λ
Sigma Notebook

7,040,464

24 × 131 × 3359
Deficient Even Composite

7,040,464 is even and not a perfect square. Its factorization is 2^4 × 131 × 3359 and its 20 divisors sum to 13,749,120.

Prime Factor Structure

Factorization String 2^4 × 131 × 3359
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 13,749,120
Proper Divisor Sum 6,708,656
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7040443 ← → #7040477

Radix Representation

Decimal 7040464
Binary 11010110110110111010000 (23 bits)
Octal 0o32666720
Hexadecimal 0x6B6DD0

Divisor Catalog (20)

1 2 4 8 16 131 262 524 1,048 2,096 3,359 6,718 13,436 26,872 53,744 440,029 880,058 1,760,116 3,520,232 7,040,464

Collatz Trajectory (222 steps to reach 1)

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

7,040,464 3,520,232 1,760,116 880,058 440,029 1,320,088 660,044 330,022 165,011 495,034 247,517 742,552 371,276 185,638 92,819 278,458 139,229 417,688 208,844 104,422 52,211 156,634 78,317 234,952 117,476 58,738 29,369 88,108 44,054 22,027 66,082 33,041 99,124 49,562 24,781 74,344 37,172 18,586 9,293 27,880 13,940 6,970 3,485 10,456 5,228 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451

More profiles

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