4,618,416

2⁴ × 3 × 11 × 8747

Starting at 4,618,416, the Collatz iteration reaches 1 after 87 steps. The first transition is 2309208; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 11 × 8747

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 13,017,024

Proper Divisor Sum 8,398,608

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4618409 ← → #4618429

Radix Representation

Decimal	4618416
Binary	10001100111100010110000 (23 bits)
Octal	0o21474260
Hexadecimal	0x4678B0

Divisor Catalog (40)

1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 8,747 17,494 26,241 34,988 52,482 69,976 96,217 104,964 139,952 192,434 209,928 288,651 384,868 419,856 577,302 769,736 1,154,604 1,539,472 2,309,208 4,618,416

Collatz Trajectory (87 steps to reach 1)

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

4,618,416 2,309,208 1,154,604 577,302 288,651 865,954 432,977 1,298,932 649,466 324,733 974,200 487,100 243,550 121,775 365,326 182,663 547,990 273,995 821,986 410,993 1,232,980 616,490 308,245 924,736 462,368 231,184 115,592 57,796 28,898 14,449 43,348 21,674 10,837 32,512 16,256 8,128 4,064 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820

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