λ
Sigma Notebook

8,742,472

23 × 281 × 3889
Deficient Even Composite

8,742,472 is even and not a perfect square. Its factorization is 2^3 × 281 × 3889 and its 16 divisors sum to 16,454,700.

Prime Factor Structure

Factorization String 2^3 × 281 × 3889
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,454,700
Proper Divisor Sum 7,712,228
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8742469 ← → #8742493

Radix Representation

Decimal 8742472
Binary 100001010110011001001000 (24 bits)
Octal 0o41263110
Hexadecimal 0x856648

Divisor Catalog (16)

1 2 4 8 281 562 1,124 2,248 3,889 7,778 15,556 31,112 1,092,809 2,185,618 4,371,236 8,742,472

Collatz Trajectory (93 steps to reach 1)

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

8,742,472 4,371,236 2,185,618 1,092,809 3,278,428 1,639,214 819,607 2,458,822 1,229,411 3,688,234 1,844,117 5,532,352 2,766,176 1,383,088 691,544 345,772 172,886 86,443 259,330 129,665 388,996 194,498 97,249 291,748 145,874 72,937 218,812 109,406 54,703 164,110 82,055 246,166 123,083 369,250 184,625 553,876 276,938 138,469 415,408 207,704 103,852 51,926 25,963 77,890 38,945 116,836 58,418 29,209 87,628 43,814 21,907 65,722 32,861 98,584 49,292 24,646 12,323 36,970 18,485 55,456

More profiles

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