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1,014,600

1,014,600 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.).

1,014,600 (one million fourteen thousand six hundred) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3 × 5² × 19 × 89. Its proper divisors sum to 2,333,400, more than the number itself, making it an abundant number. It is the 1,424th triangular number. Written other ways, in hexadecimal, 0xF7B48.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Triangular Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
64,101
Square (n²)
1,029,413,160,000
Cube (n³)
1,044,442,592,136,000,000
Divisor count
96
σ(n) — sum of divisors
3,348,000
φ(n) — Euler's totient
253,440
Sum of prime factors
127

Primality

Prime factorization: 2 3 × 3 × 5 2 × 19 × 89

Nearest primes: 1,014,593 (−7) · 1,014,617 (+17)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 19 · 20 · 24 · 25 · 30 · 38 · 40 · 50 · 57 · 60 · 75 · 76 · 89 · 95 · 100 · 114 · 120 · 150 · 152 · 178 · 190 · 200 · 228 · 267 · 285 · 300 · 356 · 380 · 445 · 456 · 475 · 534 · 570 · 600 · 712 · 760 · 890 · 950 · 1068 · 1140 · 1335 · 1425 · 1691 · 1780 · 1900 · 2136 · 2225 · 2280 · 2670 · 2850 · 3382 · 3560 · 3800 · 4450 · 5073 · 5340 · 5700 · 6675 · 6764 · 8455 · 8900 · 10146 · 10680 · 11400 · 13350 · 13528 · 16910 · 17800 · 20292 · 25365 · 26700 · 33820 · 40584 · 42275 · 50730 · 53400 · 67640 · 84550 · 101460 · 126825 · 169100 · 202920 · 253650 · 338200 · 507300 (half) · 1014600
Aliquot sum (sum of proper divisors): 2,333,400
Factor pairs (a × b = 1,014,600)
1 × 1014600
2 × 507300
3 × 338200
4 × 253650
5 × 202920
6 × 169100
8 × 126825
10 × 101460
12 × 84550
15 × 67640
19 × 53400
20 × 50730
24 × 42275
25 × 40584
30 × 33820
38 × 26700
40 × 25365
50 × 20292
57 × 17800
60 × 16910
75 × 13528
76 × 13350
89 × 11400
95 × 10680
100 × 10146
114 × 8900
120 × 8455
150 × 6764
152 × 6675
178 × 5700
190 × 5340
200 × 5073
228 × 4450
267 × 3800
285 × 3560
300 × 3382
356 × 2850
380 × 2670
445 × 2280
456 × 2225
475 × 2136
534 × 1900
570 × 1780
600 × 1691
712 × 1425
760 × 1335
890 × 1140
950 × 1068
First multiples
1,014,600 · 2,029,200 (double) · 3,043,800 · 4,058,400 · 5,073,000 · 6,087,600 · 7,102,200 · 8,116,800 · 9,131,400 · 10,146,000

Sums & aliquot sequence

As consecutive integers: 338,199 + 338,200 + 338,201 202,918 + 202,919 + 202,920 + 202,921 + 202,922 67,633 + 67,634 + … + 67,647 63,405 + 63,406 + … + 63,420
Aliquot sequence: 1,014,600 2,333,400 4,902,000 12,120,720 25,454,256 40,302,696 79,780,344 148,834,056 279,295,224 474,315,816 811,992,984 1,429,274,856 2,143,912,344 4,081,998,696 6,122,998,104 9,184,497,216 15,726,562,944 — keeps growing

Continued fraction of √n

√1,014,600 = [1007; (3, 1, 1, 1, 9, 2, 3, 2, 3, 80, 3, 2, 3, 2, 9, 1, 1, 1, 3, 2014)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one million fourteen thousand six hundred
Ordinal
1014600th
Binary
11110111101101001000
Octal
3675510
Hexadecimal
0xF7B48
Base64
D3tI
One's complement
4,293,952,695 (32-bit)
Scientific notation
1.0146 × 10⁶
As a duration
1,014,600 s = 11 days, 17 hours, 50 minutes
In other bases
ternary (3) 1220112202210
quaternary (4) 3313231020
quinary (5) 224431400
senary (6) 33425120
septenary (7) 11424006
nonary (9) 1815683
undecimal (11) 633314
duodecimal (12) 40b1a0
tridecimal (13) 296a72
tetradecimal (14) 1c5a76
pentadecimal (15) 150950

As an angle

1,014,600° = 2,818 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢
Chinese
一百零一萬四千六百
Chinese (financial)
壹佰零壹萬肆仟陸佰
In other modern scripts
Eastern Arabic ١٠١٤٦٠٠ Devanagari १०१४६०० Bengali ১০১৪৬০০ Tamil ௧௦௧௪௬௦௦ Thai ๑๐๑๔๖๐๐ Tibetan ༡༠༡༤༦༠༠ Khmer ១០១៤៦០០ Lao ໑໐໑໔໖໐໐ Burmese ၁၀၁၄၆၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1014600, here are decompositions:

  • 7 + 1014593 = 1014600
  • 29 + 1014571 = 1014600
  • 43 + 1014557 = 1014600
  • 53 + 1014547 = 1014600
  • 61 + 1014539 = 1014600
  • 79 + 1014521 = 1014600
  • 107 + 1014493 = 1014600
  • 113 + 1014487 = 1014600

Showing the first eight; more decompositions exist.

Hex color
#0F7B48
RGB(15, 123, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.123.72.

Address
0.15.123.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.123.72

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 4600 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 4600-10-01 (MMDYYYY (US, single-digit day))
  • 4600-01-10 (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 1,014,600 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

  • Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.