λ
Integer Codex

6,597,615

3 × 5 × 17 × 25873
Deficient Odd Composite

For 6,597,615, the 16 positive divisors have a total of 11,177,568. Removing 6,597,615 leaves 4,579,953, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 25873
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,177,568
Proper Divisor Sum 4,579,953
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6597601 ← → #6597629

Radix Representation

Decimal 6597615
Binary 11001001010101111101111 (23 bits)
Octal 0o31125757
Hexadecimal 0x64ABEF

Divisor Catalog (16)

1 3 5 15 17 51 85 255 25,873 77,619 129,365 388,095 439,841 1,319,523 2,199,205 6,597,615

Collatz Trajectory (315 steps to reach 1)

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

6,597,615 19,792,846 9,896,423 29,689,270 14,844,635 44,533,906 22,266,953 66,800,860 33,400,430 16,700,215 50,100,646 25,050,323 75,150,970 37,575,485 112,726,456 56,363,228 28,181,614 14,090,807 42,272,422 21,136,211 63,408,634 31,704,317 95,112,952 47,556,476 23,778,238 11,889,119 35,667,358 17,833,679 53,501,038 26,750,519 80,251,558 40,125,779 120,377,338 60,188,669 180,566,008 90,283,004 45,141,502 22,570,751 67,712,254 33,856,127 101,568,382 50,784,191 152,352,574 76,176,287 228,528,862 114,264,431 342,793,294 171,396,647 514,189,942 257,094,971 771,284,914 385,642,457 1,156,927,372 578,463,686 289,231,843 867,695,530 433,847,765 1,301,543,296 650,771,648 325,385,824

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