2,388,416

2⁶ × 67 × 557

Starting at 2,388,416, the Collatz iteration reaches 1 after 99 steps. The first transition is 1194208; the starting value is even with 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 67 × 557

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 4,818,888

Proper Divisor Sum 2,430,472

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #2388409 ← → #2388443

Radix Representation

Decimal	2388416
Binary	1001000111000111000000 (22 bits)
Octal	0o11070700
Hexadecimal	0x2471C0

Divisor Catalog (28)

1 2 4 8 16 32 64 67 134 268 536 557 1,072 1,114 2,144 2,228 4,288 4,456 8,912 17,824 35,648 37,319 74,638 149,276 298,552 597,104 1,194,208 2,388,416

Collatz Trajectory (99 steps to reach 1)

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

2,388,416 1,194,208 597,104 298,552 149,276 74,638 37,319 111,958 55,979 167,938 83,969 251,908 125,954 62,977 188,932 94,466 47,233 141,700 70,850 35,425 106,276 53,138 26,569 79,708 39,854 19,927 59,782 29,891 89,674 44,837 134,512 67,256 33,628 16,814 8,407 25,222 12,611 37,834 18,917 56,752 28,376 14,188 7,094 3,547 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421

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