λ
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852,576

25 × 3 × 83 × 107
Abundant Even Composite

852,576 factors as 2^5 × 3 × 83 × 107. Its 48 positive divisors give a proper-divisor sum of 1,433,568, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 83 × 107
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,286,144
Proper Divisor Sum 1,433,568
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #852569 ← → #852581

Radix Representation

Decimal 852576
Binary 11010000001001100000 (20 bits)
Octal 0o3201140
Hexadecimal 0xD0260

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 83 96 107 166 214 249 321 332 428 498 642 664 856 996 1,284 1,328 1,712 1,992 2,568 2,656 3,424 3,984 5,136 7,968 8,881 10,272 17,762 26,643 35,524 53,286 71,048 106,572 142,096 213,144 284,192 426,288 852,576

Collatz Trajectory (175 steps to reach 1)

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

852,576 426,288 213,144 106,572 53,286 26,643 79,930 39,965 119,896 59,948 29,974 14,987 44,962 22,481 67,444 33,722 16,861 50,584 25,292 12,646 6,323 18,970 9,485 28,456 14,228 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422

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