6,754,609

37 × 311 × 587

Starting at 6,754,609, the Collatz iteration reaches 1 after 160 steps. The first transition is 20263828; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 37 × 311 × 587

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,971,328

Proper Divisor Sum 216,719

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #6754607 ← → #6754667

Radix Representation

Decimal	6754609
Binary	11001110001000100110001 (23 bits)
Octal	0o31610461
Hexadecimal	0x671131

Divisor Catalog (8)

1 37 311 587 11,507 21,719 182,557 6,754,609

Collatz Trajectory (160 steps to reach 1)

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

6,754,609 20,263,828 10,131,914 5,065,957 15,197,872 7,598,936 3,799,468 1,899,734 949,867 2,849,602 1,424,801 4,274,404 2,137,202 1,068,601 3,205,804 1,602,902 801,451 2,404,354 1,202,177 3,606,532 1,803,266 901,633 2,704,900 1,352,450 676,225 2,028,676 1,014,338 507,169 1,521,508 760,754 380,377 1,141,132 570,566 285,283 855,850 427,925 1,283,776 641,888 320,944 160,472 80,236 40,118 20,059 60,178 30,089 90,268 45,134 22,567 67,702 33,851 101,554 50,777 152,332 76,166 38,083 114,250 57,125 171,376 85,688 42,844

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