6,313,507

6313507

Starting at 6,313,507, the Collatz iteration reaches 1 after 165 steps. The first transition is 18940522; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 6313507

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 6,313,508

Proper Divisor Sum 1

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #6313499 ← → #6313513

Radix Representation

Decimal	6313507
Binary	11000000101011000100011 (23 bits)
Octal	0o30053043
Hexadecimal	0x605623

Divisor Catalog (2)

1 6,313,507

Collatz Trajectory (165 steps to reach 1)

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

6,313,507 18,940,522 9,470,261 28,410,784 14,205,392 7,102,696 3,551,348 1,775,674 887,837 2,663,512 1,331,756 665,878 332,939 998,818 499,409 1,498,228 749,114 374,557 1,123,672 561,836 280,918 140,459 421,378 210,689 632,068 316,034 158,017 474,052 237,026 118,513 355,540 177,770 88,885 266,656 133,328 66,664 33,332 16,666 8,333 25,000 12,500 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188

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