Live analysis

1,001,572

1,001,572 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.).

1,001,572 (one million one thousand five hundred seventy-two) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 11 × 13 × 17 × 103. Its proper divisors sum to 1,199,900, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4864.

Abundant Number Arithmetic Number Cube-Free Odious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,001,560 1,001,561 1,001,562 1,001,563 1,001,564 1,001,565 1,001,566 1,001,567 1,001,568 1,001,569 1,001,570 1,001,571 1,001,572 1,001,573 1,001,574 1,001,575 1,001,576 1,001,577 1,001,578 1,001,579 1,001,580 1,001,581 1,001,582 1,001,583 1,001,584

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 2,751,001
Square (n²): 1,003,146,471,184
Cube (n³): 1,004,723,417,436,701,248
Divisor count: 48
σ(n) — sum of divisors: 2,201,472
φ(n) — Euler's totient: 391,680
Sum of prime factors: 148

Primality

Prime factorization: 2 ² × 11 × 13 × 17 × 103

Nearest primes: 1,001,569 (−3) · 1,001,587 (+15)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 11 · 13 · 17 · 22 · 26 · 34 · 44 · 52 · 68 · 103 · 143 · 187 · 206 · 221 · 286 · 374 · 412 · 442 · 572 · 748 · 884 · 1133 · 1339 · 1751 · 2266 · 2431 · 2678 · 3502 · 4532 · 4862 · 5356 · 7004 · 9724 · 14729 · 19261 · 22763 · 29458 · 38522 · 45526 · 58916 · 77044 · 91052 · 250393 · 500786 (half) · 1001572

Aliquot sum (sum of proper divisors): 1,199,900

Factor pairs (a × b = 1,001,572)

1 × 1001572

2 × 500786

4 × 250393

11 × 91052

13 × 77044

17 × 58916

22 × 45526

26 × 38522

34 × 29458

44 × 22763

52 × 19261

68 × 14729

103 × 9724

143 × 7004

187 × 5356

206 × 4862

221 × 4532

286 × 3502

374 × 2678

412 × 2431

442 × 2266

572 × 1751

748 × 1339

884 × 1133

First multiples

1,001,572 · 2,003,144 (double) · 3,004,716 · 4,006,288 · 5,007,860 · 6,009,432 · 7,011,004 · 8,012,576 · 9,014,148 · 10,015,720

Sums & aliquot sequence

As consecutive integers: 125,193 + 125,194 + … + 125,200 91,047 + 91,048 + … + 91,057 77,038 + 77,039 + … + 77,050 58,908 + 58,909 + … + 58,924

Aliquot sequence: 1,001,572 → 1,199,900 → 1,659,292 → 1,270,964 → 953,230 → 925,970 → 871,150 → 1,093,010 → 942,790 → 813,290 → 662,422 → 389,714 → 243,832 → 229,568 → 255,064 → 223,196 → 167,404 — unresolved within range

Continued fraction of √n

√1,001,572 = [1000; (1, 3, 1, 1, 1, 221, 1, 3, 15, 1, 1, 24, 5, 7, 1, 1, 1, 1, 1, 2, 1, 2, 46, 5, …)]

Representations

In words: one million one thousand five hundred seventy-two
Ordinal: 1001572nd
Binary: 11110100100001100100
Octal: 3644144
Hexadecimal: 0xF4864
Base64: D0hk
One's complement: 4,293,965,723 (32-bit)
Scientific notation: 1.001572 × 10⁶
As a duration: 1,001,572 s = 11 days, 14 hours, 12 minutes, 52 seconds

In other bases

ternary (3) 1212212220021

quaternary (4) 3310201210

quinary (5) 224022242

senary (6) 33244524

septenary (7) 11341015

nonary (9) 1785807

undecimal (11) 624550

duodecimal (12) 403744

tridecimal (13) 290b60

tetradecimal (14) 1c100c

pentadecimal (15) 14bb67

As an angle

1,001,572° = 2,782 × 360° + 52°

52° ≈ 0.908 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬一千五百七十二
Chinese (financial): 壹佰萬壹仟伍佰柒拾貳

In other modern scripts

Eastern Arabic ١٠٠١٥٧٢ Devanagari १००१५७२ Bengali ১০০১৫৭২ Tamil ௧௦௦௧௫௭௨ Thai ๑๐๐๑๕๗๒ Tibetan ༡༠༠༡༥༧༢ Khmer ១០០១៥៧២ Lao ໑໐໐໑໕໗໒ Burmese ၁၀၀၁၅၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001572, here are decompositions:

3 + 1001569 = 1001572
23 + 1001549 = 1001572
41 + 1001531 = 1001572
71 + 1001501 = 1001572
113 + 1001459 = 1001572
191 + 1001381 = 1001572
251 + 1001321 = 1001572
269 + 1001303 = 1001572

Showing the first eight; more decompositions exist.

Hex color

#0F4864

RGB(15, 72, 100)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.72.100.

Address: 0.15.72.100
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.72.100

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 1,001,572 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 US1,001,572 on Google Patents ↗ Look up on USPTO ↗