λ
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Atlas › Integer Profiles › Node 6,301,508

6,301,508

22 × 97 × 109 × 149
Deficient Even Composite

Starting at 6,301,508, the Collatz iteration reaches 1 after 90 steps. The first transition is 3150754; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 97 × 109 × 149
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,319,000
Proper Divisor Sum 5,017,492
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #6301501 ← → #6301511

Radix Representation

Decimal 6301508
Binary 11000000010011101000100 (23 bits)
Octal 0o30023504
Hexadecimal 0x602744

Divisor Catalog (24)

1 2 4 97 109 149 194 218 298 388 436 596 10,573 14,453 16,241 21,146 28,906 32,482 42,292 57,812 64,964 1,575,377 3,150,754 6,301,508

Collatz Trajectory (90 steps to reach 1)

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

6,301,508 3,150,754 1,575,377 4,726,132 2,363,066 1,181,533 3,544,600 1,772,300 886,150 443,075 1,329,226 664,613 1,993,840 996,920 498,460 249,230 124,615 373,846 186,923 560,770 280,385 841,156 420,578 210,289 630,868 315,434 157,717 473,152 236,576 118,288 59,144 29,572 14,786 7,393 22,180 11,090 5,545 16,636 8,318 4,159 12,478 6,239 18,718 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664

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