36,088,125

3 × 5⁴ × 19 × 1013

36,088,125 factors as 3 × 5^4 × 19 × 1013. Its 40 positive divisors give a proper-divisor sum of 27,266,595, so this integer is deficient. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 3 × 5^4 × 19 × 1013

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 63,354,720

Proper Divisor Sum 27,266,595

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #36088121 ← → #36088139

Radix Representation

Decimal	36088125
Binary	10001001101010100100111101 (26 bits)
Octal	0o211524475
Hexadecimal	0x226A93D

Divisor Catalog (40)

Collatz Trajectory (183 steps to reach 1)

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

36,088,125 108,264,376 54,132,188 27,066,094 13,533,047 40,599,142 20,299,571 60,898,714 30,449,357 91,348,072 45,674,036 22,837,018 11,418,509 34,255,528 17,127,764 8,563,882 4,281,941 12,845,824 6,422,912 3,211,456 1,605,728 802,864 401,432 200,716 100,358 50,179 150,538 75,269 225,808 112,904 56,452 28,226 14,113 42,340 21,170 10,585 31,756 15,878 7,939 23,818 11,909 35,728 17,864 8,932 4,466 2,233 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061

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