λ
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33,070,592

29 × 64591
Deficient Even Composite

33,070,592 factors as 2^9 × 64591. Its 20 positive divisors give a proper-divisor sum of 33,007,024, so this integer is deficient. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^9 × 64591
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 66,077,616
Proper Divisor Sum 33,007,024
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #33070589 ← → #33070613

Radix Representation

Decimal 33070592
Binary 1111110001001111000000000 (25 bits)
Octal 0o176117000
Hexadecimal 0x1F89E00

Divisor Catalog (20)

1 2 4 8 16 32 64 128 256 512 64,591 129,182 258,364 516,728 1,033,456 2,066,912 4,133,824 8,267,648 16,535,296 33,070,592

Collatz Trajectory (82 steps to reach 1)

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

33,070,592 16,535,296 8,267,648 4,133,824 2,066,912 1,033,456 516,728 258,364 129,182 64,591 193,774 96,887 290,662 145,331 435,994 217,997 653,992 326,996 163,498 81,749 245,248 122,624 61,312 30,656 15,328 7,664 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976

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