λ
Harmonic Matrix

9,436,817

13 × 725909
Deficient Odd Composite

9,436,817 has digital root 2. The neighboring primes are 9436811 and 9436841; its proper-divisor sum differs from the starting integer by -8,710,894.

Prime Factor Structure

Factorization String 13 × 725909
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,162,740
Proper Divisor Sum 725,923
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9436811 ← → #9436841

Radix Representation

Decimal 9436817
Binary 100011111111111010010001 (24 bits)
Octal 0o43777221
Hexadecimal 0x8FFE91

Divisor Catalog (4)

1 13 725,909 9,436,817

Collatz Trajectory (70 steps to reach 1)

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

9,436,817 28,310,452 14,155,226 7,077,613 21,232,840 10,616,420 5,308,210 2,654,105 7,962,316 3,981,158 1,990,579 5,971,738 2,985,869 8,957,608 4,478,804 2,239,402 1,119,701 3,359,104 1,679,552 839,776 419,888 209,944 104,972 52,486 26,243 78,730 39,365 118,096 59,048 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52

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