3,967,777

11 × 197 × 1831

Starting at 3,967,777, the Collatz iteration reaches 1 after 123 steps. The first transition is 11903332; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 197 × 1831

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,352,832

Proper Divisor Sum 385,055

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #3967741 ← → #3967793

Radix Representation

Decimal	3967777
Binary	1111001000101100100001 (22 bits)
Octal	0o17105441
Hexadecimal	0x3C8B21

Divisor Catalog (8)

1 11 197 1,831 2,167 20,141 360,707 3,967,777

Collatz Trajectory (123 steps to reach 1)

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

3,967,777 11,903,332 5,951,666 2,975,833 8,927,500 4,463,750 2,231,875 6,695,626 3,347,813 10,043,440 5,021,720 2,510,860 1,255,430 627,715 1,883,146 941,573 2,824,720 1,412,360 706,180 353,090 176,545 529,636 264,818 132,409 397,228 198,614 99,307 297,922 148,961 446,884 223,442 111,721 335,164 167,582 83,791 251,374 125,687 377,062 188,531 565,594 282,797 848,392 424,196 212,098 106,049 318,148 159,074 79,537 238,612 119,306 59,653 178,960 89,480 44,740 22,370 11,185 33,556 16,778 8,389 25,168

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