λ
Prime Ledger

7,507,371

3 × 373 × 6709
Deficient Odd Composite

7,507,371 has the prime decomposition 3 × 373 × 6709. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 373 × 6709
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,038,160
Proper Divisor Sum 2,530,789
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7507369 ← → #7507373

Radix Representation

Decimal 7507371
Binary 11100101000110110101011 (23 bits)
Octal 0o34506653
Hexadecimal 0x728DAB

Divisor Catalog (8)

1 3 373 1,119 6,709 20,127 2,502,457 7,507,371

Collatz Trajectory (160 steps to reach 1)

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

7,507,371 22,522,114 11,261,057 33,783,172 16,891,586 8,445,793 25,337,380 12,668,690 6,334,345 19,003,036 9,501,518 4,750,759 14,252,278 7,126,139 21,378,418 10,689,209 32,067,628 16,033,814 8,016,907 24,050,722 12,025,361 36,076,084 18,038,042 9,019,021 27,057,064 13,528,532 6,764,266 3,382,133 10,146,400 5,073,200 2,536,600 1,268,300 634,150 317,075 951,226 475,613 1,426,840 713,420 356,710 178,355 535,066 267,533 802,600 401,300 200,650 100,325 300,976 150,488 75,244 37,622 18,811 56,434 28,217 84,652 42,326 21,163 63,490 31,745 95,236 47,618

More profiles

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