33,976,136

2³ × 4247017

33,976,136 factors as 2^3 × 4247017. Its 8 positive divisors give a proper-divisor sum of 29,729,134, so this integer is deficient. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^3 × 4247017

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 63,705,270

Proper Divisor Sum 29,729,134

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #33976109 ← → #33976177

Radix Representation

Decimal	33976136
Binary	10000001100110111101001000 (26 bits)
Octal	0o201467510
Hexadecimal	0x2066F48

Divisor Catalog (8)

1 2 4 8 4,247,017 8,494,034 16,988,068 33,976,136

Collatz Trajectory (108 steps to reach 1)

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

33,976,136 16,988,068 8,494,034 4,247,017 12,741,052 6,370,526 3,185,263 9,555,790 4,777,895 14,333,686 7,166,843 21,500,530 10,750,265 32,250,796 16,125,398 8,062,699 24,188,098 12,094,049 36,282,148 18,141,074 9,070,537 27,211,612 13,605,806 6,802,903 20,408,710 10,204,355 30,613,066 15,306,533 45,919,600 22,959,800 11,479,900 5,739,950 2,869,975 8,609,926 4,304,963 12,914,890 6,457,445 19,372,336 9,686,168 4,843,084 2,421,542 1,210,771 3,632,314 1,816,157 5,448,472 2,724,236 1,362,118 681,059 2,043,178 1,021,589 3,064,768 1,532,384 766,192 383,096 191,548 95,774 47,887 143,662 71,831 215,494

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