33,438,136

2³ × 23 × 181729

33,438,136 factors as 2^3 × 23 × 181729. Its 16 positive divisors give a proper-divisor sum of 31,984,664, so this integer is deficient. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 181729

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 65,422,800

Proper Divisor Sum 31,984,664

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #33438107 ← → #33438173

Radix Representation

Decimal	33438136
Binary	1111111100011100110111000 (25 bits)
Octal	0o177434670
Hexadecimal	0x1FE39B8

Divisor Catalog (16)

1 2 4 8 23 46 92 184 181,729 363,458 726,916 1,453,832 4,179,767 8,359,534 16,719,068 33,438,136

Collatz Trajectory (139 steps to reach 1)

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

33,438,136 16,719,068 8,359,534 4,179,767 12,539,302 6,269,651 18,808,954 9,404,477 28,213,432 14,106,716 7,053,358 3,526,679 10,580,038 5,290,019 15,870,058 7,935,029 23,805,088 11,902,544 5,951,272 2,975,636 1,487,818 743,909 2,231,728 1,115,864 557,932 278,966 139,483 418,450 209,225 627,676 313,838 156,919 470,758 235,379 706,138 353,069 1,059,208 529,604 264,802 132,401 397,204 198,602 99,301 297,904 148,952 74,476 37,238 18,619 55,858 27,929 83,788 41,894 20,947 62,842 31,421 94,264 47,132 23,566 11,783 35,350

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