λ
Prime Ledger

3,071,763

35 × 12641
Deficient Odd Composite

3,071,763 has the prime decomposition 3^5 × 12641. Its 2 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^5 × 12641
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,601,688
Proper Divisor Sum 1,529,925
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3071753 ← → #3071797

Radix Representation

Decimal 3071763
Binary 1011101101111100010011 (22 bits)
Octal 0o13557423
Hexadecimal 0x2EDF13

Divisor Catalog (12)

1 3 9 27 81 243 12,641 37,923 113,769 341,307 1,023,921 3,071,763

Collatz Trajectory (102 steps to reach 1)

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

3,071,763 9,215,290 4,607,645 13,822,936 6,911,468 3,455,734 1,727,867 5,183,602 2,591,801 7,775,404 3,887,702 1,943,851 5,831,554 2,915,777 8,747,332 4,373,666 2,186,833 6,560,500 3,280,250 1,640,125 4,920,376 2,460,188 1,230,094 615,047 1,845,142 922,571 2,767,714 1,383,857 4,151,572 2,075,786 1,037,893 3,113,680 1,556,840 778,420 389,210 194,605 583,816 291,908 145,954 72,977 218,932 109,466 54,733 164,200 82,100 41,050 20,525 61,576 30,788 15,394 7,697 23,092 11,546 5,773 17,320 8,660 4,330 2,165 6,496 3,248

More profiles

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