 1, 23, 1, 3, 2, 2, 3, 2, 1, 1, 1, 2, 9, 24, …)]

Representations

In words
nine hundred ninety-seven thousand two hundred seventy-two
Ordinal
997272nd
Binary
11110011011110011000
Octal
3633630
Hexadecimal
0xF3798
Base64
DzeY
One's complement
4,293,970,023 (32-bit)
Scientific notation
9.97272 × 10⁵
As a duration
997,272 s = 11 days, 13 hours, 1 minute, 12 seconds
In other bases
ternary (3) 1212200000000
quaternary (4) 3303132120
quinary (5) 223403042
senary (6) 33213000
septenary (7) 11322333
nonary (9) 1780000
undecimal (11) 6212a1
duodecimal (12) 401160
tridecimal (13) 28bc03
tetradecimal (14) 1bd61a
pentadecimal (15) 14a74c

As an angle

997,272° = 2,770 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ϡϟζσοβʹ
Chinese
九十九萬七千二百七十二
Chinese (financial)
玖拾玖萬柒仟貳佰柒拾貳
In other modern scripts
Eastern Arabic ٩٩٧٢٧٢ Devanagari ९९७२७२ Bengali ৯৯৭২৭২ Tamil ௯௯௭௨௭௨ Thai ๙๙๗๒๗๒ Tibetan ༩༩༧༢༧༢ Khmer ៩៩៧២៧២ Lao ໙໙໗໒໗໒ Burmese ၉၉၇၂၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 997272, here are decompositions:

  • 5 + 997267 = 997272
  • 13 + 997259 = 997272
  • 53 + 997219 = 997272
  • 71 + 997201 = 997272
  • 109 + 997163 = 997272
  • 131 + 997141 = 997272
  • 149 + 997123 = 997272
  • 151 + 997121 = 997272

Showing the first eight; more decompositions exist.

Hex color
#0F3798
RGB(15, 55, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.55.152.

Address
0.15.55.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.55.152

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 997,272 and was likely granted around 1911.

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

Related reading

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