3,379,704

2³ × 3 × 53 × 2657

Starting at 3,379,704, the Collatz iteration reaches 1 after 177 steps. The first transition is 1689852; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 53 × 2657

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,611,920

Proper Divisor Sum 5,232,216

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3379687 ← → #3379709

Radix Representation

Decimal	3379704
Binary	1100111001000111111000 (22 bits)
Octal	0o14710770
Hexadecimal	0x3391F8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1,272 2,657 5,314 7,971 10,628 15,942 21,256 31,884 63,768 140,821 281,642 422,463 563,284 844,926 1,126,568 1,689,852 3,379,704

Collatz Trajectory (177 steps to reach 1)

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

3,379,704 1,689,852 844,926 422,463 1,267,390 633,695 1,901,086 950,543 2,851,630 1,425,815 4,277,446 2,138,723 6,416,170 3,208,085 9,624,256 4,812,128 2,406,064 1,203,032 601,516 300,758 150,379 451,138 225,569 676,708 338,354 169,177 507,532 253,766 126,883 380,650 190,325 570,976 285,488 142,744 71,372 35,686 17,843 53,530 26,765 80,296 40,148 20,074 10,037 30,112 15,056 7,528 3,764 1,882 941 2,824 1,412 706 353 1,060 530 265 796 398 199 598

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