5,002,288

2⁴ × 312643

Starting at 5,002,288, the Collatz iteration reaches 1 after 175 steps. The first transition is 2501144; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 312643

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 9,691,964

Proper Divisor Sum 4,689,676

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #5002273 ← → #5002313

Radix Representation

Decimal	5002288
Binary	10011000101010000110000 (23 bits)
Octal	0o23052060
Hexadecimal	0x4C5430

Divisor Catalog (10)

1 2 4 8 16 312,643 625,286 1,250,572 2,501,144 5,002,288

Collatz Trajectory (175 steps to reach 1)

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

5,002,288 2,501,144 1,250,572 625,286 312,643 937,930 468,965 1,406,896 703,448 351,724 175,862 87,931 263,794 131,897 395,692 197,846 98,923 296,770 148,385 445,156 222,578 111,289 333,868 166,934 83,467 250,402 125,201 375,604 187,802 93,901 281,704 140,852 70,426 35,213 105,640 52,820 26,410 13,205 39,616 19,808 9,904 4,952 2,476 1,238 619 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884

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