3,315,858

2 × 3 × 7 × 13 × 6073

Starting at 3,315,858, the Collatz iteration reaches 1 after 115 steps. The first transition is 1657929; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 13 × 6073

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,163,456

Proper Divisor Sum 4,847,598

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3315857 ← → #3315863

Radix Representation

Decimal	3315858
Binary	1100101001100010010010 (22 bits)
Octal	0o14514222
Hexadecimal	0x329892

Divisor Catalog (32)

1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 6,073 12,146 18,219 36,438 42,511 78,949 85,022 127,533 157,898 236,847 255,066 473,694 552,643 1,105,286 1,657,929 3,315,858

Collatz Trajectory (115 steps to reach 1)

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

3,315,858 1,657,929 4,973,788 2,486,894 1,243,447 3,730,342 1,865,171 5,595,514 2,797,757 8,393,272 4,196,636 2,098,318 1,049,159 3,147,478 1,573,739 4,721,218 2,360,609 7,081,828 3,540,914 1,770,457 5,311,372 2,655,686 1,327,843 3,983,530 1,991,765 5,975,296 2,987,648 1,493,824 746,912 373,456 186,728 93,364 46,682 23,341 70,024 35,012 17,506 8,753 26,260 13,130 6,565 19,696 9,848 4,924 2,462 1,231 3,694 1,847 5,542 2,771 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509

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