Live analysis

1,007,742

1,007,742 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.).

1,007,742 (one million seven thousand seven hundred forty-two) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 53 × 3,169. Its proper divisors sum to 1,046,418, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF607E.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,007,730 1,007,731 1,007,732 1,007,733 1,007,734 1,007,735 1,007,736 1,007,737 1,007,738 1,007,739 1,007,740 1,007,741 1,007,742 1,007,743 1,007,744 1,007,745 1,007,746 1,007,747 1,007,748 1,007,749 1,007,750 1,007,751 1,007,752 1,007,753 1,007,754

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 2,477,001
Recamán's sequence: a(349,967) = 1,007,742
Square (n²): 1,015,543,938,564
Cube (n³): 1,023,406,279,736,362,488
Divisor count: 16
σ(n) — sum of divisors: 2,054,160
φ(n) — Euler's totient: 329,472
Sum of prime factors: 3,227

Primality

Prime factorization: 2 × 3 × 53 × 3169

Nearest primes: 1,007,731 (−11) · 1,007,749 (+7)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 53 · 106 · 159 · 318 · 3169 · 6338 · 9507 · 19014 · 167957 · 335914 · 503871 (half) · 1007742

Aliquot sum (sum of proper divisors): 1,046,418

Factor pairs (a × b = 1,007,742)

1 × 1007742

2 × 503871

3 × 335914

6 × 167957

53 × 19014

106 × 9507

159 × 6338

318 × 3169

First multiples

1,007,742 · 2,015,484 (double) · 3,023,226 · 4,030,968 · 5,038,710 · 6,046,452 · 7,054,194 · 8,061,936 · 9,069,678 · 10,077,420

Sums & aliquot sequence

As consecutive integers: 335,913 + 335,914 + 335,915 251,934 + 251,935 + 251,936 + 251,937 83,973 + 83,974 + … + 83,984 18,988 + 18,989 + … + 19,040

Aliquot sequence: 1,007,742 → 1,046,418 → 1,169,742 → 1,504,050 → 2,340,942 → 2,340,954 → 4,156,326 → 5,568,474 → 5,568,486 → 9,154,074 → 9,154,086 → 10,458,714 → 13,447,014 → 17,543,322 → 20,566,854 → 39,187,386 → 62,961,414 — unresolved within range

Continued fraction of √n

√1,007,742 = [1003; (1, 6, 3, 20, 2, 1, 1, 1, 2, 2, 10, 1, 1, 4, 2, 1, 1, 2, 3, 1, 31, 1, 1, 1, …)]

Representations

In words: one million seven thousand seven hundred forty-two
Ordinal: 1007742nd
Binary: 11110110000001111110
Octal: 3660176
Hexadecimal: 0xF607E
Base64: D2B+
One's complement: 4,293,959,553 (32-bit)
Scientific notation: 1.007742 × 10⁶
As a duration: 1,007,742 s = 11 days, 15 hours, 55 minutes, 42 seconds

In other bases

ternary (3) 1220012100210

quaternary (4) 3312001332

quinary (5) 224221432

senary (6) 33333250

septenary (7) 11365011

nonary (9) 1805323

undecimal (11) 62914a

duodecimal (12) 407226

tridecimal (13) 2938c8

tetradecimal (14) 1c3378

pentadecimal (15) 14d8cc

As an angle

1,007,742° = 2,799 × 360° + 102°

102° ≈ 1.78 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬七千七百四十二
Chinese (financial): 壹佰萬柒仟柒佰肆拾貳

In other modern scripts

Eastern Arabic ١٠٠٧٧٤٢ Devanagari १००७७४२ Bengali ১০০৭৭৪২ Tamil ௧௦௦௭௭௪௨ Thai ๑๐๐๗๗๔๒ Tibetan ༡༠༠༧༧༤༢ Khmer ១០០៧៧៤២ Lao ໑໐໐໗໗໔໒ Burmese ၁၀၀၇၇၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007742, here are decompositions:

11 + 1007731 = 1007742
13 + 1007729 = 1007742
19 + 1007723 = 1007742
23 + 1007719 = 1007742
31 + 1007711 = 1007742
41 + 1007701 = 1007742
59 + 1007683 = 1007742
61 + 1007681 = 1007742

Showing the first eight; more decompositions exist.

Hex color

#0F607E

RGB(15, 96, 126)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.96.126.

Address: 0.15.96.126
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.96.126

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 1,007,742 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 US1,007,742 on Google Patents ↗ Look up on USPTO ↗