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1,042,272

1,042,272 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.).

1,042,272 (one million forty-two thousand two hundred seventy-two) is an even 7-digit number. It is a composite number with 144 divisors, and factors as 2⁵ × 3² × 7 × 11 × 47. Its proper divisors sum to 2,731,680, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE760.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number 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
2,722,401
Square (n²)
1,086,330,921,984
Cube (n³)
1,132,252,302,718,107,648
Divisor count
144
σ(n) — sum of divisors
3,773,952
φ(n) — Euler's totient
264,960
Sum of prime factors
81

Primality

Prime factorization: 2 5 × 3 2 × 7 × 11 × 47

Nearest primes: 1,042,271 (−1) · 1,042,273 (+1)

Divisors & multiples

All divisors (144)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 11 · 12 · 14 · 16 · 18 · 21 · 22 · 24 · 28 · 32 · 33 · 36 · 42 · 44 · 47 · 48 · 56 · 63 · 66 · 72 · 77 · 84 · 88 · 94 · 96 · 99 · 112 · 126 · 132 · 141 · 144 · 154 · 168 · 176 · 188 · 198 · 224 · 231 · 252 · 264 · 282 · 288 · 308 · 329 · 336 · 352 · 376 · 396 · 423 · 462 · 504 · 517 · 528 · 564 · 616 · 658 · 672 · 693 · 752 · 792 · 846 · 924 · 987 · 1008 · 1034 · 1056 · 1128 · 1232 · 1316 · 1386 · 1504 · 1551 · 1584 · 1692 · 1848 · 1974 · 2016 · 2068 · 2256 · 2464 · 2632 · 2772 · 2961 · 3102 · 3168 · 3384 · 3619 · 3696 · 3948 · 4136 · 4512 · 4653 · 5264 · 5544 · 5922 · 6204 · 6768 · 7238 · 7392 · 7896 · 8272 · 9306 · 10528 · 10857 · 11088 · 11844 · 12408 · 13536 · 14476 · 15792 · 16544 · 18612 · 21714 · 22176 · 23688 · 24816 · 28952 · 31584 · 32571 · 37224 · 43428 · 47376 · 49632 · 57904 · 65142 · 74448 · 86856 · 94752 · 115808 · 130284 · 148896 · 173712 · 260568 · 347424 · 521136 (half) · 1042272
Aliquot sum (sum of proper divisors): 2,731,680
Factor pairs (a × b = 1,042,272)
1 × 1042272
2 × 521136
3 × 347424
4 × 260568
6 × 173712
7 × 148896
8 × 130284
9 × 115808
11 × 94752
12 × 86856
14 × 74448
16 × 65142
18 × 57904
21 × 49632
22 × 47376
24 × 43428
28 × 37224
32 × 32571
33 × 31584
36 × 28952
42 × 24816
44 × 23688
47 × 22176
48 × 21714
56 × 18612
63 × 16544
66 × 15792
72 × 14476
77 × 13536
84 × 12408
88 × 11844
94 × 11088
96 × 10857
99 × 10528
112 × 9306
126 × 8272
132 × 7896
141 × 7392
144 × 7238
154 × 6768
168 × 6204
176 × 5922
188 × 5544
198 × 5264
224 × 4653
231 × 4512
252 × 4136
264 × 3948
282 × 3696
288 × 3619
308 × 3384
329 × 3168
336 × 3102
352 × 2961
376 × 2772
396 × 2632
423 × 2464
462 × 2256
504 × 2068
517 × 2016
528 × 1974
564 × 1848
616 × 1692
658 × 1584
672 × 1551
693 × 1504
752 × 1386
792 × 1316
846 × 1232
924 × 1128
987 × 1056
1008 × 1034
First multiples
1,042,272 · 2,084,544 (double) · 3,126,816 · 4,169,088 · 5,211,360 · 6,253,632 · 7,295,904 · 8,338,176 · 9,380,448 · 10,422,720

Sums & aliquot sequence

As consecutive integers: 347,423 + 347,424 + 347,425 148,893 + 148,894 + … + 148,899 115,804 + 115,805 + … + 115,812 94,747 + 94,748 + … + 94,757
Aliquot sequence: 1,042,272 2,731,680 7,961,184 20,343,456 45,779,328 107,652,132 214,047,708 367,527,972 613,764,060 1,513,228,836 2,536,471,644 4,313,089,956 7,679,471,100 18,167,483,964 — keeps growing

Continued fraction of √n

√1,042,272 = [1020; (1, 11, 12, 6, 1, 55, 1, 6, 12, 11, 1, 2040)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one million forty-two thousand two hundred seventy-two
Ordinal
1042272nd
Binary
11111110011101100000
Octal
3763540
Hexadecimal
0xFE760
Base64
D+dg
One's complement
4,293,925,023 (32-bit)
Scientific notation
1.042272 × 10⁶
As a duration
1,042,272 s = 12 days, 1 hour, 31 minutes, 12 seconds
In other bases
ternary (3) 1221221201200
quaternary (4) 3332131200
quinary (5) 231323042
senary (6) 34201200
septenary (7) 11600460
nonary (9) 1857650
undecimal (11) 652090
duodecimal (12) 423200
tridecimal (13) 2a653a
tetradecimal (14) 1d1ba0
pentadecimal (15) 158c4c

As an angle

1,042,272° = 2,895 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百零四萬二千二百七十二
Chinese (financial)
壹佰零肆萬貳仟貳佰柒拾貳
In other modern scripts
Eastern Arabic ١٠٤٢٢٧٢ Devanagari १०४२२७२ Bengali ১০৪২২৭২ Tamil ௧௦௪௨௨௭௨ Thai ๑๐๔๒๒๗๒ Tibetan ༡༠༤༢༢༧༢ Khmer ១០៤២២៧២ Lao ໑໐໔໒໒໗໒ Burmese ၁၀၄၂၂၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1042272, here are decompositions:

  • 5 + 1042267 = 1042272
  • 13 + 1042259 = 1042272
  • 29 + 1042243 = 1042272
  • 31 + 1042241 = 1042272
  • 61 + 1042211 = 1042272
  • 79 + 1042193 = 1042272
  • 89 + 1042183 = 1042272
  • 131 + 1042141 = 1042272

Showing the first eight; more decompositions exist.

Hex color
#0FE760
RGB(15, 231, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.231.96.

Address
0.15.231.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.231.96

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 4, 2272 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2272-04-01 (DMMYYYY (Euro, single-digit day))
  • 2272-10-04 (MMDYYYY (US, single-digit day))
  • 2272-04-10 (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 1,042,272 and was likely granted around 1912.

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°.