4,402,309

61 × 72169

Starting at 4,402,309, the Collatz iteration reaches 1 after 198 steps. The first transition is 13206928; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 61 × 72169

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 4,474,540

Proper Divisor Sum 72,231

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #4402291 ← → #4402327

Radix Representation

Decimal	4402309
Binary	10000110010110010000101 (23 bits)
Octal	0o20626205
Hexadecimal	0x432C85

Divisor Catalog (4)

1 61 72,169 4,402,309

Collatz Trajectory (198 steps to reach 1)

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

4,402,309 13,206,928 6,603,464 3,301,732 1,650,866 825,433 2,476,300 1,238,150 619,075 1,857,226 928,613 2,785,840 1,392,920 696,460 348,230 174,115 522,346 261,173 783,520 391,760 195,880 97,940 48,970 24,485 73,456 36,728 18,364 9,182 4,591 13,774 6,887 20,662 10,331 30,994 15,497 46,492 23,246 11,623 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846 29,423 88,270 44,135 132,406 66,203 198,610 99,305 297,916 148,958 74,479 223,438 111,719 335,158 167,579

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