2,448,706

2 × 13 × 53 × 1777

Starting at 2,448,706, the Collatz iteration reaches 1 after 205 steps. The first transition is 1224353; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 53 × 1777

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,032,504

Proper Divisor Sum 1,583,798

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2448703 ← → #2448713

Radix Representation

Decimal	2448706
Binary	1001010101110101000010 (22 bits)
Octal	0o11256502
Hexadecimal	0x255D42

Divisor Catalog (16)

1 2 13 26 53 106 689 1,378 1,777 3,554 23,101 46,202 94,181 188,362 1,224,353 2,448,706

Collatz Trajectory (205 steps to reach 1)

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

2,448,706 1,224,353 3,673,060 1,836,530 918,265 2,754,796 1,377,398 688,699 2,066,098 1,033,049 3,099,148 1,549,574 774,787 2,324,362 1,162,181 3,486,544 1,743,272 871,636 435,818 217,909 653,728 326,864 163,432 81,716 40,858 20,429 61,288 30,644 15,322 7,661 22,984 11,492 5,746 2,873 8,620 4,310 2,155 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551

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