4,586,667

3 × 31 × 149 × 331

Starting at 4,586,667, the Collatz iteration reaches 1 after 105 steps. The first transition is 13760002; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 31 × 149 × 331

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,374,400

Proper Divisor Sum 1,787,733

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #4586653 ← → #4586689

Radix Representation

Decimal	4586667
Binary	10001011111110010101011 (23 bits)
Octal	0o21376253
Hexadecimal	0x45FCAB

Divisor Catalog (16)

1 3 31 93 149 331 447 993 4,619 10,261 13,857 30,783 49,319 147,957 1,528,889 4,586,667

Collatz Trajectory (105 steps to reach 1)

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

4,586,667 13,760,002 6,880,001 20,640,004 10,320,002 5,160,001 15,480,004 7,740,002 3,870,001 11,610,004 5,805,002 2,902,501 8,707,504 4,353,752 2,176,876 1,088,438 544,219 1,632,658 816,329 2,448,988 1,224,494 612,247 1,836,742 918,371 2,755,114 1,377,557 4,132,672 2,066,336 1,033,168 516,584 258,292 129,146 64,573 193,720 96,860 48,430 24,215 72,646 36,323 108,970 54,485 163,456 81,728 40,864 20,432 10,216 5,108 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858

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