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Atlas › Integer Profiles › Node 33,008,552

33,008,552

23 × 31 × 167 × 797
Deficient Even Composite

33,008,552 factors as 2^3 × 31 × 167 × 797. Its 32 positive divisors give a proper-divisor sum of 31,342,168, so this integer is deficient. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^3 × 31 × 167 × 797
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 64,350,720
Proper Divisor Sum 31,342,168
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #33008533 ← → #33008561

Radix Representation

Decimal 33008552
Binary 1111101111010101110101000 (25 bits)
Octal 0o175725650
Hexadecimal 0x1F7ABA8

Divisor Catalog (32)

1 2 4 8 31 62 124 167 248 334 668 797 1,336 1,594 3,188 5,177 6,376 10,354 20,708 24,707 41,416 49,414 98,828 133,099 197,656 266,198 532,396 1,064,792 4,126,069 8,252,138 16,504,276 33,008,552

Collatz Trajectory (95 steps to reach 1)

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

33,008,552 16,504,276 8,252,138 4,126,069 12,378,208 6,189,104 3,094,552 1,547,276 773,638 386,819 1,160,458 580,229 1,740,688 870,344 435,172 217,586 108,793 326,380 163,190 81,595 244,786 122,393 367,180 183,590 91,795 275,386 137,693 413,080 206,540 103,270 51,635 154,906 77,453 232,360 116,180 58,090 29,045 87,136 43,568 21,784 10,892 5,446 2,723 8,170 4,085 12,256 6,128 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830

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