3,623,264

2⁵ × 113227

Starting at 3,623,264, the Collatz iteration reaches 1 after 159 steps. The first transition is 1811632; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 113227

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,133,364

Proper Divisor Sum 3,510,100

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3623251 ← → #3623267

Radix Representation

Decimal	3623264
Binary	1101110100100101100000 (22 bits)
Octal	0o15644540
Hexadecimal	0x374960

Divisor Catalog (12)

1 2 4 8 16 32 113,227 226,454 452,908 905,816 1,811,632 3,623,264

Collatz Trajectory (159 steps to reach 1)

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

3,623,264 1,811,632 905,816 452,908 226,454 113,227 339,682 169,841 509,524 254,762 127,381 382,144 191,072 95,536 47,768 23,884 11,942 5,971 17,914 8,957 26,872 13,436 6,718 3,359 10,078 5,039 15,118 7,559 22,678 11,339 34,018 17,009 51,028 25,514 12,757 38,272 19,136 9,568 4,784 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646

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