736,548

2² × 3 × 61379

Starting at 736,548, the Collatz iteration reaches 1 after 74 steps. The first transition is 368274; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 61379

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,718,640

Proper Divisor Sum 982,092

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #736511 ← → #736577

Radix Representation

Decimal	736548
Binary	10110011110100100100 (20 bits)
Octal	0o2636444
Hexadecimal	0xB3D24

Divisor Catalog (12)

1 2 3 4 6 12 61,379 122,758 184,137 245,516 368,274 736,548

Collatz Trajectory (74 steps to reach 1)

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

736,548 368,274 184,137 552,412 276,206 138,103 414,310 207,155 621,466 310,733 932,200 466,100 233,050 116,525 349,576 174,788 87,394 43,697 131,092 65,546 32,773 98,320 49,160 24,580 12,290 6,145 18,436 9,218 4,609 13,828 6,914 3,457 10,372 5,186 2,593 7,780 3,890 1,945 5,836 2,918 1,459 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22

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