λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,607,616

9,607,616

26 × 19 × 7901
Abundant Even Composite

9,607,616 factors as 2^6 × 19 × 7901. Its 28 positive divisors give a proper-divisor sum of 10,463,464, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^6 × 19 × 7901
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 20,071,080
Proper Divisor Sum 10,463,464
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9607607 ← → #9607643

Radix Representation

Decimal 9607616
Binary 100100101001100111000000 (24 bits)
Octal 0o44514700
Hexadecimal 0x9299C0

Divisor Catalog (28)

1 2 4 8 16 19 32 38 64 76 152 304 608 1,216 7,901 15,802 31,604 63,208 126,416 150,119 252,832 300,238 505,664 600,476 1,200,952 2,401,904 4,803,808 9,607,616

Collatz Trajectory (119 steps to reach 1)

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

9,607,616 4,803,808 2,401,904 1,200,952 600,476 300,238 150,119 450,358 225,179 675,538 337,769 1,013,308 506,654 253,327 759,982 379,991 1,139,974 569,987 1,709,962 854,981 2,564,944 1,282,472 641,236 320,618 160,309 480,928 240,464 120,232 60,116 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,607,615 Browse Full Index Next Integer #9,607,617 →