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1,010,772

1,010,772 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.).

1,010,772 (one million ten thousand seven hundred seventy-two) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 3³ × 7² × 191. Its proper divisors sum to 2,053,548, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6C54.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
2,770,101
Recamán's sequence
a(360,591) = 1,010,772
Square (n²)
1,021,660,035,984
Cube (n³)
1,032,665,357,891,619,648
Divisor count
72
σ(n) — sum of divisors
3,064,320
φ(n) — Euler's totient
287,280
Sum of prime factors
218

Primality

Prime factorization: 2 2 × 3 3 × 7 2 × 191

Nearest primes: 1,010,771 (−1) · 1,010,783 (+11)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 18 · 21 · 27 · 28 · 36 · 42 · 49 · 54 · 63 · 84 · 98 · 108 · 126 · 147 · 189 · 191 · 196 · 252 · 294 · 378 · 382 · 441 · 573 · 588 · 756 · 764 · 882 · 1146 · 1323 · 1337 · 1719 · 1764 · 2292 · 2646 · 2674 · 3438 · 4011 · 5157 · 5292 · 5348 · 6876 · 8022 · 9359 · 10314 · 12033 · 16044 · 18718 · 20628 · 24066 · 28077 · 36099 · 37436 · 48132 · 56154 · 72198 · 84231 · 112308 · 144396 · 168462 · 252693 · 336924 · 505386 (half) · 1010772
Aliquot sum (sum of proper divisors): 2,053,548
Factor pairs (a × b = 1,010,772)
1 × 1010772
2 × 505386
3 × 336924
4 × 252693
6 × 168462
7 × 144396
9 × 112308
12 × 84231
14 × 72198
18 × 56154
21 × 48132
27 × 37436
28 × 36099
36 × 28077
42 × 24066
49 × 20628
54 × 18718
63 × 16044
84 × 12033
98 × 10314
108 × 9359
126 × 8022
147 × 6876
189 × 5348
191 × 5292
196 × 5157
252 × 4011
294 × 3438
378 × 2674
382 × 2646
441 × 2292
573 × 1764
588 × 1719
756 × 1337
764 × 1323
882 × 1146
First multiples
1,010,772 · 2,021,544 (double) · 3,032,316 · 4,043,088 · 5,053,860 · 6,064,632 · 7,075,404 · 8,086,176 · 9,096,948 · 10,107,720

Sums & aliquot sequence

As consecutive integers: 336,923 + 336,924 + 336,925 144,393 + 144,394 + … + 144,399 126,343 + 126,344 + … + 126,350 112,304 + 112,305 + … + 112,312
Aliquot sequence: 1,010,772 2,053,548 4,105,332 8,841,420 22,608,180 57,789,900 149,248,932 272,616,540 599,757,732 1,157,331,420 3,214,162,980 7,970,572,764 17,148,816,804 — keeps growing

Continued fraction of √n

√1,010,772 = [1005; (2, 1, 2, 4, 5, 2, 2, 1, 1, 1, 1, 3, 1, 17, 1, 1, 1, 40, 2, 1, 2, 223, 24, 4, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
one million ten thousand seven hundred seventy-two
Ordinal
1010772nd
Binary
11110110110001010100
Octal
3666124
Hexadecimal
0xF6C54
Base64
D2xU
One's complement
4,293,956,523 (32-bit)
Scientific notation
1.010772 × 10⁶
As a duration
1,010,772 s = 11 days, 16 hours, 46 minutes, 12 seconds
In other bases
ternary (3) 1220100112000
quaternary (4) 3312301110
quinary (5) 224321042
senary (6) 33355300
septenary (7) 11406600
nonary (9) 1810460
undecimal (11) 630454
duodecimal (12) 408b30
tridecimal (13) 2950b9
tetradecimal (14) 1c4500
pentadecimal (15) 14e74c

As an angle

1,010,772° = 2,807 × 360° + 252°
252° ≈ 4.398 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百零一萬零七百七十二
Chinese (financial)
壹佰零壹萬零柒佰柒拾貳
In other modern scripts
Eastern Arabic ١٠١٠٧٧٢ Devanagari १०१०७७२ Bengali ১০১০৭৭২ Tamil ௧௦௧௦௭௭௨ Thai ๑๐๑๐๗๗๒ Tibetan ༡༠༡༠༧༧༢ Khmer ១០១០៧៧២ Lao ໑໐໑໐໗໗໒ Burmese ၁၀၁၀၇၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010772, here are decompositions:

  • 5 + 1010767 = 1010772
  • 13 + 1010759 = 1010772
  • 19 + 1010753 = 1010772
  • 23 + 1010749 = 1010772
  • 53 + 1010719 = 1010772
  • 89 + 1010683 = 1010772
  • 101 + 1010671 = 1010772
  • 149 + 1010623 = 1010772

Showing the first eight; more decompositions exist.

Hex color
#0F6C54
RGB(15, 108, 84)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.108.84.

Address
0.15.108.84
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.108.84

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 0772 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 0772-10-01 (MMDYYYY (US, single-digit day))
  • 0772-01-10 (DDMYYYY (Euro, single-digit month))
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 1,010,772 and was likely granted around 1911.

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

Position in π

The digit sequence 1010772 first appears in π at position 687,489 of the decimal expansion (the 687,489ordinal-suffix:th 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°.