4,347,875

5³ × 7 × 4969

Starting at 4,347,875, the Collatz iteration reaches 1 after 118 steps. The first transition is 13043626; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 7 × 4969

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,202,560

Proper Divisor Sum 1,854,685

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #4347857 ← → #4347877

Radix Representation

Decimal	4347875
Binary	10000100101011111100011 (23 bits)
Octal	0o20453743
Hexadecimal	0x4257E3

Divisor Catalog (16)

1 5 7 25 35 125 175 875 4,969 24,845 34,783 124,225 173,915 621,125 869,575 4,347,875

Collatz Trajectory (118 steps to reach 1)

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

4,347,875 13,043,626 6,521,813 19,565,440 9,782,720 4,891,360 2,445,680 1,222,840 611,420 305,710 152,855 458,566 229,283 687,850 343,925 1,031,776 515,888 257,944 128,972 64,486 32,243 96,730 48,365 145,096 72,548 36,274 18,137 54,412 27,206 13,603 40,810 20,405 61,216 30,608 15,304 7,652 3,826 1,913 5,740 2,870 1,435 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767

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