λ
Integer Codex

3,172,597

23 × 271 × 509
Deficient Odd Composite

For 3,172,597, the 8 positive divisors have a total of 3,329,280. Removing 3,172,597 leaves 156,683, which gives the deficient classification.

Prime Factor Structure

Factorization String 23 × 271 × 509
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,329,280
Proper Divisor Sum 156,683
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3172577 ← → #3172627

Radix Representation

Decimal 3172597
Binary 1100000110100011110101 (22 bits)
Octal 0o14064365
Hexadecimal 0x3068F5

Divisor Catalog (8)

1 23 271 509 6,233 11,707 137,939 3,172,597

Collatz Trajectory (102 steps to reach 1)

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

3,172,597 9,517,792 4,758,896 2,379,448 1,189,724 594,862 297,431 892,294 446,147 1,338,442 669,221 2,007,664 1,003,832 501,916 250,958 125,479 376,438 188,219 564,658 282,329 846,988 423,494 211,747 635,242 317,621 952,864 476,432 238,216 119,108 59,554 29,777 89,332 44,666 22,333 67,000 33,500 16,750 8,375 25,126 12,563 37,690 18,845 56,536 28,268 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128

More profiles

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