33,713,152

2¹⁰ × 11 × 41 × 73

33,713,152 factors as 2^10 × 11 × 41 × 73. Its 88 positive divisors give a proper-divisor sum of 42,631,760, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^10 × 11 × 41 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 88

Divisor Sum (σ) 76,344,912

Proper Divisor Sum 42,631,760

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #33713137 ← → #33713153

Radix Representation

Decimal	33713152
Binary	10000000100110110000000000 (26 bits)
Octal	0o200466000
Hexadecimal	0x2026C00

Divisor Catalog (60 of 88)

1 2 4 8 11 16 22 32 41 44 64 73 82 88 128 146 164 176 256 292 328 352 451 512 584 656 704 803 902 1,024 1,168 1,312 1,408 1,606 1,804 2,336 2,624 2,816 2,993 3,212 3,608 4,672 5,248 5,632 5,986 6,424 7,216 9,344 10,496 11,264 11,972 12,848 14,432 18,688 20,992 23,944 25,696 28,864 32,923 37,376

Collatz Trajectory (170 steps to reach 1)

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

33,713,152 16,856,576 8,428,288 4,214,144 2,107,072 1,053,536 526,768 263,384 131,692 65,846 32,923 98,770 49,385 148,156 74,078 37,039 111,118 55,559 166,678 83,339 250,018 125,009 375,028 187,514 93,757 281,272 140,636 70,318 35,159 105,478 52,739 158,218 79,109 237,328 118,664 59,332 29,666 14,833 44,500 22,250 11,125 33,376 16,688 8,344 4,172 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992

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