3,562,736

2⁴ × 41 × 5431

Starting at 3,562,736, the Collatz iteration reaches 1 after 172 steps. The first transition is 1781368; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 41 × 5431

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 7,072,464

Proper Divisor Sum 3,509,728

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3562733 ← → #3562751

Radix Representation

Decimal	3562736
Binary	1101100101110011110000 (22 bits)
Octal	0o15456360
Hexadecimal	0x365CF0

Divisor Catalog (20)

1 2 4 8 16 41 82 164 328 656 5,431 10,862 21,724 43,448 86,896 222,671 445,342 890,684 1,781,368 3,562,736

Collatz Trajectory (172 steps to reach 1)

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

3,562,736 1,781,368 890,684 445,342 222,671 668,014 334,007 1,002,022 501,011 1,503,034 751,517 2,254,552 1,127,276 563,638 281,819 845,458 422,729 1,268,188 634,094 317,047 951,142 475,571 1,426,714 713,357 2,140,072 1,070,036 535,018 267,509 802,528 401,264 200,632 100,316 50,158 25,079 75,238 37,619 112,858 56,429 169,288 84,644 42,322 21,161 63,484 31,742 15,871 47,614 23,807 71,422 35,711 107,134 53,567 160,702 80,351 241,054 120,527 361,582 180,791 542,374 271,187 813,562

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