3,411,114

2 × 3 × 7 × 241 × 337

Starting at 3,411,114, the Collatz iteration reaches 1 after 84 steps. The first transition is 1705557; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 241 × 337

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,852,416

Proper Divisor Sum 4,441,302

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #3411097 ← → #3411137

Radix Representation

Decimal	3411114
Binary	1101000000110010101010 (22 bits)
Octal	0o15006252
Hexadecimal	0x340CAA

Divisor Catalog (32)

1 2 3 6 7 14 21 42 241 337 482 674 723 1,011 1,446 1,687 2,022 2,359 3,374 4,718 5,061 7,077 10,122 14,154 81,217 162,434 243,651 487,302 568,519 1,137,038 1,705,557 3,411,114

Collatz Trajectory (84 steps to reach 1)

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

3,411,114 1,705,557 5,116,672 2,558,336 1,279,168 639,584 319,792 159,896 79,948 39,974 19,987 59,962 29,981 89,944 44,972 22,486 11,243 33,730 16,865 50,596 25,298 12,649 37,948 18,974 9,487 28,462 14,231 42,694 21,347 64,042 32,021 96,064 48,032 24,016 12,008 6,004 3,002 1,501 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101

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