λ
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Atlas › Integer Profiles › Node 1,752,832

1,752,832

28 × 41 × 167
Abundant Even Composite

1,752,832 factors as 2^8 × 41 × 167. Its 36 positive divisors give a proper-divisor sum of 1,852,784, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^8 × 41 × 167
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 3,605,616
Proper Divisor Sum 1,852,784
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1752827 ← → #1752841

Radix Representation

Decimal 1752832
Binary 110101011111100000000 (21 bits)
Octal 0o6537400
Hexadecimal 0x1ABF00

Divisor Catalog (36)

1 2 4 8 16 32 41 64 82 128 164 167 256 328 334 656 668 1,312 1,336 2,624 2,672 5,248 5,344 6,847 10,496 10,688 13,694 21,376 27,388 42,752 54,776 109,552 219,104 438,208 876,416 1,752,832

Collatz Trajectory (70 steps to reach 1)

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

1,752,832 876,416 438,208 219,104 109,552 54,776 27,388 13,694 6,847 20,542 10,271 30,814 15,407 46,222 23,111 69,334 34,667 104,002 52,001 156,004 78,002 39,001 117,004 58,502 29,251 87,754 43,877 131,632 65,816 32,908 16,454 8,227 24,682 12,341 37,024 18,512 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53

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