5,756,560

2⁴ × 5 × 47 × 1531

Starting at 5,756,560, the Collatz iteration reaches 1 after 69 steps. The first transition is 2878280; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 47 × 1531

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 13,677,696

Proper Divisor Sum 7,921,136

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #5756521 ← → #5756579

Radix Representation

Decimal	5756560
Binary	10101111101011010010000 (23 bits)
Octal	0o25753220
Hexadecimal	0x57D690

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1,531 1,880 3,062 3,760 6,124 7,655 12,248 15,310 24,496 30,620 61,240 71,957 122,480 143,914 287,828 359,785 575,656 719,570 1,151,312 1,439,140 2,878,280 5,756,560

Collatz Trajectory (69 steps to reach 1)

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

5,756,560 2,878,280 1,439,140 719,570 359,785 1,079,356 539,678 269,839 809,518 404,759 1,214,278 607,139 1,821,418 910,709 2,732,128 1,366,064 683,032 341,516 170,758 85,379 256,138 128,069 384,208 192,104 96,052 48,026 24,013 72,040 36,020 18,010 9,005 27,016 13,508 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170

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