5,002,440

2³ × 3 × 5 × 41687

Starting at 5,002,440, the Collatz iteration reaches 1 after 188 steps. The first transition is 2501220; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 41687

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,007,680

Proper Divisor Sum 10,005,240

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #5002391 ← → #5002457

Radix Representation

Decimal	5002440
Binary	10011000101010011001000 (23 bits)
Octal	0o23052310
Hexadecimal	0x4C54C8

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 41,687 83,374 125,061 166,748 208,435 250,122 333,496 416,870 500,244 625,305 833,740 1,000,488 1,250,610 1,667,480 2,501,220 5,002,440

Collatz Trajectory (188 steps to reach 1)

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

5,002,440 2,501,220 1,250,610 625,305 1,875,916 937,958 468,979 1,406,938 703,469 2,110,408 1,055,204 527,602 263,801 791,404 395,702 197,851 593,554 296,777 890,332 445,166 222,583 667,750 333,875 1,001,626 500,813 1,502,440 751,220 375,610 187,805 563,416 281,708 140,854 70,427 211,282 105,641 316,924 158,462 79,231 237,694 118,847 356,542 178,271 534,814 267,407 802,222 401,111 1,203,334 601,667 1,805,002 902,501 2,707,504 1,353,752 676,876 338,438 169,219 507,658 253,829 761,488 380,744 190,372

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