5,251,617

3² × 7 × 31 × 2689

Starting at 5,251,617, the Collatz iteration reaches 1 after 69 steps. The first transition is 15754852; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 31 × 2689

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,952,320

Proper Divisor Sum 3,700,703

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5251607 ← → #5251627

Radix Representation

Decimal	5251617
Binary	10100000010001000100001 (23 bits)
Octal	0o24021041
Hexadecimal	0x502221

Divisor Catalog (24)

1 3 7 9 21 31 63 93 217 279 651 1,953 2,689 8,067 18,823 24,201 56,469 83,359 169,407 250,077 583,513 750,231 1,750,539 5,251,617

Collatz Trajectory (69 steps to reach 1)

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

5,251,617 15,754,852 7,877,426 3,938,713 11,816,140 5,908,070 2,954,035 8,862,106 4,431,053 13,293,160 6,646,580 3,323,290 1,661,645 4,984,936 2,492,468 1,246,234 623,117 1,869,352 934,676 467,338 233,669 701,008 350,504 175,252 87,626 43,813 131,440 65,720 32,860 16,430 8,215 24,646 12,323 36,970 18,485 55,456 27,728 13,864 6,932 3,466 1,733 5,200 2,600 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160

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