Live analysis

1,001,720

1,001,720 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.).

1,001,720 (one million one thousand seven hundred twenty) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 79 × 317. Its proper divisors sum to 1,287,880, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF48F8.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,001,708 1,001,709 1,001,710 1,001,711 1,001,712 1,001,713 1,001,714 1,001,715 1,001,716 1,001,717 1,001,718 1,001,719 1,001,720 1,001,721 1,001,722 1,001,723 1,001,724 1,001,725 1,001,726 1,001,727 1,001,728 1,001,729 1,001,730 1,001,731 1,001,732

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 271,001
Square (n²): 1,003,442,958,400
Cube (n³): 1,005,168,880,288,448,000
Divisor count: 32
σ(n) — sum of divisors: 2,289,600
φ(n) — Euler's totient: 394,368
Sum of prime factors: 407

Primality

Prime factorization: 2 ³ × 5 × 79 × 317

Nearest primes: 1,001,713 (−7) · 1,001,723 (+3)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 79 · 158 · 316 · 317 · 395 · 632 · 634 · 790 · 1268 · 1580 · 1585 · 2536 · 3160 · 3170 · 6340 · 12680 · 25043 · 50086 · 100172 · 125215 · 200344 · 250430 · 500860 (half) · 1001720

Aliquot sum (sum of proper divisors): 1,287,880

Factor pairs (a × b = 1,001,720)

1 × 1001720

2 × 500860

4 × 250430

5 × 200344

8 × 125215

10 × 100172

20 × 50086

40 × 25043

79 × 12680

158 × 6340

316 × 3170

317 × 3160

395 × 2536

632 × 1585

634 × 1580

790 × 1268

First multiples

1,001,720 · 2,003,440 (double) · 3,005,160 · 4,006,880 · 5,008,600 · 6,010,320 · 7,012,040 · 8,013,760 · 9,015,480 · 10,017,200

Sums & aliquot sequence

As consecutive integers: 200,342 + 200,343 + 200,344 + 200,345 + 200,346 62,600 + 62,601 + … + 62,615 12,641 + 12,642 + … + 12,719 12,482 + 12,483 + … + 12,561

Aliquot sequence: 1,001,720 → 1,287,880 → 1,874,360 → 2,437,000 → 3,267,920 → 4,330,180 → 4,763,240 → 6,027,040 → 8,367,200 → 12,061,180 → 13,374,692 → 10,602,184 → 9,276,926 → 5,192,914 → 2,865,146 → 1,701,172 → 1,772,396 — unresolved within range

Continued fraction of √n

√1,001,720 = [1000; (1, 6, 8, 16, 2, 2, 1, 1, 1, 3, 5, 3, 3, 22, 5, 3, 1, 1, 2, 2, 2, 2, 6, 45, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words: one million one thousand seven hundred twenty
Ordinal: 1001720th
Binary: 11110100100011111000
Octal: 3644370
Hexadecimal: 0xF48F8
Base64: D0j4
One's complement: 4,293,965,575 (32-bit)
Scientific notation: 1.00172 × 10⁶
As a duration: 1,001,720 s = 11 days, 14 hours, 15 minutes, 20 seconds

In other bases

ternary (3) 1212220002202

quaternary (4) 3310203320

quinary (5) 224023340

senary (6) 33245332

septenary (7) 11341316

nonary (9) 1786082

undecimal (11) 624675

duodecimal (12) 403848

tridecimal (13) 290c45

tetradecimal (14) 1c10b6

pentadecimal (15) 14bc15

As an angle

1,001,720° = 2,782 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百萬一千七百二十
Chinese (financial): 壹佰萬壹仟柒佰貳拾

In other modern scripts

Eastern Arabic ١٠٠١٧٢٠ Devanagari १००१७२० Bengali ১০০১৭২০ Tamil ௧௦௦௧௭௨௦ Thai ๑๐๐๑๗๒๐ Tibetan ༡༠༠༡༧༢༠ Khmer ១០០១៧២០ Lao ໑໐໐໑໗໒໐ Burmese ၁၀၀၁၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001720, here are decompositions:

7 + 1001713 = 1001720
37 + 1001683 = 1001720
61 + 1001659 = 1001720
127 + 1001593 = 1001720
151 + 1001569 = 1001720
157 + 1001563 = 1001720
193 + 1001527 = 1001720
229 + 1001491 = 1001720

Showing the first eight; more decompositions exist.

Hex color

#0F48F8

RGB(15, 72, 248)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.72.248.

Address: 0.15.72.248
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.72.248

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 1,001,720 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 US1,001,720 on Google Patents ↗ Look up on USPTO ↗