Live analysis

1,001,620

1,001,620 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.).

1,001,620 (one million one thousand six hundred twenty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 61 × 821. Its proper divisors sum to 1,138,868, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4894.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,001,608 1,001,609 1,001,610 1,001,611 1,001,612 1,001,613 1,001,614 1,001,615 1,001,616 1,001,617 1,001,618 1,001,619 1,001,620 1,001,621 1,001,622 1,001,623 1,001,624 1,001,625 1,001,626 1,001,627 1,001,628 1,001,629 1,001,630 1,001,631 1,001,632

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 261,001
Square (n²): 1,003,242,624,400
Cube (n³): 1,004,867,877,451,528,000
Divisor count: 24
σ(n) — sum of divisors: 2,140,488
φ(n) — Euler's totient: 393,600
Sum of prime factors: 891

Primality

Prime factorization: 2 ² × 5 × 61 × 821

Nearest primes: 1,001,593 (−27) · 1,001,621 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 20 · 61 · 122 · 244 · 305 · 610 · 821 · 1220 · 1642 · 3284 · 4105 · 8210 · 16420 · 50081 · 100162 · 200324 · 250405 · 500810 (half) · 1001620

Aliquot sum (sum of proper divisors): 1,138,868

Factor pairs (a × b = 1,001,620)

1 × 1001620

2 × 500810

4 × 250405

5 × 200324

10 × 100162

20 × 50081

61 × 16420

122 × 8210

244 × 4105

305 × 3284

610 × 1642

821 × 1220

First multiples

1,001,620 · 2,003,240 (double) · 3,004,860 · 4,006,480 · 5,008,100 · 6,009,720 · 7,011,340 · 8,012,960 · 9,014,580 · 10,016,200

Sums & aliquot sequence

As a sum of two squares: 98² + 996² = 276² + 962² = 604² + 798² = 676² + 738²

As consecutive integers: 200,322 + 200,323 + 200,324 + 200,325 + 200,326 125,199 + 125,200 + … + 125,206 25,021 + 25,022 + … + 25,060 16,390 + 16,391 + … + 16,450

Aliquot sequence: 1,001,620 → 1,138,868 → 940,972 → 705,736 → 687,464 → 601,546 → 410,774 → 380,842 → 331,670 → 300,778 → 155,162 → 110,854 → 59,426 → 31,918 → 15,962 → 9,094 → 4,550 — unresolved within range

Continued fraction of √n

√1,001,620 = [1000; (1, 4, 3, 1, 14, 1, 1, 13, 1, 2, 8, 3, 11, 2, 1, 1, 2, 24, 1, 1, 1, 2, 1, 5, …)]

Representations

In words: one million one thousand six hundred twenty
Ordinal: 1001620th
Binary: 11110100100010010100
Octal: 3644224
Hexadecimal: 0xF4894
Base64: D0iU
One's complement: 4,293,965,675 (32-bit)
Scientific notation: 1.00162 × 10⁶
As a duration: 1,001,620 s = 11 days, 14 hours, 13 minutes, 40 seconds

In other bases

ternary (3) 1212212222001

quaternary (4) 3310202110

quinary (5) 224022440

senary (6) 33245044

septenary (7) 11341114

nonary (9) 1785861

undecimal (11) 624594

duodecimal (12) 403784

tridecimal (13) 290b99

tetradecimal (14) 1c1044

pentadecimal (15) 14bb9a

As an angle

1,001,620° = 2,782 × 360° + 100°

100° ≈ 1.745 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百萬一千六百二十
Chinese (financial): 壹佰萬壹仟陸佰貳拾

In other modern scripts

Eastern Arabic ١٠٠١٦٢٠ Devanagari १००१६२० Bengali ১০০১৬২০ Tamil ௧௦௦௧௬௨௦ Thai ๑๐๐๑๖๒๐ Tibetan ༡༠༠༡༦༢༠ Khmer ១០០១៦២០ Lao ໑໐໐໑໖໒໐ Burmese ၁၀၀၁၆၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001620, here are decompositions:

71 + 1001549 = 1001620
89 + 1001531 = 1001620
173 + 1001447 = 1001620
233 + 1001387 = 1001620
239 + 1001381 = 1001620
251 + 1001369 = 1001620
293 + 1001327 = 1001620
317 + 1001303 = 1001620

Showing the first eight; more decompositions exist.

Hex color

#0F4894

RGB(15, 72, 148)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.72.148.

Address: 0.15.72.148
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.72.148

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 1,001,620 and was likely granted around 1911.

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

Look up US1,001,620 on Google Patents ↗ Look up on USPTO ↗