8,308,256

2⁵ × 11 × 23603

Starting at 8,308,256, the Collatz iteration reaches 1 after 155 steps. The first transition is 4154128; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 11 × 23603

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,844,624

Proper Divisor Sum 9,536,368

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8308247 ← → #8308259

Radix Representation

Decimal	8308256
Binary	11111101100011000100000 (23 bits)
Octal	0o37543040
Hexadecimal	0x7EC620

Divisor Catalog (24)

1 2 4 8 11 16 22 32 44 88 176 352 23,603 47,206 94,412 188,824 259,633 377,648 519,266 755,296 1,038,532 2,077,064 4,154,128 8,308,256

Collatz Trajectory (155 steps to reach 1)

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

8,308,256 4,154,128 2,077,064 1,038,532 519,266 259,633 778,900 389,450 194,725 584,176 292,088 146,044 73,022 36,511 109,534 54,767 164,302 82,151 246,454 123,227 369,682 184,841 554,524 277,262 138,631 415,894 207,947 623,842 311,921 935,764 467,882 233,941 701,824 350,912 175,456 87,728 43,864 21,932 10,966 5,483 16,450 8,225 24,676 12,338 6,169 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788

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