37,324,096

2⁶ × 583189

37,324,096 factors as 2^6 × 583189. Its 14 positive divisors give a proper-divisor sum of 36,741,034, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^6 × 583189

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 74,065,130

Proper Divisor Sum 36,741,034

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #37324087 ← → #37324117

Radix Representation

Decimal	37324096
Binary	10001110011000010101000000 (26 bits)
Octal	0o216302500
Hexadecimal	0x2398540

Divisor Catalog (14)

1 2 4 8 16 32 64 583,189 1,166,378 2,332,756 4,665,512 9,331,024 18,662,048 37,324,096

Collatz Trajectory (165 steps to reach 1)

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

37,324,096 18,662,048 9,331,024 4,665,512 2,332,756 1,166,378 583,189 1,749,568 874,784 437,392 218,696 109,348 54,674 27,337 82,012 41,006 20,503 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650 4,325 12,976 6,488 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31

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