3,999,009

3 × 7 × 53 × 3593

Starting at 3,999,009, the Collatz iteration reaches 1 after 154 steps. The first transition is 11997028; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 53 × 3593

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,210,432

Proper Divisor Sum 2,211,423

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3999001 ← → #3999053

Radix Representation

Decimal	3999009
Binary	1111010000010100100001 (22 bits)
Octal	0o17202441
Hexadecimal	0x3D0521

Divisor Catalog (16)

1 3 7 21 53 159 371 1,113 3,593 10,779 25,151 75,453 190,429 571,287 1,333,003 3,999,009

Collatz Trajectory (154 steps to reach 1)

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

3,999,009 11,997,028 5,998,514 2,999,257 8,997,772 4,498,886 2,249,443 6,748,330 3,374,165 10,122,496 5,061,248 2,530,624 1,265,312 632,656 316,328 158,164 79,082 39,541 118,624 59,312 29,656 14,828 7,414 3,707 11,122 5,561 16,684 8,342 4,171 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121

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