4,401,617

11³ × 3307

Starting at 4,401,617, the Collatz iteration reaches 1 after 87 steps. The first transition is 13204852; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11^3 × 3307

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,842,912

Proper Divisor Sum 441,295

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #4401601 ← → #4401641

Radix Representation

Decimal	4401617
Binary	10000110010100111010001 (23 bits)
Octal	0o20624721
Hexadecimal	0x4329D1

Divisor Catalog (8)

1 11 121 1,331 3,307 36,377 400,147 4,401,617

Collatz Trajectory (87 steps to reach 1)

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

4,401,617 13,204,852 6,602,426 3,301,213 9,903,640 4,951,820 2,475,910 1,237,955 3,713,866 1,856,933 5,570,800 2,785,400 1,392,700 696,350 348,175 1,044,526 522,263 1,566,790 783,395 2,350,186 1,175,093 3,525,280 1,762,640 881,320 440,660 220,330 110,165 330,496 165,248 82,624 41,312 20,656 10,328 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130

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