λ
Prime Ledger

4,277,009

11 × 503 × 773
Deficient Odd Composite

4,277,009 has the prime decomposition 11 × 503 × 773. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 503 × 773
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,681,152
Proper Divisor Sum 404,143
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4276999 ← → #4277017

Radix Representation

Decimal 4277009
Binary 10000010100001100010001 (23 bits)
Octal 0o20241421
Hexadecimal 0x414311

Divisor Catalog (8)

1 11 503 773 5,533 8,503 388,819 4,277,009

Collatz Trajectory (79 steps to reach 1)

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

4,277,009 12,831,028 6,415,514 3,207,757 9,623,272 4,811,636 2,405,818 1,202,909 3,608,728 1,804,364 902,182 451,091 1,353,274 676,637 2,029,912 1,014,956 507,478 253,739 761,218 380,609 1,141,828 570,914 285,457 856,372 428,186 214,093 642,280 321,140 160,570 80,285 240,856 120,428 60,214 30,107 90,322 45,161 135,484 67,742 33,871 101,614 50,807 152,422 76,211 228,634 114,317 342,952 171,476 85,738 42,869 128,608 64,304 32,152 16,076 8,038 4,019 12,058 6,029 18,088 9,044 4,522

More profiles

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