λ
Prime Ledger

8,797,126

2 × 132 × 17 × 1531
Deficient Even Composite

8,797,126 has the prime decomposition 2 × 13^2 × 17 × 1531. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 13^2 × 17 × 1531
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,139,224
Proper Divisor Sum 6,342,098
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8797111 ← → #8797153

Radix Representation

Decimal 8797126
Binary 100001100011101111000110 (24 bits)
Octal 0o41435706
Hexadecimal 0x863BC6

Divisor Catalog (24)

1 2 13 17 26 34 169 221 338 442 1,531 2,873 3,062 5,746 19,903 26,027 39,806 52,054 258,739 338,351 517,478 676,702 4,398,563 8,797,126

Collatz Trajectory (150 steps to reach 1)

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

8,797,126 4,398,563 13,195,690 6,597,845 19,793,536 9,896,768 4,948,384 2,474,192 1,237,096 618,548 309,274 154,637 463,912 231,956 115,978 57,989 173,968 86,984 43,492 21,746 10,873 32,620 16,310 8,155 24,466 12,233 36,700 18,350 9,175 27,526 13,763 41,290 20,645 61,936 30,968 15,484 7,742 3,871 11,614 5,807 17,422 8,711 26,134 13,067 39,202 19,601 58,804 29,402 14,701 44,104 22,052 11,026 5,513 16,540 8,270 4,135 12,406 6,203 18,610 9,305

More profiles

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