7,657,749

3² × 11 × 77351

7,657,749 factors as 3^2 × 11 × 77351. Its 12 positive divisors give a proper-divisor sum of 4,409,163, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 77351

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,066,912

Proper Divisor Sum 4,409,163

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7657723 ← → #7657751

Radix Representation

Decimal	7657749
Binary	11101001101100100010101 (23 bits)
Octal	0o35154425
Hexadecimal	0x74D915

Divisor Catalog (12)

1 3 9 11 33 99 77,351 232,053 696,159 850,861 2,552,583 7,657,749

Collatz Trajectory (80 steps to reach 1)

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

7,657,749 22,973,248 11,486,624 5,743,312 2,871,656 1,435,828 717,914 358,957 1,076,872 538,436 269,218 134,609 403,828 201,914 100,957 302,872 151,436 75,718 37,859 113,578 56,789 170,368 85,184 42,592 21,296 10,648 5,324 2,662 1,331 3,994 1,997 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,657,748 Browse Full Index Next Integer #7,657,750 →