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977,328

977,328 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.).

977,328 (nine hundred seventy-seven thousand three hundred twenty-eight) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 11 × 617. Its proper divisors sum to 2,011,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEE9B0.

Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
21,168
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
823,779
Square (n²)
955,170,019,584
Cube (n³)
933,514,404,899,991,552
Divisor count
60
σ(n) — sum of divisors
2,988,648
φ(n) — Euler's totient
295,680
Sum of prime factors
642

Primality

Prime factorization: 2 4 × 3 2 × 11 × 617

Nearest primes: 977,323 (−5) · 977,351 (+23)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 11 · 12 · 16 · 18 · 22 · 24 · 33 · 36 · 44 · 48 · 66 · 72 · 88 · 99 · 132 · 144 · 176 · 198 · 264 · 396 · 528 · 617 · 792 · 1234 · 1584 · 1851 · 2468 · 3702 · 4936 · 5553 · 6787 · 7404 · 9872 · 11106 · 13574 · 14808 · 20361 · 22212 · 27148 · 29616 · 40722 · 44424 · 54296 · 61083 · 81444 · 88848 · 108592 · 122166 · 162888 · 244332 · 325776 · 488664 (half) · 977328
Aliquot sum (sum of proper divisors): 2,011,320
Factor pairs (a × b = 977,328)
1 × 977328
2 × 488664
3 × 325776
4 × 244332
6 × 162888
8 × 122166
9 × 108592
11 × 88848
12 × 81444
16 × 61083
18 × 54296
22 × 44424
24 × 40722
33 × 29616
36 × 27148
44 × 22212
48 × 20361
66 × 14808
72 × 13574
88 × 11106
99 × 9872
132 × 7404
144 × 6787
176 × 5553
198 × 4936
264 × 3702
396 × 2468
528 × 1851
617 × 1584
792 × 1234
First multiples
977,328 · 1,954,656 (double) · 2,931,984 · 3,909,312 · 4,886,640 · 5,863,968 · 6,841,296 · 7,818,624 · 8,795,952 · 9,773,280

Sums & aliquot sequence

As consecutive integers: 325,775 + 325,776 + 325,777 108,588 + 108,589 + … + 108,596 88,843 + 88,844 + … + 88,853 30,526 + 30,527 + … + 30,557
Aliquot sequence: 977,328 2,011,320 4,746,600 11,795,310 18,872,730 31,455,270 80,519,130 136,845,990 228,077,370 400,285,638 552,047,562 876,859,830 2,239,387,722 3,655,813,590 7,511,074,506 10,751,079,222 — keeps growing

Continued fraction of √n

√977,328 = [988; (1, 1, 2, 39, 1, 19, 2, 2, 4, 2, 5, 5, 2, 3, 3, 1, 5, 5, 3, 3, 2, 2, 11, 2, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
nine hundred seventy-seven thousand three hundred twenty-eight
Ordinal
977328th
Binary
11101110100110110000
Octal
3564660
Hexadecimal
0xEE9B0
Base64
Dumw
One's complement
4,293,989,967 (32-bit)
Scientific notation
9.77328 × 10⁵
As a duration
977,328 s = 11 days, 7 hours, 28 minutes, 48 seconds
In other bases
ternary (3) 1211122122100
quaternary (4) 3232212300
quinary (5) 222233303
senary (6) 32540400
septenary (7) 11210232
nonary (9) 1748570
undecimal (11) 608310
duodecimal (12) 3b1700
tridecimal (13) 282b01
tetradecimal (14) 1b6252
pentadecimal (15) 1448a3

As an angle

977,328° = 2,714 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡοζτκηʹ
Chinese
九十七萬七千三百二十八
Chinese (financial)
玖拾柒萬柒仟參佰貳拾捌
In other modern scripts
Eastern Arabic ٩٧٧٣٢٨ Devanagari ९७७३२८ Bengali ৯৭৭৩২৮ Tamil ௯௭௭௩௨௮ Thai ๙๗๗๓๒๘ Tibetan ༩༧༧༣༢༨ Khmer ៩៧៧៣២៨ Lao ໙໗໗໓໒໘ Burmese ၉၇၇၃၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 977328, here are decompositions:

  • 5 + 977323 = 977328
  • 29 + 977299 = 977328
  • 59 + 977269 = 977328
  • 71 + 977257 = 977328
  • 89 + 977239 = 977328
  • 137 + 977191 = 977328
  • 179 + 977149 = 977328
  • 181 + 977147 = 977328

Showing the first eight; more decompositions exist.

Hex color
#0EE9B0
RGB(14, 233, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.233.176.

Address
0.14.233.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.233.176

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 977,328 and was likely granted around 1910.

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°.