2,502,496

2⁵ × 78203

Starting at 2,502,496, the Collatz iteration reaches 1 after 174 steps. The first transition is 1251248; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 78203

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,926,852

Proper Divisor Sum 2,424,356

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #2502481 ← → #2502527

Radix Representation

Decimal	2502496
Binary	1001100010111101100000 (22 bits)
Octal	0o11427540
Hexadecimal	0x262F60

Divisor Catalog (12)

1 2 4 8 16 32 78,203 156,406 312,812 625,624 1,251,248 2,502,496

Collatz Trajectory (174 steps to reach 1)

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

2,502,496 1,251,248 625,624 312,812 156,406 78,203 234,610 117,305 351,916 175,958 87,979 263,938 131,969 395,908 197,954 98,977 296,932 148,466 74,233 222,700 111,350 55,675 167,026 83,513 250,540 125,270 62,635 187,906 93,953 281,860 140,930 70,465 211,396 105,698 52,849 158,548 79,274 39,637 118,912 59,456 29,728 14,864 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442

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