λ
Harmonic Matrix

8,606,701

677 × 12713
Deficient Odd Composite

8,606,701 has digital root 1. The neighboring primes are 8606693 and 8606729; its proper-divisor sum differs from the starting integer by -8,593,310.

Prime Factor Structure

Factorization String 677 × 12713
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,620,092
Proper Divisor Sum 13,391
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8606693 ← → #8606729

Radix Representation

Decimal 8606701
Binary 100000110101001111101101 (24 bits)
Octal 0o40651755
Hexadecimal 0x8353ED

Divisor Catalog (4)

1 677 12,713 8,606,701

Collatz Trajectory (80 steps to reach 1)

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

8,606,701 25,820,104 12,910,052 6,455,026 3,227,513 9,682,540 4,841,270 2,420,635 7,261,906 3,630,953 10,892,860 5,446,430 2,723,215 8,169,646 4,084,823 12,254,470 6,127,235 18,381,706 9,190,853 27,572,560 13,786,280 6,893,140 3,446,570 1,723,285 5,169,856 2,584,928 1,292,464 646,232 323,116 161,558 80,779 242,338 121,169 363,508 181,754 90,877 272,632 136,316 68,158 34,079 102,238 51,119 153,358 76,679 230,038 115,019 345,058 172,529 517,588 258,794 129,397 388,192 194,096 97,048 48,524 24,262 12,131 36,394 18,197 54,592

More profiles

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