5,621,642

2 × 13 × 216217

Starting at 5,621,642, the Collatz iteration reaches 1 after 157 steps. The first transition is 2810821; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 216217

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,081,156

Proper Divisor Sum 3,459,514

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #5621617 ← → #5621653

Radix Representation

Decimal	5621642
Binary	10101011100011110001010 (23 bits)
Octal	0o25343612
Hexadecimal	0x55C78A

Divisor Catalog (8)

1 2 13 26 216,217 432,434 2,810,821 5,621,642

Collatz Trajectory (157 steps to reach 1)

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

5,621,642 2,810,821 8,432,464 4,216,232 2,108,116 1,054,058 527,029 1,581,088 790,544 395,272 197,636 98,818 49,409 148,228 74,114 37,057 111,172 55,586 27,793 83,380 41,690 20,845 62,536 31,268 15,634 7,817 23,452 11,726 5,863 17,590 8,795 26,386 13,193 39,580 19,790 9,895 29,686 14,843 44,530 22,265 66,796 33,398 16,699 50,098 25,049 75,148 37,574 18,787 56,362 28,181 84,544 42,272 21,136 10,568 5,284 2,642 1,321 3,964 1,982 991

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