3,357,926

2 × 11 × 13 × 59 × 199

Starting at 3,357,926, the Collatz iteration reaches 1 after 177 steps. The first transition is 1678963; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 59 × 199

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,048,000

Proper Divisor Sum 2,690,074

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3357901 ← → #3357929

Radix Representation

Decimal	3357926
Binary	1100110011110011100110 (22 bits)
Octal	0o14636346
Hexadecimal	0x333CE6

Divisor Catalog (32)

1 2 11 13 22 26 59 118 143 199 286 398 649 767 1,298 1,534 2,189 2,587 4,378 5,174 8,437 11,741 16,874 23,482 28,457 56,914 129,151 152,633 258,302 305,266 1,678,963 3,357,926

Collatz Trajectory (177 steps to reach 1)

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

3,357,926 1,678,963 5,036,890 2,518,445 7,555,336 3,777,668 1,888,834 944,417 2,833,252 1,416,626 708,313 2,124,940 1,062,470 531,235 1,593,706 796,853 2,390,560 1,195,280 597,640 298,820 149,410 74,705 224,116 112,058 56,029 168,088 84,044 42,022 21,011 63,034 31,517 94,552 47,276 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

← Previous Integer #3,357,925 Browse Full Index Next Integer #3,357,927 →