3,378,596

2² × 13 × 43 × 1511

Starting at 3,378,596, the Collatz iteration reaches 1 after 159 steps. The first transition is 1689298; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 43 × 1511

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,519,744

Proper Divisor Sum 3,141,148

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #3378589 ← → #3378611

Radix Representation

Decimal	3378596
Binary	1100111000110110100100 (22 bits)
Octal	0o14706644
Hexadecimal	0x338DA4

Divisor Catalog (24)

1 2 4 13 26 43 52 86 172 559 1,118 1,511 2,236 3,022 6,044 19,643 39,286 64,973 78,572 129,946 259,892 844,649 1,689,298 3,378,596

Collatz Trajectory (159 steps to reach 1)

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

3,378,596 1,689,298 844,649 2,533,948 1,266,974 633,487 1,900,462 950,231 2,850,694 1,425,347 4,276,042 2,138,021 6,414,064 3,207,032 1,603,516 801,758 400,879 1,202,638 601,319 1,803,958 901,979 2,705,938 1,352,969 4,058,908 2,029,454 1,014,727 3,044,182 1,522,091 4,566,274 2,283,137 6,849,412 3,424,706 1,712,353 5,137,060 2,568,530 1,284,265 3,852,796 1,926,398 963,199 2,889,598 1,444,799 4,334,398 2,167,199 6,501,598 3,250,799 9,752,398 4,876,199 14,628,598 7,314,299 21,942,898 10,971,449 32,914,348 16,457,174 8,228,587 24,685,762 12,342,881 37,028,644 18,514,322 9,257,161 27,771,484

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