9,735,988

2² × 709 × 3433

9,735,988 factors as 2^2 × 709 × 3433. Its 12 positive divisors give a proper-divisor sum of 7,330,992, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^2 × 709 × 3433

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,066,980

Proper Divisor Sum 7,330,992

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #9735949 ← → #9735991

Radix Representation

Decimal	9735988
Binary	100101001000111100110100 (24 bits)
Octal	0o45107464
Hexadecimal	0x948F34

Divisor Catalog (12)

1 2 4 709 1,418 2,836 3,433 6,866 13,732 2,433,997 4,867,994 9,735,988

Collatz Trajectory (163 steps to reach 1)

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

9,735,988 4,867,994 2,433,997 7,301,992 3,650,996 1,825,498 912,749 2,738,248 1,369,124 684,562 342,281 1,026,844 513,422 256,711 770,134 385,067 1,155,202 577,601 1,732,804 866,402 433,201 1,299,604 649,802 324,901 974,704 487,352 243,676 121,838 60,919 182,758 91,379 274,138 137,069 411,208 205,604 102,802 51,401 154,204 77,102 38,551 115,654 57,827 173,482 86,741 260,224 130,112 65,056 32,528 16,264 8,132 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,735,987 Browse Full Index Next Integer #9,735,989 →