4,412,859

3 × 11 × 133723

Starting at 4,412,859, the Collatz iteration reaches 1 after 180 steps. The first transition is 13238578; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 133723

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,418,752

Proper Divisor Sum 2,005,893

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4412857 ← → #4412867

Radix Representation

Decimal	4412859
Binary	10000110101010110111011 (23 bits)
Octal	0o20652673
Hexadecimal	0x4355BB

Divisor Catalog (8)

1 3 11 33 133,723 401,169 1,470,953 4,412,859

Collatz Trajectory (180 steps to reach 1)

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

4,412,859 13,238,578 6,619,289 19,857,868 9,928,934 4,964,467 14,893,402 7,446,701 22,340,104 11,170,052 5,585,026 2,792,513 8,377,540 4,188,770 2,094,385 6,283,156 3,141,578 1,570,789 4,712,368 2,356,184 1,178,092 589,046 294,523 883,570 441,785 1,325,356 662,678 331,339 994,018 497,009 1,491,028 745,514 372,757 1,118,272 559,136 279,568 139,784 69,892 34,946 17,473 52,420 26,210 13,105 39,316 19,658 9,829 29,488 14,744 7,372 3,686 1,843 5,530 2,765 8,296 4,148 2,074 1,037 3,112 1,556 778

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