3,386,577

3 × 631 × 1789

Starting at 3,386,577, the Collatz iteration reaches 1 after 159 steps. The first transition is 10159732; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 631 × 1789

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,525,120

Proper Divisor Sum 1,138,543

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3386569 ← → #3386597

Radix Representation

Decimal	3386577
Binary	1100111010110011010001 (22 bits)
Octal	0o14726321
Hexadecimal	0x33ACD1

Divisor Catalog (8)

1 3 631 1,789 1,893 5,367 1,128,859 3,386,577

Collatz Trajectory (159 steps to reach 1)

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

3,386,577 10,159,732 5,079,866 2,539,933 7,619,800 3,809,900 1,904,950 952,475 2,857,426 1,428,713 4,286,140 2,143,070 1,071,535 3,214,606 1,607,303 4,821,910 2,410,955 7,232,866 3,616,433 10,849,300 5,424,650 2,712,325 8,136,976 4,068,488 2,034,244 1,017,122 508,561 1,525,684 762,842 381,421 1,144,264 572,132 286,066 143,033 429,100 214,550 107,275 321,826 160,913 482,740 241,370 120,685 362,056 181,028 90,514 45,257 135,772 67,886 33,943 101,830 50,915 152,746 76,373 229,120 114,560 57,280 28,640 14,320 7,160 3,580

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