number.wiki
Live analysis

977,000

977,000 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.).

977,000 (nine hundred seventy-seven thousand) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5³ × 977. Its proper divisors sum to 1,311,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEE868.

Abundant Number Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
779
Square (n²)
954,529,000,000
Cube (n³)
932,574,833,000,000,000
Divisor count
32
σ(n) — sum of divisors
2,288,520
φ(n) — Euler's totient
390,400
Sum of prime factors
998

Primality

Prime factorization: 2 3 × 5 3 × 977

Nearest primes: 976,991 (−9) · 977,021 (+21)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 40 · 50 · 100 · 125 · 200 · 250 · 500 · 977 · 1000 · 1954 · 3908 · 4885 · 7816 · 9770 · 19540 · 24425 · 39080 · 48850 · 97700 · 122125 · 195400 · 244250 · 488500 (half) · 977000
Aliquot sum (sum of proper divisors): 1,311,520
Factor pairs (a × b = 977,000)
1 × 977000
2 × 488500
4 × 244250
5 × 195400
8 × 122125
10 × 97700
20 × 48850
25 × 39080
40 × 24425
50 × 19540
100 × 9770
125 × 7816
200 × 4885
250 × 3908
500 × 1954
977 × 1000
First multiples
977,000 · 1,954,000 (double) · 2,931,000 · 3,908,000 · 4,885,000 · 5,862,000 · 6,839,000 · 7,816,000 · 8,793,000 · 9,770,000

Sums & aliquot sequence

As a sum of two squares: 190² + 970² = 430² + 890² = 454² + 878² = 662² + 734²
As consecutive integers: 195,398 + 195,399 + 195,400 + 195,401 + 195,402 61,055 + 61,056 + … + 61,070 39,068 + 39,069 + … + 39,092 12,173 + 12,174 + … + 12,252
Aliquot sequence: 977,000 1,311,520 2,232,608 2,791,264 3,867,584 5,093,536 6,367,424 8,372,704 9,081,824 8,798,080 12,683,120 18,868,432 21,878,960 29,184,736 37,119,488 47,650,384 44,781,200 — unresolved within range

Continued fraction of √n

√977,000 = [988; (2, 3, 4, 4, 1, 1, 1, 1, 493, 1, 1, 1, 1, 4, 4, 3, 2, 1976)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
nine hundred seventy-seven thousand
Ordinal
977000th
Binary
11101110100001101000
Octal
3564150
Hexadecimal
0xEE868
Base64
Duho
One's complement
4,293,990,295 (32-bit)
Scientific notation
9.77 × 10⁵
As a duration
977,000 s = 11 days, 7 hours, 23 minutes, 20 seconds
In other bases
ternary (3) 1211122012012
quaternary (4) 3232201220
quinary (5) 222231000
senary (6) 32535052
septenary (7) 11206253
nonary (9) 1748165
undecimal (11) 608042
duodecimal (12) 3b1488
tridecimal (13) 28290b
tetradecimal (14) 1b609a
pentadecimal (15) 144735

As an angle

977,000° = 2,713 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Greek (Milesian)
͵ϡοζ
Chinese
九十七萬七千
Chinese (financial)
玖拾柒萬柒仟
In other modern scripts
Eastern Arabic ٩٧٧٠٠٠ Devanagari ९७७००० Bengali ৯৭৭০০০ Tamil ௯௭௭௦௦௦ Thai ๙๗๗๐๐๐ Tibetan ༩༧༧༠༠༠ Khmer ៩៧៧០០០ Lao ໙໗໗໐໐໐ Burmese ၉၇၇၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 977000, here are decompositions:

  • 43 + 976957 = 977000
  • 67 + 976933 = 977000
  • 151 + 976849 = 977000
  • 223 + 976777 = 977000
  • 331 + 976669 = 977000
  • 379 + 976621 = 977000
  • 439 + 976561 = 977000
  • 463 + 976537 = 977000

Showing the first eight; more decompositions exist.

Hex color
#0EE868
RGB(14, 232, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.232.104.

Address
0.14.232.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.232.104

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 977,000 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°.