5,180,032

2⁷ × 11 × 13 × 283

Starting at 5,180,032, the Collatz iteration reaches 1 after 82 steps. The first transition is 2590016; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 11 × 13 × 283

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 12,166,560

Proper Divisor Sum 6,986,528

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #5180029 ← → #5180041

Radix Representation

Decimal	5180032
Binary	10011110000101010000000 (23 bits)
Octal	0o23605200
Hexadecimal	0x4F0A80

Divisor Catalog (60 of 64)

1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 283 286 352 416 566 572 704 832 1,132 1,144 1,408 1,664 2,264 2,288 3,113 3,679 4,528 4,576 6,226 7,358 9,056 9,152 12,452 14,716 18,112 18,304 24,904 29,432 36,224 40,469 49,808 58,864 80,938 99,616 117,728 161,876 199,232 235,456 323,752 398,464 470,912

Collatz Trajectory (82 steps to reach 1)

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

5,180,032 2,590,016 1,295,008 647,504 323,752 161,876 80,938 40,469 121,408 60,704 30,352 15,176 7,588 3,794 1,897 5,692 2,846 1,423 4,270 2,135 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154

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