3,292,910

2 × 5 × 23 × 103 × 139

Starting at 3,292,910, the Collatz iteration reaches 1 after 177 steps. The first transition is 1646455; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 23 × 103 × 139

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,289,920

Proper Divisor Sum 2,997,010

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3292907 ← → #3292931

Radix Representation

Decimal	3292910
Binary	1100100011111011101110 (22 bits)
Octal	0o14437356
Hexadecimal	0x323EEE

Divisor Catalog (32)

1 2 5 10 23 46 103 115 139 206 230 278 515 695 1,030 1,390 2,369 3,197 4,738 6,394 11,845 14,317 15,985 23,690 28,634 31,970 71,585 143,170 329,291 658,582 1,646,455 3,292,910

Collatz Trajectory (177 steps to reach 1)

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

3,292,910 1,646,455 4,939,366 2,469,683 7,409,050 3,704,525 11,113,576 5,556,788 2,778,394 1,389,197 4,167,592 2,083,796 1,041,898 520,949 1,562,848 781,424 390,712 195,356 97,678 48,839 146,518 73,259 219,778 109,889 329,668 164,834 82,417 247,252 123,626 61,813 185,440 92,720 46,360 23,180 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581

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