λ
Prime Ledger

2,368,765

5 × 7 × 67679
Deficient Odd Composite

2,368,765 has the prime decomposition 5 × 7 × 67679. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 67679
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,248,640
Proper Divisor Sum 879,875
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2368759 ← → #2368771

Radix Representation

Decimal 2368765
Binary 1001000010010011111101 (22 bits)
Octal 0o11022375
Hexadecimal 0x2424FD

Divisor Catalog (8)

1 5 7 35 67,679 338,395 473,753 2,368,765

Collatz Trajectory (148 steps to reach 1)

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

2,368,765 7,106,296 3,553,148 1,776,574 888,287 2,664,862 1,332,431 3,997,294 1,998,647 5,995,942 2,997,971 8,993,914 4,496,957 13,490,872 6,745,436 3,372,718 1,686,359 5,059,078 2,529,539 7,588,618 3,794,309 11,382,928 5,691,464 2,845,732 1,422,866 711,433 2,134,300 1,067,150 533,575 1,600,726 800,363 2,401,090 1,200,545 3,601,636 1,800,818 900,409 2,701,228 1,350,614 675,307 2,025,922 1,012,961 3,038,884 1,519,442 759,721 2,279,164 1,139,582 569,791 1,709,374 854,687 2,564,062 1,282,031 3,846,094 1,923,047 5,769,142 2,884,571 8,653,714 4,326,857 12,980,572 6,490,286 3,245,143

More profiles

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