33,249,288

2³ × 3 × 1385387

33,249,288 factors as 2^3 × 3 × 1385387. Its 16 positive divisors give a proper-divisor sum of 49,873,992, so this integer is abundant. The Collatz stopping time is 307 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 1385387

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 83,123,280

Proper Divisor Sum 49,873,992

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #33249247 ← → #33249289

Radix Representation

Decimal	33249288
Binary	1111110110101100000001000 (25 bits)
Octal	0o176654010
Hexadecimal	0x1FB5808

Divisor Catalog (16)

1 2 3 4 6 8 12 24 1,385,387 2,770,774 4,156,161 5,541,548 8,312,322 11,083,096 16,624,644 33,249,288

Collatz Trajectory (307 steps to reach 1)

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

33,249,288 16,624,644 8,312,322 4,156,161 12,468,484 6,234,242 3,117,121 9,351,364 4,675,682 2,337,841 7,013,524 3,506,762 1,753,381 5,260,144 2,630,072 1,315,036 657,518 328,759 986,278 493,139 1,479,418 739,709 2,219,128 1,109,564 554,782 277,391 832,174 416,087 1,248,262 624,131 1,872,394 936,197 2,808,592 1,404,296 702,148 351,074 175,537 526,612 263,306 131,653 394,960 197,480 98,740 49,370 24,685 74,056 37,028 18,514 9,257 27,772 13,886 6,943 20,830 10,415 31,246 15,623 46,870 23,435 70,306 35,153

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