λ
Ratio Atlas

6,097,437

34 × 75277
Deficient Odd Composite

6,097,437 factors as 3^4 × 75277. Its 10 positive divisors give a proper-divisor sum of 3,011,201, so this integer is deficient. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 3^4 × 75277
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 9,108,638
Proper Divisor Sum 3,011,201
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6097417 ← → #6097439

Radix Representation

Decimal 6097437
Binary 10111010000101000011101 (23 bits)
Octal 0o27205035
Hexadecimal 0x5D0A1D

Divisor Catalog (10)

1 3 9 27 81 75,277 225,831 677,493 2,032,479 6,097,437

Collatz Trajectory (82 steps to reach 1)

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

6,097,437 18,292,312 9,146,156 4,573,078 2,286,539 6,859,618 3,429,809 10,289,428 5,144,714 2,572,357 7,717,072 3,858,536 1,929,268 964,634 482,317 1,446,952 723,476 361,738 180,869 542,608 271,304 135,652 67,826 33,913 101,740 50,870 25,435 76,306 38,153 114,460 57,230 28,615 85,846 42,923 128,770 64,385 193,156 96,578 48,289 144,868 72,434 36,217 108,652 54,326 27,163 81,490 40,745 122,236 61,118 30,559 91,678 45,839 137,518 68,759 206,278 103,139 309,418 154,709 464,128 232,064

More profiles

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