8,602,480

2⁴ × 5 × 293 × 367

Starting at 8,602,480, the Collatz iteration reaches 1 after 168 steps. The first transition is 4301240; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 293 × 367

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 20,123,712

Proper Divisor Sum 11,521,232

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8602471 ← → #8602481

Radix Representation

Decimal	8602480
Binary	100000110100001101110000 (24 bits)
Octal	0o40641560
Hexadecimal	0x834370

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 293 367 586 734 1,172 1,465 1,468 1,835 2,344 2,930 2,936 3,670 4,688 5,860 5,872 7,340 11,720 14,680 23,440 29,360 107,531 215,062 430,124 537,655 860,248 1,075,310 1,720,496 2,150,620 4,301,240 8,602,480

Collatz Trajectory (168 steps to reach 1)

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

8,602,480 4,301,240 2,150,620 1,075,310 537,655 1,612,966 806,483 2,419,450 1,209,725 3,629,176 1,814,588 907,294 453,647 1,360,942 680,471 2,041,414 1,020,707 3,062,122 1,531,061 4,593,184 2,296,592 1,148,296 574,148 287,074 143,537 430,612 215,306 107,653 322,960 161,480 80,740 40,370 20,185 60,556 30,278 15,139 45,418 22,709 68,128 34,064 17,032 8,516 4,258 2,129 6,388 3,194 1,597 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253

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