λ
Prime Ledger

4,636,767

3 × 17 × 90917
Deficient Odd Composite

4,636,767 has the prime decomposition 3 × 17 × 90917. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 17 × 90917
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,546,096
Proper Divisor Sum 1,909,329
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4636739 ← → #4636769

Radix Representation

Decimal 4636767
Binary 10001101100000001011111 (23 bits)
Octal 0o21540137
Hexadecimal 0x46C05F

Divisor Catalog (8)

1 3 17 51 90,917 272,751 1,545,589 4,636,767

Collatz Trajectory (224 steps to reach 1)

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

4,636,767 13,910,302 6,955,151 20,865,454 10,432,727 31,298,182 15,649,091 46,947,274 23,473,637 70,420,912 35,210,456 17,605,228 8,802,614 4,401,307 13,203,922 6,601,961 19,805,884 9,902,942 4,951,471 14,854,414 7,427,207 22,281,622 11,140,811 33,422,434 16,711,217 50,133,652 25,066,826 12,533,413 37,600,240 18,800,120 9,400,060 4,700,030 2,350,015 7,050,046 3,525,023 10,575,070 5,287,535 15,862,606 7,931,303 23,793,910 11,896,955 35,690,866 17,845,433 53,536,300 26,768,150 13,384,075 40,152,226 20,076,113 60,228,340 30,114,170 15,057,085 45,171,256 22,585,628 11,292,814 5,646,407 16,939,222 8,469,611 25,408,834 12,704,417 38,113,252

More profiles

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