λ
Prime Ledger

8,622,718

2 × 132 × 97 × 263
Deficient Even Composite

8,622,718 has the prime decomposition 2 × 13^2 × 97 × 263. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 13^2 × 97 × 263
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,203,728
Proper Divisor Sum 5,581,010
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8622707 ← → #8622721

Radix Representation

Decimal 8622718
Binary 100000111001001001111110 (24 bits)
Octal 0o40711176
Hexadecimal 0x83927E

Divisor Catalog (24)

1 2 13 26 97 169 194 263 338 526 1,261 2,522 3,419 6,838 16,393 25,511 32,786 44,447 51,022 88,894 331,643 663,286 4,311,359 8,622,718

Collatz Trajectory (230 steps to reach 1)

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

8,622,718 4,311,359 12,934,078 6,467,039 19,401,118 9,700,559 29,101,678 14,550,839 43,652,518 21,826,259 65,478,778 32,739,389 98,218,168 49,109,084 24,554,542 12,277,271 36,831,814 18,415,907 55,247,722 27,623,861 82,871,584 41,435,792 20,717,896 10,358,948 5,179,474 2,589,737 7,769,212 3,884,606 1,942,303 5,826,910 2,913,455 8,740,366 4,370,183 13,110,550 6,555,275 19,665,826 9,832,913 29,498,740 14,749,370 7,374,685 22,124,056 11,062,028 5,531,014 2,765,507 8,296,522 4,148,261 12,444,784 6,222,392 3,111,196 1,555,598 777,799 2,333,398 1,166,699 3,500,098 1,750,049 5,250,148 2,625,074 1,312,537 3,937,612 1,968,806

More profiles

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