3,336,830

2 × 5 × 7 × 73 × 653

Starting at 3,336,830, the Collatz iteration reaches 1 after 164 steps. The first transition is 1668415; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 73 × 653

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,969,024

Proper Divisor Sum 3,632,194

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3336829 ← → #3336833

Radix Representation

Decimal	3336830
Binary	1100101110101001111110 (22 bits)
Octal	0o14565176
Hexadecimal	0x32EA7E

Divisor Catalog (32)

1 2 5 7 10 14 35 70 73 146 365 511 653 730 1,022 1,306 2,555 3,265 4,571 5,110 6,530 9,142 22,855 45,710 47,669 95,338 238,345 333,683 476,690 667,366 1,668,415 3,336,830

Collatz Trajectory (164 steps to reach 1)

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

3,336,830 1,668,415 5,005,246 2,502,623 7,507,870 3,753,935 11,261,806 5,630,903 16,892,710 8,446,355 25,339,066 12,669,533 38,008,600 19,004,300 9,502,150 4,751,075 14,253,226 7,126,613 21,379,840 10,689,920 5,344,960 2,672,480 1,336,240 668,120 334,060 167,030 83,515 250,546 125,273 375,820 187,910 93,955 281,866 140,933 422,800 211,400 105,700 52,850 26,425 79,276 39,638 19,819 59,458 29,729 89,188 44,594 22,297 66,892 33,446 16,723 50,170 25,085 75,256 37,628 18,814 9,407 28,222 14,111 42,334 21,167

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