3,357,646

2 × 1129 × 1487

Starting at 3,357,646, the Collatz iteration reaches 1 after 177 steps. The first transition is 1678823; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 1129 × 1487

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,044,320

Proper Divisor Sum 1,686,674

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3357593 ← → #3357667

Radix Representation

Decimal	3357646
Binary	1100110011101111001110 (22 bits)
Octal	0o14635716
Hexadecimal	0x333BCE

Divisor Catalog (8)

1 2 1,129 1,487 2,258 2,974 1,678,823 3,357,646

Collatz Trajectory (177 steps to reach 1)

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

3,357,646 1,678,823 5,036,470 2,518,235 7,554,706 3,777,353 11,332,060 5,666,030 2,833,015 8,499,046 4,249,523 12,748,570 6,374,285 19,122,856 9,561,428 4,780,714 2,390,357 7,171,072 3,585,536 1,792,768 896,384 448,192 224,096 112,048 56,024 28,012 14,006 7,003 21,010 10,505 31,516 15,758 7,879 23,638 11,819 35,458 17,729 53,188 26,594 13,297 39,892 19,946 9,973 29,920 14,960 7,480 3,740 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554

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