6,444,641

7 × 29 × 53 × 599

Starting at 6,444,641, the Collatz iteration reaches 1 after 72 steps. The first transition is 19333924; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 29 × 53 × 599

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,776,000

Proper Divisor Sum 1,331,359

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #6444637 ← → #6444653

Radix Representation

Decimal	6444641
Binary	11000100101011001100001 (23 bits)
Octal	0o30453141
Hexadecimal	0x625661

Divisor Catalog (16)

1 7 29 53 203 371 599 1,537 4,193 10,759 17,371 31,747 121,597 222,229 920,663 6,444,641

Collatz Trajectory (72 steps to reach 1)

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

6,444,641 19,333,924 9,666,962 4,833,481 14,500,444 7,250,222 3,625,111 10,875,334 5,437,667 16,313,002 8,156,501 24,469,504 12,234,752 6,117,376 3,058,688 1,529,344 764,672 382,336 191,168 95,584 47,792 23,896 11,948 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34

← Previous Integer #6,444,640 Browse Full Index Next Integer #6,444,642 →