5,301,660

2² × 3 × 5 × 7 × 13 × 971

Starting at 5,301,660, the Collatz iteration reaches 1 after 126 steps. The first transition is 2650830; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 13 × 971

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 18,289,152

Proper Divisor Sum 12,987,492

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #5301631 ← → #5301677

Radix Representation

Decimal	5301660
Binary	10100001110010110011100 (23 bits)
Octal	0o24162634
Hexadecimal	0x50E59C

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 971 1,092 1,365 1,820 1,942 2,730 2,913 3,884 4,855 5,460 5,826 6,797 9,710 11,652 12,623 13,594 14,565

Collatz Trajectory (126 steps to reach 1)

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

5,301,660 2,650,830 1,325,415 3,976,246 1,988,123 5,964,370 2,982,185 8,946,556 4,473,278 2,236,639 6,709,918 3,354,959 10,064,878 5,032,439 15,097,318 7,548,659 22,645,978 11,322,989 33,968,968 16,984,484 8,492,242 4,246,121 12,738,364 6,369,182 3,184,591 9,553,774 4,776,887 14,330,662 7,165,331 21,495,994 10,747,997 32,243,992 16,121,996 8,060,998 4,030,499 12,091,498 6,045,749 18,137,248 9,068,624 4,534,312 2,267,156 1,133,578 566,789 1,700,368 850,184 425,092 212,546 106,273 318,820 159,410 79,705 239,116 119,558 59,779 179,338 89,669 269,008 134,504 67,252 33,626

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