λ
Prime Ledger

9,473,073

3 × 31 × 37 × 2753
Deficient Odd Composite

9,473,073 has the prime decomposition 3 × 31 × 37 × 2753. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 31 × 37 × 2753
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,395,456
Proper Divisor Sum 3,922,383
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9473059 ← → #9473083

Radix Representation

Decimal 9473073
Binary 100100001000110000110001 (24 bits)
Octal 0o44106061
Hexadecimal 0x908C31

Divisor Catalog (16)

1 3 31 37 93 111 1,147 2,753 3,441 8,259 85,343 101,861 256,029 305,583 3,157,691 9,473,073

Collatz Trajectory (150 steps to reach 1)

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

9,473,073 28,419,220 14,209,610 7,104,805 21,314,416 10,657,208 5,328,604 2,664,302 1,332,151 3,996,454 1,998,227 5,994,682 2,997,341 8,992,024 4,496,012 2,248,006 1,124,003 3,372,010 1,686,005 5,058,016 2,529,008 1,264,504 632,252 316,126 158,063 474,190 237,095 711,286 355,643 1,066,930 533,465 1,600,396 800,198 400,099 1,200,298 600,149 1,800,448 900,224 450,112 225,056 112,528 56,264 28,132 14,066 7,033 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100

More profiles

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