5,305,550

2 × 5² × 29 × 3659

Starting at 5,305,550, the Collatz iteration reaches 1 after 126 steps. The first transition is 2652775; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 29 × 3659

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,211,400

Proper Divisor Sum 4,905,850

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #5305543 ← → #5305577

Radix Representation

Decimal	5305550
Binary	10100001111010011001110 (23 bits)
Octal	0o24172316
Hexadecimal	0x50F4CE

Divisor Catalog (24)

1 2 5 10 25 29 50 58 145 290 725 1,450 3,659 7,318 18,295 36,590 91,475 106,111 182,950 212,222 530,555 1,061,110 2,652,775 5,305,550

Collatz Trajectory (126 steps to reach 1)

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

5,305,550 2,652,775 7,958,326 3,979,163 11,937,490 5,968,745 17,906,236 8,953,118 4,476,559 13,429,678 6,714,839 20,144,518 10,072,259 30,216,778 15,108,389 45,325,168 22,662,584 11,331,292 5,665,646 2,832,823 8,498,470 4,249,235 12,747,706 6,373,853 19,121,560 9,560,780 4,780,390 2,390,195 7,170,586 3,585,293 10,755,880 5,377,940 2,688,970 1,344,485 4,033,456 2,016,728 1,008,364 504,182 252,091 756,274 378,137 1,134,412 567,206 283,603 850,810 425,405 1,276,216 638,108 319,054 159,527 478,582 239,291 717,874 358,937 1,076,812 538,406 269,203 807,610 403,805 1,211,416

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