4,161,465

3² × 5 × 7 × 11 × 1201

Starting at 4,161,465, the Collatz iteration reaches 1 after 198 steps. The first transition is 12484396; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 11 × 1201

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,000,576

Proper Divisor Sum 4,839,111

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4161463 ← → #4161499

Radix Representation

Decimal	4161465
Binary	1111110111111110111001 (22 bits)
Octal	0o17677671
Hexadecimal	0x3F7FB9

Divisor Catalog (48)

1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1,155 1,201 3,465 3,603 6,005 8,407 10,809 13,211 18,015 25,221 39,633 42,035 54,045 66,055 75,663 92,477 118,899 126,105 198,165 277,431 378,315 462,385 594,495 832,293 1,387,155 4,161,465

Collatz Trajectory (198 steps to reach 1)

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

4,161,465 12,484,396 6,242,198 3,121,099 9,363,298 4,681,649 14,044,948 7,022,474 3,511,237 10,533,712 5,266,856 2,633,428 1,316,714 658,357 1,975,072 987,536 493,768 246,884 123,442 61,721 185,164 92,582 46,291 138,874 69,437 208,312 104,156 52,078 26,039 78,118 39,059 117,178 58,589 175,768 87,884 43,942 21,971 65,914 32,957 98,872 49,436 24,718 12,359 37,078 18,539 55,618 27,809 83,428 41,714 20,857 62,572 31,286 15,643 46,930 23,465 70,396 35,198 17,599 52,798 26,399

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