3,347,865

3³ × 5 × 24799

Starting at 3,347,865, the Collatz iteration reaches 1 after 115 steps. The first transition is 10043596; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5 × 24799

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,952,000

Proper Divisor Sum 2,604,135

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3347843 ← → #3347867

Radix Representation

Decimal	3347865
Binary	1100110001010110011001 (22 bits)
Octal	0o14612631
Hexadecimal	0x331599

Divisor Catalog (16)

1 3 5 9 15 27 45 135 24,799 74,397 123,995 223,191 371,985 669,573 1,115,955 3,347,865

Collatz Trajectory (115 steps to reach 1)

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

3,347,865 10,043,596 5,021,798 2,510,899 7,532,698 3,766,349 11,299,048 5,649,524 2,824,762 1,412,381 4,237,144 2,118,572 1,059,286 529,643 1,588,930 794,465 2,383,396 1,191,698 595,849 1,787,548 893,774 446,887 1,340,662 670,331 2,010,994 1,005,497 3,016,492 1,508,246 754,123 2,262,370 1,131,185 3,393,556 1,696,778 848,389 2,545,168 1,272,584 636,292 318,146 159,073 477,220 238,610 119,305 357,916 178,958 89,479 268,438 134,219 402,658 201,329 603,988 301,994 150,997 452,992 226,496 113,248 56,624 28,312 14,156 7,078 3,539

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