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1,006,434

1,006,434 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.).

1,006,434 (one million six thousand four hundred thirty-four) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2 × 3² × 11 × 13 × 17 × 23. Its proper divisors sum to 1,824,030, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5B62.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Practical 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
4,346,001
Square (n²)
1,012,909,396,356
Cube (n³)
1,019,426,455,412,154,504
Divisor count
96
σ(n) — sum of divisors
2,830,464
φ(n) — Euler's totient
253,440
Sum of prime factors
72

Primality

Prime factorization: 2 × 3 2 × 11 × 13 × 17 × 23

Nearest primes: 1,006,433 (−1) · 1,006,441 (+7)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 6 · 9 · 11 · 13 · 17 · 18 · 22 · 23 · 26 · 33 · 34 · 39 · 46 · 51 · 66 · 69 · 78 · 99 · 102 · 117 · 138 · 143 · 153 · 187 · 198 · 207 · 221 · 234 · 253 · 286 · 299 · 306 · 374 · 391 · 414 · 429 · 442 · 506 · 561 · 598 · 663 · 759 · 782 · 858 · 897 · 1122 · 1173 · 1287 · 1326 · 1518 · 1683 · 1794 · 1989 · 2277 · 2346 · 2431 · 2574 · 2691 · 3289 · 3366 · 3519 · 3978 · 4301 · 4554 · 4862 · 5083 · 5382 · 6578 · 7038 · 7293 · 8602 · 9867 · 10166 · 12903 · 14586 · 15249 · 19734 · 21879 · 25806 · 29601 · 30498 · 38709 · 43758 · 45747 · 55913 · 59202 · 77418 · 91494 · 111826 · 167739 · 335478 · 503217 (half) · 1006434
Aliquot sum (sum of proper divisors): 1,824,030
Factor pairs (a × b = 1,006,434)
1 × 1006434
2 × 503217
3 × 335478
6 × 167739
9 × 111826
11 × 91494
13 × 77418
17 × 59202
18 × 55913
22 × 45747
23 × 43758
26 × 38709
33 × 30498
34 × 29601
39 × 25806
46 × 21879
51 × 19734
66 × 15249
69 × 14586
78 × 12903
99 × 10166
102 × 9867
117 × 8602
138 × 7293
143 × 7038
153 × 6578
187 × 5382
198 × 5083
207 × 4862
221 × 4554
234 × 4301
253 × 3978
286 × 3519
299 × 3366
306 × 3289
374 × 2691
391 × 2574
414 × 2431
429 × 2346
442 × 2277
506 × 1989
561 × 1794
598 × 1683
663 × 1518
759 × 1326
782 × 1287
858 × 1173
897 × 1122
First multiples
1,006,434 · 2,012,868 (double) · 3,019,302 · 4,025,736 · 5,032,170 · 6,038,604 · 7,045,038 · 8,051,472 · 9,057,906 · 10,064,340

Sums & aliquot sequence

As consecutive integers: 335,477 + 335,478 + 335,479 251,607 + 251,608 + 251,609 + 251,610 111,822 + 111,823 + … + 111,830 91,489 + 91,490 + … + 91,499
Aliquot sequence: 1,006,434 1,824,030 3,286,530 6,092,658 10,007,118 15,705,522 24,182,478 30,971,322 38,619,654 38,732,538 44,931,462 47,830,650 87,738,054 108,217,146 108,359,718 118,699,482 142,965,222 — unresolved within range

Continued fraction of √n

√1,006,434 = [1003; (4, 1, 2, 1, 1, 2, 1, 2, 2, 24, 2, 1, 6, 1, 3, 5, 1, 35, 1, 1, 1, 3, 1, 1, …)]

Representations

In words
one million six thousand four hundred thirty-four
Ordinal
1006434th
Binary
11110101101101100010
Octal
3655542
Hexadecimal
0xF5B62
Base64
D1ti
One's complement
4,293,960,861 (32-bit)
Scientific notation
1.006434 × 10⁶
As a duration
1,006,434 s = 11 days, 15 hours, 33 minutes, 54 seconds
In other bases
ternary (3) 1220010120100
quaternary (4) 3311231202
quinary (5) 224201214
senary (6) 33323230
septenary (7) 11361132
nonary (9) 1803510
undecimal (11) 628170
duodecimal (12) 406516
tridecimal (13) 293130
tetradecimal (14) 1c2ac2
pentadecimal (15) 14d309

As an angle

1,006,434° = 2,795 × 360° + 234°
234° ≈ 4.084 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百萬六千四百三十四
Chinese (financial)
壹佰萬陸仟肆佰參拾肆
In other modern scripts
Eastern Arabic ١٠٠٦٤٣٤ Devanagari १००६४३४ Bengali ১০০৬৪৩৪ Tamil ௧௦௦௬௪௩௪ Thai ๑๐๐๖๔๓๔ Tibetan ༡༠༠༦༤༣༤ Khmer ១០០៦៤៣៤ Lao ໑໐໐໖໔໓໔ Burmese ၁၀၀၆၄၃၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006434, here are decompositions:

  • 41 + 1006393 = 1006434
  • 43 + 1006391 = 1006434
  • 67 + 1006367 = 1006434
  • 73 + 1006361 = 1006434
  • 83 + 1006351 = 1006434
  • 97 + 1006337 = 1006434
  • 101 + 1006333 = 1006434
  • 103 + 1006331 = 1006434

Showing the first eight; more decompositions exist.

Hex color
#0F5B62
RGB(15, 91, 98)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.91.98.

Address
0.15.91.98
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.91.98

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 1,006,434 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°.