λ
Prime Ledger

7,675,215

3 × 5 × 23 × 22247
Deficient Odd Composite

7,675,215 has the prime decomposition 3 × 5 × 23 × 22247. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 23 × 22247
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,814,848
Proper Divisor Sum 5,139,633
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7675207 ← → #7675219

Radix Representation

Decimal 7675215
Binary 11101010001110101001111 (23 bits)
Octal 0o35216517
Hexadecimal 0x751D4F

Divisor Catalog (16)

1 3 5 15 23 69 115 345 22,247 66,741 111,235 333,705 511,681 1,535,043 2,558,405 7,675,215

Collatz Trajectory (173 steps to reach 1)

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

7,675,215 23,025,646 11,512,823 34,538,470 17,269,235 51,807,706 25,903,853 77,711,560 38,855,780 19,427,890 9,713,945 29,141,836 14,570,918 7,285,459 21,856,378 10,928,189 32,784,568 16,392,284 8,196,142 4,098,071 12,294,214 6,147,107 18,441,322 9,220,661 27,661,984 13,830,992 6,915,496 3,457,748 1,728,874 864,437 2,593,312 1,296,656 648,328 324,164 162,082 81,041 243,124 121,562 60,781 182,344 91,172 45,586 22,793 68,380 34,190 17,095 51,286 25,643 76,930 38,465 115,396 57,698 28,849 86,548 43,274 21,637 64,912 32,456 16,228 8,114

More profiles

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