3,386,347

31 × 313 × 349

Starting at 3,386,347, the Collatz iteration reaches 1 after 133 steps. The first transition is 10159042; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 31 × 313 × 349

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,516,800

Proper Divisor Sum 130,453

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3386321 ← → #3386353

Radix Representation

Decimal	3386347
Binary	1100111010101111101011 (22 bits)
Octal	0o14725753
Hexadecimal	0x33ABEB

Divisor Catalog (8)

1 31 313 349 9,703 10,819 109,237 3,386,347

Collatz Trajectory (133 steps to reach 1)

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

3,386,347 10,159,042 5,079,521 15,238,564 7,619,282 3,809,641 11,428,924 5,714,462 2,857,231 8,571,694 4,285,847 12,857,542 6,428,771 19,286,314 9,643,157 28,929,472 14,464,736 7,232,368 3,616,184 1,808,092 904,046 452,023 1,356,070 678,035 2,034,106 1,017,053 3,051,160 1,525,580 762,790 381,395 1,144,186 572,093 1,716,280 858,140 429,070 214,535 643,606 321,803 965,410 482,705 1,448,116 724,058 362,029 1,086,088 543,044 271,522 135,761 407,284 203,642 101,821 305,464 152,732 76,366 38,183 114,550 57,275 171,826 85,913 257,740 128,870

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