λ
Integer Codex

1,597,245

3 × 5 × 13 × 8191
Deficient Odd Composite

For 1,597,245, the 16 positive divisors have a total of 2,752,512. Removing 1,597,245 leaves 1,155,267, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 8191
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,752,512
Proper Divisor Sum 1,155,267
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1597243 ← → #1597259

Radix Representation

Decimal 1597245
Binary 110000101111100111101 (21 bits)
Octal 0o6057475
Hexadecimal 0x185F3D

Divisor Catalog (16)

1 3 5 13 15 39 65 195 8,191 24,573 40,955 106,483 122,865 319,449 532,415 1,597,245

Collatz Trajectory (101 steps to reach 1)

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

1,597,245 4,791,736 2,395,868 1,197,934 598,967 1,796,902 898,451 2,695,354 1,347,677 4,043,032 2,021,516 1,010,758 505,379 1,516,138 758,069 2,274,208 1,137,104 568,552 284,276 142,138 71,069 213,208 106,604 53,302 26,651 79,954 39,977 119,932 59,966 29,983 89,950 44,975 134,926 67,463 202,390 101,195 303,586 151,793 455,380 227,690 113,845 341,536 170,768 85,384 42,692 21,346 10,673 32,020 16,010 8,005 24,016 12,008 6,004 3,002 1,501 4,504 2,252 1,126 563 1,690

More profiles

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