5,259,480

2³ × 3 × 5 × 41 × 1069

Starting at 5,259,480, the Collatz iteration reaches 1 after 149 steps. The first transition is 2629740; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 41 × 1069

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 16,178,400

Proper Divisor Sum 10,918,920

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #5259473 ← → #5259487

Radix Representation

Decimal	5259480
Binary	10100000100000011011000 (23 bits)
Octal	0o24040330
Hexadecimal	0x5040D8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1,069 1,230 1,640 2,138 2,460 3,207 4,276 4,920 5,345 6,414 8,552 10,690 12,828 16,035 21,380 25,656 32,070 42,760 43,829 64,140 87,658 128,280 131,487 175,316 219,145 262,974 350,632 438,290 525,948 657,435 876,580 1,051,896

Collatz Trajectory (149 steps to reach 1)

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

5,259,480 2,629,740 1,314,870 657,435 1,972,306 986,153 2,958,460 1,479,230 739,615 2,218,846 1,109,423 3,328,270 1,664,135 4,992,406 2,496,203 7,488,610 3,744,305 11,232,916 5,616,458 2,808,229 8,424,688 4,212,344 2,106,172 1,053,086 526,543 1,579,630 789,815 2,369,446 1,184,723 3,554,170 1,777,085 5,331,256 2,665,628 1,332,814 666,407 1,999,222 999,611 2,998,834 1,499,417 4,498,252 2,249,126 1,124,563 3,373,690 1,686,845 5,060,536 2,530,268 1,265,134 632,567 1,897,702 948,851 2,846,554 1,423,277 4,269,832 2,134,916 1,067,458 533,729 1,601,188 800,594 400,297 1,200,892

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