6,621,501

3 × 47 × 151 × 311

Starting at 6,621,501, the Collatz iteration reaches 1 after 191 steps. The first transition is 19864504; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 47 × 151 × 311

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,105,408

Proper Divisor Sum 2,483,907

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #6621499 ← → #6621529

Radix Representation

Decimal	6621501
Binary	11001010000100100111101 (23 bits)
Octal	0o31204475
Hexadecimal	0x65093D

Divisor Catalog (16)

1 3 47 141 151 311 453 933 7,097 14,617 21,291 43,851 46,961 140,883 2,207,167 6,621,501

Collatz Trajectory (191 steps to reach 1)

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

6,621,501 19,864,504 9,932,252 4,966,126 2,483,063 7,449,190 3,724,595 11,173,786 5,586,893 16,760,680 8,380,340 4,190,170 2,095,085 6,285,256 3,142,628 1,571,314 785,657 2,356,972 1,178,486 589,243 1,767,730 883,865 2,651,596 1,325,798 662,899 1,988,698 994,349 2,983,048 1,491,524 745,762 372,881 1,118,644 559,322 279,661 838,984 419,492 209,746 104,873 314,620 157,310 78,655 235,966 117,983 353,950 176,975 530,926 265,463 796,390 398,195 1,194,586 597,293 1,791,880 895,940 447,970 223,985 671,956 335,978 167,989 503,968 251,984

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