5,298,735

3 × 5 × 13 × 29 × 937

Starting at 5,298,735, the Collatz iteration reaches 1 after 126 steps. The first transition is 15896206; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 29 × 937

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,455,040

Proper Divisor Sum 4,156,305

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #5298721 ← → #5298751

Radix Representation

Decimal	5298735
Binary	10100001101101000101111 (23 bits)
Octal	0o24155057
Hexadecimal	0x50DA2F

Divisor Catalog (32)

1 3 5 13 15 29 39 65 87 145 195 377 435 937 1,131 1,885 2,811 4,685 5,655 12,181 14,055 27,173 36,543 60,905 81,519 135,865 182,715 353,249 407,595 1,059,747 1,766,245 5,298,735

Collatz Trajectory (126 steps to reach 1)

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

5,298,735 15,896,206 7,948,103 23,844,310 11,922,155 35,766,466 17,883,233 53,649,700 26,824,850 13,412,425 40,237,276 20,118,638 10,059,319 30,177,958 15,088,979 45,266,938 22,633,469 67,900,408 33,950,204 16,975,102 8,487,551 25,462,654 12,731,327 38,193,982 19,096,991 57,290,974 28,645,487 85,936,462 42,968,231 128,904,694 64,452,347 193,357,042 96,678,521 290,035,564 145,017,782 72,508,891 217,526,674 108,763,337 326,290,012 163,145,006 81,572,503 244,717,510 122,358,755 367,076,266 183,538,133 550,614,400 275,307,200 137,653,600 68,826,800 34,413,400 17,206,700 8,603,350 4,301,675 12,905,026 6,452,513 19,357,540 9,678,770 4,839,385 14,518,156 7,259,078

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