4,788,128

2⁵ × 149629

4,788,128 factors as 2^5 × 149629. Its 12 positive divisors give a proper-divisor sum of 4,638,562, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^5 × 149629

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,426,690

Proper Divisor Sum 4,638,562

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #4788127 ← → #4788131

Radix Representation

Decimal	4788128
Binary	10010010000111110100000 (23 bits)
Octal	0o22207640
Hexadecimal	0x490FA0

Divisor Catalog (12)

1 2 4 8 16 32 149,629 299,258 598,516 1,197,032 2,394,064 4,788,128

Collatz Trajectory (118 steps to reach 1)

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

4,788,128 2,394,064 1,197,032 598,516 299,258 149,629 448,888 224,444 112,222 56,111 168,334 84,167 252,502 126,251 378,754 189,377 568,132 284,066 142,033 426,100 213,050 106,525 319,576 159,788 79,894 39,947 119,842 59,921 179,764 89,882 44,941 134,824 67,412 33,706 16,853 50,560 25,280 12,640 6,320 3,160 1,580 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850

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