3,013,328

2⁴ × 188333

3,013,328 factors as 2^4 × 188333. Its 10 positive divisors give a proper-divisor sum of 2,825,026, so this integer is deficient. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^4 × 188333

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 5,838,354

Proper Divisor Sum 2,825,026

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #3013321 ← → #3013331

Radix Representation

Decimal	3013328
Binary	1011011111101011010000 (22 bits)
Octal	0o13375320
Hexadecimal	0x2DFAD0

Divisor Catalog (10)

1 2 4 8 16 188,333 376,666 753,332 1,506,664 3,013,328

Collatz Trajectory (133 steps to reach 1)

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

3,013,328 1,506,664 753,332 376,666 188,333 565,000 282,500 141,250 70,625 211,876 105,938 52,969 158,908 79,454 39,727 119,182 59,591 178,774 89,387 268,162 134,081 402,244 201,122 100,561 301,684 150,842 75,421 226,264 113,132 56,566 28,283 84,850 42,425 127,276 63,638 31,819 95,458 47,729 143,188 71,594 35,797 107,392 53,696 26,848 13,424 6,712 3,356 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190

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