λ
Prime Ledger

7,765,807

7 × 1109401
Deficient Odd Composite

7,765,807 has the prime decomposition 7 × 1109401. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 1109401
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,875,216
Proper Divisor Sum 1,109,409
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7765783 ← → #7765829

Radix Representation

Decimal 7765807
Binary 11101100111111100101111 (23 bits)
Octal 0o35477457
Hexadecimal 0x767F2F

Divisor Catalog (4)

1 7 1,109,401 7,765,807

Collatz Trajectory (173 steps to reach 1)

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

7,765,807 23,297,422 11,648,711 34,946,134 17,473,067 52,419,202 26,209,601 78,628,804 39,314,402 19,657,201 58,971,604 29,485,802 14,742,901 44,228,704 22,114,352 11,057,176 5,528,588 2,764,294 1,382,147 4,146,442 2,073,221 6,219,664 3,109,832 1,554,916 777,458 388,729 1,166,188 583,094 291,547 874,642 437,321 1,311,964 655,982 327,991 983,974 491,987 1,475,962 737,981 2,213,944 1,106,972 553,486 276,743 830,230 415,115 1,245,346 622,673 1,868,020 934,010 467,005 1,401,016 700,508 350,254 175,127 525,382 262,691 788,074 394,037 1,182,112 591,056 295,528

More profiles

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