3,442,616

2³ × 653 × 659

Starting at 3,442,616, the Collatz iteration reaches 1 after 221 steps. The first transition is 1721308; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 653 × 659

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,474,600

Proper Divisor Sum 3,031,984

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3442597 ← → #3442631

Radix Representation

Decimal	3442616
Binary	1101001000011110111000 (22 bits)
Octal	0o15103670
Hexadecimal	0x3487B8

Divisor Catalog (16)

1 2 4 8 653 659 1,306 1,318 2,612 2,636 5,224 5,272 430,327 860,654 1,721,308 3,442,616

Collatz Trajectory (221 steps to reach 1)

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

3,442,616 1,721,308 860,654 430,327 1,290,982 645,491 1,936,474 968,237 2,904,712 1,452,356 726,178 363,089 1,089,268 544,634 272,317 816,952 408,476 204,238 102,119 306,358 153,179 459,538 229,769 689,308 344,654 172,327 516,982 258,491 775,474 387,737 1,163,212 581,606 290,803 872,410 436,205 1,308,616 654,308 327,154 163,577 490,732 245,366 122,683 368,050 184,025 552,076 276,038 138,019 414,058 207,029 621,088 310,544 155,272 77,636 38,818 19,409 58,228 29,114 14,557 43,672 21,836

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