λ
Harmonic Matrix

8,704,741

23 × 378467
Deficient Odd Composite

8,704,741 has digital root 4. The neighboring primes are 8704723 and 8704757; its proper-divisor sum differs from the starting integer by -8,326,250.

Prime Factor Structure

Factorization String 23 × 378467
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,083,232
Proper Divisor Sum 378,491
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8704723 ← → #8704757

Radix Representation

Decimal 8704741
Binary 100001001101001011100101 (24 bits)
Octal 0o41151345
Hexadecimal 0x84D2E5

Divisor Catalog (4)

1 23 378,467 8,704,741

Collatz Trajectory (212 steps to reach 1)

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

8,704,741 26,114,224 13,057,112 6,528,556 3,264,278 1,632,139 4,896,418 2,448,209 7,344,628 3,672,314 1,836,157 5,508,472 2,754,236 1,377,118 688,559 2,065,678 1,032,839 3,098,518 1,549,259 4,647,778 2,323,889 6,971,668 3,485,834 1,742,917 5,228,752 2,614,376 1,307,188 653,594 326,797 980,392 490,196 245,098 122,549 367,648 183,824 91,912 45,956 22,978 11,489 34,468 17,234 8,617 25,852 12,926 6,463 19,390 9,695 29,086 14,543 43,630 21,815 65,446 32,723 98,170 49,085 147,256 73,628 36,814 18,407 55,222

More profiles

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