λ
Harmonic Matrix

8,391,172

22 × 53 × 39581
Deficient Even Composite

8,391,172 has digital root 4. The neighboring primes are 8391151 and 8391197; its proper-divisor sum differs from the starting integer by -1,820,348.

Prime Factor Structure

Factorization String 2^2 × 53 × 39581
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,961,996
Proper Divisor Sum 6,570,824
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8391151 ← → #8391197

Radix Representation

Decimal 8391172
Binary 100000000000101000000100 (24 bits)
Octal 0o40005004
Hexadecimal 0x800A04

Divisor Catalog (12)

1 2 4 53 106 212 39,581 79,162 158,324 2,097,793 4,195,586 8,391,172

Collatz Trajectory (80 steps to reach 1)

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

8,391,172 4,195,586 2,097,793 6,293,380 3,146,690 1,573,345 4,720,036 2,360,018 1,180,009 3,540,028 1,770,014 885,007 2,655,022 1,327,511 3,982,534 1,991,267 5,973,802 2,986,901 8,960,704 4,480,352 2,240,176 1,120,088 560,044 280,022 140,011 420,034 210,017 630,052 315,026 157,513 472,540 236,270 118,135 354,406 177,203 531,610 265,805 797,416 398,708 199,354 99,677 299,032 149,516 74,758 37,379 112,138 56,069 168,208 84,104 42,052 21,026 10,513 31,540 15,770 7,885 23,656 11,828 5,914 2,957 8,872

More profiles

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