λ
Harmonic Matrix

9,996,997

113 × 88469
Deficient Odd Composite

9,996,997 has digital root 4. The neighboring primes are 9996991 and 9997007; its proper-divisor sum differs from the starting integer by -9,908,414.

Prime Factor Structure

Factorization String 113 × 88469
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,085,580
Proper Divisor Sum 88,583
Digit Sum / Digital Root 58 (Root: 4)
Adjacent Primes #9996991 ← → #9997007

Radix Representation

Decimal 9996997
Binary 100110001000101011000101 (24 bits)
Octal 0o46105305
Hexadecimal 0x988AC5

Divisor Catalog (4)

1 113 88,469 9,996,997

Collatz Trajectory (70 steps to reach 1)

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

9,996,997 29,990,992 14,995,496 7,497,748 3,748,874 1,874,437 5,623,312 2,811,656 1,405,828 702,914 351,457 1,054,372 527,186 263,593 790,780 395,390 197,695 593,086 296,543 889,630 444,815 1,334,446 667,223 2,001,670 1,000,835 3,002,506 1,501,253 4,503,760 2,251,880 1,125,940 562,970 281,485 844,456 422,228 211,114 105,557 316,672 158,336 79,168 39,584 19,792 9,896 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52

More profiles

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