λ
Math Directory

8,605,163

7 × 1229309
Deficient Odd Composite

8,605,163 factors as 7 × 1229309. Its 4 positive divisors give a proper-divisor sum of 1,229,317, so this integer is deficient. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 7 × 1229309
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,834,480
Proper Divisor Sum 1,229,317
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8605159 ← → #8605169

Radix Representation

Decimal 8605163
Binary 100000110100110111101011 (24 bits)
Octal 0o40646753
Hexadecimal 0x834DEB

Divisor Catalog (4)

1 7 1,229,309 8,605,163

Collatz Trajectory (243 steps to reach 1)

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

8,605,163 25,815,490 12,907,745 38,723,236 19,361,618 9,680,809 29,042,428 14,521,214 7,260,607 21,781,822 10,890,911 32,672,734 16,336,367 49,009,102 24,504,551 73,513,654 36,756,827 110,270,482 55,135,241 165,405,724 82,702,862 41,351,431 124,054,294 62,027,147 186,081,442 93,040,721 279,122,164 139,561,082 69,780,541 209,341,624 104,670,812 52,335,406 26,167,703 78,503,110 39,251,555 117,754,666 58,877,333 176,632,000 88,316,000 44,158,000 22,079,000 11,039,500 5,519,750 2,759,875 8,279,626 4,139,813 12,419,440 6,209,720 3,104,860 1,552,430 776,215 2,328,646 1,164,323 3,492,970 1,746,485 5,239,456 2,619,728 1,309,864 654,932 327,466

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