7,779,488

2⁵ × 243109

7,779,488 factors as 2^5 × 243109. Its 12 positive divisors give a proper-divisor sum of 7,536,442, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^5 × 243109

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,315,930

Proper Divisor Sum 7,536,442

Digit Sum / Digital Root 50 (Root: 5)

Adjacent Primes #7779479 ← → #7779491

Radix Representation

Decimal	7779488
Binary	11101101011010010100000 (23 bits)
Octal	0o35532240
Hexadecimal	0x76B4A0

Divisor Catalog (12)

1 2 4 8 16 32 243,109 486,218 972,436 1,944,872 3,889,744 7,779,488

Collatz Trajectory (142 steps to reach 1)

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

7,779,488 3,889,744 1,944,872 972,436 486,218 243,109 729,328 364,664 182,332 91,166 45,583 136,750 68,375 205,126 102,563 307,690 153,845 461,536 230,768 115,384 57,692 28,846 14,423 43,270 21,635 64,906 32,453 97,360 48,680 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233

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