λ
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804,752

24 × 13 × 53 × 73
Abundant Even Composite

804,752 factors as 2^4 × 13 × 53 × 73. Its 40 positive divisors give a proper-divisor sum of 929,512, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 53 × 73
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 1,734,264
Proper Divisor Sum 929,512
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #804751 ← → #804757

Radix Representation

Decimal 804752
Binary 11000100011110010000 (20 bits)
Octal 0o3043620
Hexadecimal 0xC4790

Divisor Catalog (40)

1 2 4 8 13 16 26 52 53 73 104 106 146 208 212 292 424 584 689 848 949 1,168 1,378 1,898 2,756 3,796 3,869 5,512 7,592 7,738 11,024 15,184 15,476 30,952 50,297 61,904 100,594 201,188 402,376 804,752

Collatz Trajectory (162 steps to reach 1)

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

804,752 402,376 201,188 100,594 50,297 150,892 75,446 37,723 113,170 56,585 169,756 84,878 42,439 127,318 63,659 190,978 95,489 286,468 143,234 71,617 214,852 107,426 53,713 161,140 80,570 40,285 120,856 60,428 30,214 15,107 45,322 22,661 67,984 33,992 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142

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