3,777,928

2³ × 7 × 11 × 6133

Starting at 3,777,928, the Collatz iteration reaches 1 after 154 steps. The first transition is 1888964; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 11 × 6133

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,832,960

Proper Divisor Sum 5,055,032

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #3777923 ← → #3777931

Radix Representation

Decimal	3777928
Binary	1110011010010110001000 (22 bits)
Octal	0o16322610
Hexadecimal	0x39A588

Divisor Catalog (32)

1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 6,133 12,266 24,532 42,931 49,064 67,463 85,862 134,926 171,724 269,852 343,448 472,241 539,704 944,482 1,888,964 3,777,928

Collatz Trajectory (154 steps to reach 1)

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

3,777,928 1,888,964 944,482 472,241 1,416,724 708,362 354,181 1,062,544 531,272 265,636 132,818 66,409 199,228 99,614 49,807 149,422 74,711 224,134 112,067 336,202 168,101 504,304 252,152 126,076 63,038 31,519 94,558 47,279 141,838 70,919 212,758 106,379 319,138 159,569 478,708 239,354 119,677 359,032 179,516 89,758 44,879 134,638 67,319 201,958 100,979 302,938 151,469 454,408 227,204 113,602 56,801 170,404 85,202 42,601 127,804 63,902 31,951 95,854 47,927 143,782

← Previous Integer #3,777,927 Browse Full Index Next Integer #3,777,929 →