λ
Prime Ledger

7,107,135

3 × 5 × 7 × 113 × 599
Deficient Odd Composite

7,107,135 has the prime decomposition 3 × 5 × 7 × 113 × 599. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 113 × 599
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,132,800
Proper Divisor Sum 6,025,665
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7107131 ← → #7107137

Radix Representation

Decimal 7107135
Binary 11011000111001000111111 (23 bits)
Octal 0o33071077
Hexadecimal 0x6C723F

Divisor Catalog (32)

1 3 5 7 15 21 35 105 113 339 565 599 791 1,695 1,797 2,373 2,995 3,955 4,193 8,985 11,865 12,579 20,965 62,895 67,687 203,061 338,435 473,809 1,015,305 1,421,427 2,369,045 7,107,135

Collatz Trajectory (147 steps to reach 1)

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

7,107,135 21,321,406 10,660,703 31,982,110 15,991,055 47,973,166 23,986,583 71,959,750 35,979,875 107,939,626 53,969,813 161,909,440 80,954,720 40,477,360 20,238,680 10,119,340 5,059,670 2,529,835 7,589,506 3,794,753 11,384,260 5,692,130 2,846,065 8,538,196 4,269,098 2,134,549 6,403,648 3,201,824 1,600,912 800,456 400,228 200,114 100,057 300,172 150,086 75,043 225,130 112,565 337,696 168,848 84,424 42,212 21,106 10,553 31,660 15,830 7,915 23,746 11,873 35,620 17,810 8,905 26,716 13,358 6,679 20,038 10,019 30,058 15,029 45,088

More profiles

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