760,040

2³ × 5 × 19001

760,040 factors as 2^3 × 5 × 19001. Its 16 positive divisors give a proper-divisor sum of 950,140, so this integer is abundant. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 19001

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,710,180

Proper Divisor Sum 950,140

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #760007 ← → #760043

Radix Representation

Decimal	760040
Binary	10111001100011101000 (20 bits)
Octal	0o2714350
Hexadecimal	0xB98E8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 19,001 38,002 76,004 95,005 152,008 190,010 380,020 760,040

Collatz Trajectory (224 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

760,040 380,020 190,010 95,005 285,016 142,508 71,254 35,627 106,882 53,441 160,324 80,162 40,081 120,244 60,122 30,061 90,184 45,092 22,546 11,273 33,820 16,910 8,455 25,366 12,683 38,050 19,025 57,076 28,538 14,269 42,808 21,404 10,702 5,351 16,054 8,027 24,082 12,041 36,124 18,062 9,031 27,094 13,547 40,642 20,321 60,964 30,482 15,241 45,724 22,862 11,431 34,294 17,147 51,442 25,721 77,164 38,582 19,291 57,874 28,937

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #760,039 Browse Full Index Next Integer #760,041 →