λ
Harmonic Matrix

9,876,407

23 × 429409
Deficient Odd Composite

9,876,407 has digital root 5. The neighboring primes are 9876379 and 9876413; its proper-divisor sum differs from the starting integer by -9,446,974.

Prime Factor Structure

Factorization String 23 × 429409
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,305,840
Proper Divisor Sum 429,433
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9876379 ← → #9876413

Radix Representation

Decimal 9876407
Binary 100101101011001110110111 (24 bits)
Octal 0o45531667
Hexadecimal 0x96B3B7

Divisor Catalog (4)

1 23 429,409 9,876,407

Collatz Trajectory (88 steps to reach 1)

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

9,876,407 29,629,222 14,814,611 44,443,834 22,221,917 66,665,752 33,332,876 16,666,438 8,333,219 24,999,658 12,499,829 37,499,488 18,749,744 9,374,872 4,687,436 2,343,718 1,171,859 3,515,578 1,757,789 5,273,368 2,636,684 1,318,342 659,171 1,977,514 988,757 2,966,272 1,483,136 741,568 370,784 185,392 92,696 46,348 23,174 11,587 34,762 17,381 52,144 26,072 13,036 6,518 3,259 9,778 4,889 14,668 7,334 3,667 11,002 5,501 16,504 8,252 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448

More profiles

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