6,445,764

2² × 3³ × 13 × 4591

Starting at 6,445,764, the Collatz iteration reaches 1 after 72 steps. The first transition is 3222882; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 13 × 4591

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 18,000,640

Proper Divisor Sum 11,554,876

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6445757 ← → #6445793

Radix Representation

Decimal	6445764
Binary	11000100101101011000100 (23 bits)
Octal	0o30455304
Hexadecimal	0x625AC4

Divisor Catalog (48)

1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1,404 4,591 9,182 13,773 18,364 27,546 41,319 55,092 59,683 82,638 119,366 123,957 165,276 179,049 238,732 247,914 358,098 495,828 537,147 716,196 1,074,294 1,611,441 2,148,588 3,222,882 6,445,764

Collatz Trajectory (72 steps to reach 1)

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

6,445,764 3,222,882 1,611,441 4,834,324 2,417,162 1,208,581 3,625,744 1,812,872 906,436 453,218 226,609 679,828 339,914 169,957 509,872 254,936 127,468 63,734 31,867 95,602 47,801 143,404 71,702 35,851 107,554 53,777 161,332 80,666 40,333 121,000 60,500 30,250 15,125 45,376 22,688 11,344 5,672 2,836 1,418 709 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34

← Previous Integer #6,445,763 Browse Full Index Next Integer #6,445,765 →