5,597,360

2⁴ × 5 × 31 × 37 × 61

Starting at 5,597,360, the Collatz iteration reaches 1 after 108 steps. The first transition is 2798680; the starting value is even with 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 31 × 37 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 14,022,912

Proper Divisor Sum 8,425,552

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #5597351 ← → #5597363

Radix Representation

Decimal	5597360
Binary	10101010110100010110000 (23 bits)
Octal	0o25264260
Hexadecimal	0x5568B0

Divisor Catalog (60 of 80)

1 2 4 5 8 10 16 20 31 37 40 61 62 74 80 122 124 148 155 185 244 248 296 305 310 370 488 496 592 610 620 740 976 1,147 1,220 1,240 1,480 1,891 2,257 2,294 2,440 2,480 2,960 3,782 4,514 4,588 4,880 5,735 7,564 9,028 9,176 9,455 11,285 11,470 15,128 18,056 18,352 18,910 22,570 22,940

Collatz Trajectory (108 steps to reach 1)

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

5,597,360 2,798,680 1,399,340 699,670 349,835 1,049,506 524,753 1,574,260 787,130 393,565 1,180,696 590,348 295,174 147,587 442,762 221,381 664,144 332,072 166,036 83,018 41,509 124,528 62,264 31,132 15,566 7,783 23,350 11,675 35,026 17,513 52,540 26,270 13,135 39,406 19,703 59,110 29,555 88,666 44,333 133,000 66,500 33,250 16,625 49,876 24,938 12,469 37,408 18,704 9,352 4,676 2,338 1,169 3,508 1,754 877 2,632 1,316 658 329 988

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