33,090,988

2² × 7 × 907 × 1303

33,090,988 factors as 2^2 × 7 × 907 × 1303. Its 24 positive divisors give a proper-divisor sum of 33,214,804, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 907 × 1303

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 66,305,792

Proper Divisor Sum 33,214,804

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #33090949 ← → #33091007

Radix Representation

Decimal	33090988
Binary	1111110001110110110101100 (25 bits)
Octal	0o176166654
Hexadecimal	0x1F8EDAC

Divisor Catalog (24)

Collatz Trajectory (214 steps to reach 1)

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

33,090,988 16,545,494 8,272,747 24,818,242 12,409,121 37,227,364 18,613,682 9,306,841 27,920,524 13,960,262 6,980,131 20,940,394 10,470,197 31,410,592 15,705,296 7,852,648 3,926,324 1,963,162 981,581 2,944,744 1,472,372 736,186 368,093 1,104,280 552,140 276,070 138,035 414,106 207,053 621,160 310,580 155,290 77,645 232,936 116,468 58,234 29,117 87,352 43,676 21,838 10,919 32,758 16,379 49,138 24,569 73,708 36,854 18,427 55,282 27,641 82,924 41,462 20,731 62,194 31,097 93,292 46,646 23,323 69,970 34,985

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