3,388,476

2² × 3 × 7 × 13 × 29 × 107

Starting at 3,388,476, the Collatz iteration reaches 1 after 159 steps. The first transition is 1694238; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 13 × 29 × 107

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 10,160,640

Proper Divisor Sum 6,772,164

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3388471 ← → #3388477

Radix Representation

Decimal	3388476
Binary	1100111011010000111100 (22 bits)
Octal	0o14732074
Hexadecimal	0x33B43C

Divisor Catalog (60 of 96)

1 2 3 4 6 7 12 13 14 21 26 28 29 39 42 52 58 78 84 87 91 107 116 156 174 182 203 214 273 321 348 364 377 406 428 546 609 642 749 754 812 1,092 1,131 1,218 1,284 1,391 1,498 1,508 2,247 2,262 2,436 2,639 2,782 2,996 3,103 4,173 4,494 4,524 5,278 5,564

Collatz Trajectory (159 steps to reach 1)

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

3,388,476 1,694,238 847,119 2,541,358 1,270,679 3,812,038 1,906,019 5,718,058 2,859,029 8,577,088 4,288,544 2,144,272 1,072,136 536,068 268,034 134,017 402,052 201,026 100,513 301,540 150,770 75,385 226,156 113,078 56,539 169,618 84,809 254,428 127,214 63,607 190,822 95,411 286,234 143,117 429,352 214,676 107,338 53,669 161,008 80,504 40,252 20,126 10,063 30,190 15,095 45,286 22,643 67,930 33,965 101,896 50,948 25,474 12,737 38,212 19,106 9,553 28,660 14,330 7,165 21,496

← Previous Integer #3,388,475 Browse Full Index Next Integer #3,388,477 →