3,496,324

2² × 13 × 71 × 947

Starting at 3,496,324, the Collatz iteration reaches 1 after 190 steps. The first transition is 1748162; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 71 × 947

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,689,088

Proper Divisor Sum 3,192,764

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3496313 ← → #3496343

Radix Representation

Decimal	3496324
Binary	1101010101100110000100 (22 bits)
Octal	0o15254604
Hexadecimal	0x355984

Divisor Catalog (24)

1 2 4 13 26 52 71 142 284 923 947 1,846 1,894 3,692 3,788 12,311 24,622 49,244 67,237 134,474 268,948 874,081 1,748,162 3,496,324

Collatz Trajectory (190 steps to reach 1)

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

3,496,324 1,748,162 874,081 2,622,244 1,311,122 655,561 1,966,684 983,342 491,671 1,475,014 737,507 2,212,522 1,106,261 3,318,784 1,659,392 829,696 414,848 207,424 103,712 51,856 25,928 12,964 6,482 3,241 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706

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