4,467,634

2 × 17 × 101 × 1301

Starting at 4,467,634, the Collatz iteration reaches 1 after 118 steps. The first transition is 2233817; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 101 × 1301

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,171,416

Proper Divisor Sum 2,703,782

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4467613 ← → #4467643

Radix Representation

Decimal	4467634
Binary	10001000010101110110010 (23 bits)
Octal	0o21025662
Hexadecimal	0x442BB2

Divisor Catalog (16)

1 2 17 34 101 202 1,301 1,717 2,602 3,434 22,117 44,234 131,401 262,802 2,233,817 4,467,634

Collatz Trajectory (118 steps to reach 1)

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

4,467,634 2,233,817 6,701,452 3,350,726 1,675,363 5,026,090 2,513,045 7,539,136 3,769,568 1,884,784 942,392 471,196 235,598 117,799 353,398 176,699 530,098 265,049 795,148 397,574 198,787 596,362 298,181 894,544 447,272 223,636 111,818 55,909 167,728 83,864 41,932 20,966 10,483 31,450 15,725 47,176 23,588 11,794 5,897 17,692 8,846 4,423 13,270 6,635 19,906 9,953 29,860 14,930 7,465 22,396 11,198 5,599 16,798 8,399 25,198 12,599 37,798 18,899 56,698 28,349

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