5,099,949

3³ × 17 × 41 × 271

Starting at 5,099,949, the Collatz iteration reaches 1 after 144 steps. The first transition is 15299848; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 17 × 41 × 271

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,225,280

Proper Divisor Sum 3,125,331

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #5099933 ← → #5099959

Radix Representation

Decimal	5099949
Binary	10011011101000110101101 (23 bits)
Octal	0o23350655
Hexadecimal	0x4DD1AD

Divisor Catalog (32)

1 3 9 17 27 41 51 123 153 271 369 459 697 813 1,107 2,091 2,439 4,607 6,273 7,317 11,111 13,821 18,819 33,333 41,463 99,999 124,389 188,887 299,997 566,661 1,699,983 5,099,949

Collatz Trajectory (144 steps to reach 1)

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

5,099,949 15,299,848 7,649,924 3,824,962 1,912,481 5,737,444 2,868,722 1,434,361 4,303,084 2,151,542 1,075,771 3,227,314 1,613,657 4,840,972 2,420,486 1,210,243 3,630,730 1,815,365 5,446,096 2,723,048 1,361,524 680,762 340,381 1,021,144 510,572 255,286 127,643 382,930 191,465 574,396 287,198 143,599 430,798 215,399 646,198 323,099 969,298 484,649 1,453,948 726,974 363,487 1,090,462 545,231 1,635,694 817,847 2,453,542 1,226,771 3,680,314 1,840,157 5,520,472 2,760,236 1,380,118 690,059 2,070,178 1,035,089 3,105,268 1,552,634 776,317 2,328,952 1,164,476

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