7,797,784

2³ × 53² × 347

7,797,784 factors as 2^3 × 53^2 × 347. Its 24 positive divisors give a proper-divisor sum of 7,147,076, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^3 × 53^2 × 347

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,944,860

Proper Divisor Sum 7,147,076

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #7797763 ← → #7797793

Radix Representation

Decimal	7797784
Binary	11101101111110000011000 (23 bits)
Octal	0o35576030
Hexadecimal	0x76FC18

Divisor Catalog (24)

Collatz Trajectory (142 steps to reach 1)

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

7,797,784 3,898,892 1,949,446 974,723 2,924,170 1,462,085 4,386,256 2,193,128 1,096,564 548,282 274,141 822,424 411,212 205,606 102,803 308,410 154,205 462,616 231,308 115,654 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 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,797,783 Browse Full Index Next Integer #7,797,785 →