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Atlas › Integer Profiles › Node 33,492,608

33,492,608

27 × 53 × 4937
Abundant Even Composite

33,492,608 factors as 2^7 × 53 × 4937. Its 32 positive divisors give a proper-divisor sum of 34,503,652, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^7 × 53 × 4937
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 67,996,260
Proper Divisor Sum 34,503,652
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #33492607 ← → #33492631

Radix Representation

Decimal 33492608
Binary 1111111110000111010000000 (25 bits)
Octal 0o177607200
Hexadecimal 0x1FF0E80

Divisor Catalog (32)

1 2 4 8 16 32 53 64 106 128 212 424 848 1,696 3,392 4,937 6,784 9,874 19,748 39,496 78,992 157,984 261,661 315,968 523,322 631,936 1,046,644 2,093,288 4,186,576 8,373,152 16,746,304 33,492,608

Collatz Trajectory (170 steps to reach 1)

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

33,492,608 16,746,304 8,373,152 4,186,576 2,093,288 1,046,644 523,322 261,661 784,984 392,492 196,246 98,123 294,370 147,185 441,556 220,778 110,389 331,168 165,584 82,792 41,396 20,698 10,349 31,048 15,524 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166

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