λ
Ratio Atlas

4,766,367

3 × 137 × 11597
Deficient Odd Composite

4,766,367 factors as 3 × 137 × 11597. Its 8 positive divisors give a proper-divisor sum of 1,635,729, so this integer is deficient. The Collatz stopping time is 237 steps.

Prime Factor Structure

Factorization String 3 × 137 × 11597
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,402,096
Proper Divisor Sum 1,635,729
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4766351 ← → #4766369

Radix Representation

Decimal 4766367
Binary 10010001011101010011111 (23 bits)
Octal 0o22135237
Hexadecimal 0x48BA9F

Divisor Catalog (8)

1 3 137 411 11,597 34,791 1,588,789 4,766,367

Collatz Trajectory (237 steps to reach 1)

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

4,766,367 14,299,102 7,149,551 21,448,654 10,724,327 32,172,982 16,086,491 48,259,474 24,129,737 72,389,212 36,194,606 18,097,303 54,291,910 27,145,955 81,437,866 40,718,933 122,156,800 61,078,400 30,539,200 15,269,600 7,634,800 3,817,400 1,908,700 954,350 477,175 1,431,526 715,763 2,147,290 1,073,645 3,220,936 1,610,468 805,234 402,617 1,207,852 603,926 301,963 905,890 452,945 1,358,836 679,418 339,709 1,019,128 509,564 254,782 127,391 382,174 191,087 573,262 286,631 859,894 429,947 1,289,842 644,921 1,934,764 967,382 483,691 1,451,074 725,537 2,176,612 1,088,306

More profiles

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