4,951,635

3 × 5 × 13 × 67 × 379

Starting at 4,951,635, the Collatz iteration reaches 1 after 118 steps. The first transition is 14854906; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 67 × 379

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,682,240

Proper Divisor Sum 3,730,605

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4951633 ← → #4951637

Radix Representation

Decimal	4951635
Binary	10010111000111001010011 (23 bits)
Octal	0o22707123
Hexadecimal	0x4B8E53

Divisor Catalog (32)

1 3 5 13 15 39 65 67 195 201 335 379 871 1,005 1,137 1,895 2,613 4,355 4,927 5,685 13,065 14,781 24,635 25,393 73,905 76,179 126,965 330,109 380,895 990,327 1,650,545 4,951,635

Collatz Trajectory (118 steps to reach 1)

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

4,951,635 14,854,906 7,427,453 22,282,360 11,141,180 5,570,590 2,785,295 8,355,886 4,177,943 12,533,830 6,266,915 18,800,746 9,400,373 28,201,120 14,100,560 7,050,280 3,525,140 1,762,570 881,285 2,643,856 1,321,928 660,964 330,482 165,241 495,724 247,862 123,931 371,794 185,897 557,692 278,846 139,423 418,270 209,135 627,406 313,703 941,110 470,555 1,411,666 705,833 2,117,500 1,058,750 529,375 1,588,126 794,063 2,382,190 1,191,095 3,573,286 1,786,643 5,359,930 2,679,965 8,039,896 4,019,948 2,009,974 1,004,987 3,014,962 1,507,481 4,522,444 2,261,222 1,130,611

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