λ
Prime Ledger

7,645,765

5 × 1529153
Deficient Odd Composite

7,645,765 has the prime decomposition 5 × 1529153. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 1529153
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,174,924
Proper Divisor Sum 1,529,159
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7645753 ← → #7645783

Radix Representation

Decimal 7645765
Binary 11101001010101001000101 (23 bits)
Octal 0o35125105
Hexadecimal 0x74AA45

Divisor Catalog (4)

1 5 1,529,153 7,645,765

Collatz Trajectory (85 steps to reach 1)

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

7,645,765 22,937,296 11,468,648 5,734,324 2,867,162 1,433,581 4,300,744 2,150,372 1,075,186 537,593 1,612,780 806,390 403,195 1,209,586 604,793 1,814,380 907,190 453,595 1,360,786 680,393 2,041,180 1,020,590 510,295 1,530,886 765,443 2,296,330 1,148,165 3,444,496 1,722,248 861,124 430,562 215,281 645,844 322,922 161,461 484,384 242,192 121,096 60,548 30,274 15,137 45,412 22,706 11,353 34,060 17,030 8,515 25,546 12,773 38,320 19,160 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086

More profiles

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