33,488,152

2³ × 4186019

33,488,152 factors as 2^3 × 4186019. Its 8 positive divisors give a proper-divisor sum of 29,302,148, so this integer is deficient. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^3 × 4186019

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 62,790,300

Proper Divisor Sum 29,302,148

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #33488137 ← → #33488167

Radix Representation

Decimal	33488152
Binary	1111111101111110100011000 (25 bits)
Octal	0o177576430
Hexadecimal	0x1FEFD18

Divisor Catalog (8)

1 2 4 8 4,186,019 8,372,038 16,744,076 33,488,152

Collatz Trajectory (157 steps to reach 1)

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

33,488,152 16,744,076 8,372,038 4,186,019 12,558,058 6,279,029 18,837,088 9,418,544 4,709,272 2,354,636 1,177,318 588,659 1,765,978 882,989 2,648,968 1,324,484 662,242 331,121 993,364 496,682 248,341 745,024 372,512 186,256 93,128 46,564 23,282 11,641 34,924 17,462 8,731 26,194 13,097 39,292 19,646 9,823 29,470 14,735 44,206 22,103 66,310 33,155 99,466 49,733 149,200 74,600 37,300 18,650 9,325 27,976 13,988 6,994 3,497 10,492 5,246 2,623 7,870 3,935 11,806 5,903

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