4,116,744

2³ × 3⁴ × 6353

Starting at 4,116,744, the Collatz iteration reaches 1 after 53 steps. The first transition is 2058372; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^4 × 6353

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 11,532,510

Proper Divisor Sum 7,415,766

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4116743 ← → #4116751

Radix Representation

Decimal	4116744
Binary	1111101101000100001000 (22 bits)
Octal	0o17550410
Hexadecimal	0x3ED108

Divisor Catalog (40)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 6,353 12,706 19,059 25,412 38,118 50,824 57,177 76,236 114,354 152,472 171,531 228,708 343,062 457,416 514,593 686,124 1,029,186 1,372,248 2,058,372 4,116,744

Collatz Trajectory (53 steps to reach 1)

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

4,116,744 2,058,372 1,029,186 514,593 1,543,780 771,890 385,945 1,157,836 578,918 289,459 868,378 434,189 1,302,568 651,284 325,642 162,821 488,464 244,232 122,116 61,058 30,529 91,588 45,794 22,897 68,692 34,346 17,173 51,520 25,760 12,880 6,440 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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