5,301,699

3 × 13² × 10457

Starting at 5,301,699, the Collatz iteration reaches 1 after 126 steps. The first transition is 15905098; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 13^2 × 10457

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,655,256

Proper Divisor Sum 2,353,557

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #5301697 ← → #5301727

Radix Representation

Decimal	5301699
Binary	10100001110010111000011 (23 bits)
Octal	0o24162703
Hexadecimal	0x50E5C3

Divisor Catalog (12)

1 3 13 39 169 507 10,457 31,371 135,941 407,823 1,767,233 5,301,699

Collatz Trajectory (126 steps to reach 1)

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

5,301,699 15,905,098 7,952,549 23,857,648 11,928,824 5,964,412 2,982,206 1,491,103 4,473,310 2,236,655 6,709,966 3,354,983 10,064,950 5,032,475 15,097,426 7,548,713 22,646,140 11,323,070 5,661,535 16,984,606 8,492,303 25,476,910 12,738,455 38,215,366 19,107,683 57,323,050 28,661,525 85,984,576 42,992,288 21,496,144 10,748,072 5,374,036 2,687,018 1,343,509 4,030,528 2,015,264 1,007,632 503,816 251,908 125,954 62,977 188,932 94,466 47,233 141,700 70,850 35,425 106,276 53,138 26,569 79,708 39,854 19,927 59,782 29,891 89,674 44,837 134,512 67,256 33,628

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