8,458,684

2² × 13 × 47 × 3461

Starting at 8,458,684, the Collatz iteration reaches 1 after 168 steps. The first transition is 4229342; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 47 × 3461

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,285,248

Proper Divisor Sum 7,826,564

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #8458679 ← → #8458721

Radix Representation

Decimal	8458684
Binary	100000010001000110111100 (24 bits)
Octal	0o40210674
Hexadecimal	0x8111BC

Divisor Catalog (24)

1 2 4 13 26 47 52 94 188 611 1,222 2,444 3,461 6,922 13,844 44,993 89,986 162,667 179,972 325,334 650,668 2,114,671 4,229,342 8,458,684

Collatz Trajectory (168 steps to reach 1)

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

8,458,684 4,229,342 2,114,671 6,344,014 3,172,007 9,516,022 4,758,011 14,274,034 7,137,017 21,411,052 10,705,526 5,352,763 16,058,290 8,029,145 24,087,436 12,043,718 6,021,859 18,065,578 9,032,789 27,098,368 13,549,184 6,774,592 3,387,296 1,693,648 846,824 423,412 211,706 105,853 317,560 158,780 79,390 39,695 119,086 59,543 178,630 89,315 267,946 133,973 401,920 200,960 100,480 50,240 25,120 12,560 6,280 3,140 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250

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