λ
Harmonic Matrix

8,467,315

5 × 433 × 3911
Deficient Odd Composite

8,467,315 has digital root 7. The neighboring primes are 8467307 and 8467357; its proper-divisor sum differs from the starting integer by -6,747,782.

Prime Factor Structure

Factorization String 5 × 433 × 3911
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,186,848
Proper Divisor Sum 1,719,533
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8467307 ← → #8467357

Radix Representation

Decimal 8467315
Binary 100000010011001101110011 (24 bits)
Octal 0o40231563
Hexadecimal 0x813373

Divisor Catalog (8)

1 5 433 2,165 3,911 19,555 1,693,463 8,467,315

Collatz Trajectory (155 steps to reach 1)

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

8,467,315 25,401,946 12,700,973 38,102,920 19,051,460 9,525,730 4,762,865 14,288,596 7,144,298 3,572,149 10,716,448 5,358,224 2,679,112 1,339,556 669,778 334,889 1,004,668 502,334 251,167 753,502 376,751 1,130,254 565,127 1,695,382 847,691 2,543,074 1,271,537 3,814,612 1,907,306 953,653 2,860,960 1,430,480 715,240 357,620 178,810 89,405 268,216 134,108 67,054 33,527 100,582 50,291 150,874 75,437 226,312 113,156 56,578 28,289 84,868 42,434 21,217 63,652 31,826 15,913 47,740 23,870 11,935 35,806 17,903 53,710

More profiles

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