4,031,460

2² × 3² × 5 × 22397

Starting at 4,031,460, the Collatz iteration reaches 1 after 185 steps. The first transition is 2015730; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 22397

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 12,229,308

Proper Divisor Sum 8,197,848

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4031453 ← → #4031471

Radix Representation

Decimal	4031460
Binary	1111011000001111100100 (22 bits)
Octal	0o17301744
Hexadecimal	0x3D83E4

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 22,397 44,794 67,191 89,588 111,985 134,382 201,573 223,970 268,764 335,955 403,146 447,940 671,910 806,292 1,007,865 1,343,820 2,015,730 4,031,460

Collatz Trajectory (185 steps to reach 1)

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

4,031,460 2,015,730 1,007,865 3,023,596 1,511,798 755,899 2,267,698 1,133,849 3,401,548 1,700,774 850,387 2,551,162 1,275,581 3,826,744 1,913,372 956,686 478,343 1,435,030 717,515 2,152,546 1,076,273 3,228,820 1,614,410 807,205 2,421,616 1,210,808 605,404 302,702 151,351 454,054 227,027 681,082 340,541 1,021,624 510,812 255,406 127,703 383,110 191,555 574,666 287,333 862,000 431,000 215,500 107,750 53,875 161,626 80,813 242,440 121,220 60,610 30,305 90,916 45,458 22,729 68,188 34,094 17,047 51,142 25,571

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