λ
Match Zalai

863,841

3 × 11 × 26177
Deficient Odd Composite

863,841 factors as 3 × 11 × 26177. Its 8 positive divisors give a proper-divisor sum of 392,703, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 3 × 11 × 26177
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,256,544
Proper Divisor Sum 392,703
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #863833 ← → #863843

Radix Representation

Decimal 863841
Binary 11010010111001100001 (20 bits)
Octal 0o3227141
Hexadecimal 0xD2E61

Divisor Catalog (8)

1 3 11 33 26,177 78,531 287,947 863,841

Collatz Trajectory (100 steps to reach 1)

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

863,841 2,591,524 1,295,762 647,881 1,943,644 971,822 485,911 1,457,734 728,867 2,186,602 1,093,301 3,279,904 1,639,952 819,976 409,988 204,994 102,497 307,492 153,746 76,873 230,620 115,310 57,655 172,966 86,483 259,450 129,725 389,176 194,588 97,294 48,647 145,942 72,971 218,914 109,457 328,372 164,186 82,093 246,280 123,140 61,570 30,785 92,356 46,178 23,089 69,268 34,634 17,317 51,952 25,976 12,988 6,494 3,247 9,742 4,871 14,614 7,307 21,922 10,961 32,884

More profiles

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