5,197,577

7² × 11 × 9643

Starting at 5,197,577, the Collatz iteration reaches 1 after 219 steps. The first transition is 15592732; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 11 × 9643

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,596,496

Proper Divisor Sum 1,398,919

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #5197573 ← → #5197601

Radix Representation

Decimal	5197577
Binary	10011110100111100001001 (23 bits)
Octal	0o23647411
Hexadecimal	0x4F4F09

Divisor Catalog (12)

1 7 11 49 77 539 9,643 67,501 106,073 472,507 742,511 5,197,577

Collatz Trajectory (219 steps to reach 1)

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

5,197,577 15,592,732 7,796,366 3,898,183 11,694,550 5,847,275 17,541,826 8,770,913 26,312,740 13,156,370 6,578,185 19,734,556 9,867,278 4,933,639 14,800,918 7,400,459 22,201,378 11,100,689 33,302,068 16,651,034 8,325,517 24,976,552 12,488,276 6,244,138 3,122,069 9,366,208 4,683,104 2,341,552 1,170,776 585,388 292,694 146,347 439,042 219,521 658,564 329,282 164,641 493,924 246,962 123,481 370,444 185,222 92,611 277,834 138,917 416,752 208,376 104,188 52,094 26,047 78,142 39,071 117,214 58,607 175,822 87,911 263,734 131,867 395,602 197,801

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