λ
Harmonic Matrix

9,706,487

7 × 47 × 163 × 181
Deficient Odd Composite

9,706,487 has digital root 5. The neighboring primes are 9706471 and 9706513; its proper-divisor sum differs from the starting integer by -7,951,342.

Prime Factor Structure

Factorization String 7 × 47 × 163 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,461,632
Proper Divisor Sum 1,755,145
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9706471 ← → #9706513

Radix Representation

Decimal 9706487
Binary 100101000001101111110111 (24 bits)
Octal 0o45015767
Hexadecimal 0x941BF7

Divisor Catalog (16)

1 7 47 163 181 329 1,141 1,267 7,661 8,507 29,503 53,627 59,549 206,521 1,386,641 9,706,487

Collatz Trajectory (207 steps to reach 1)

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

9,706,487 29,119,462 14,559,731 43,679,194 21,839,597 65,518,792 32,759,396 16,379,698 8,189,849 24,569,548 12,284,774 6,142,387 18,427,162 9,213,581 27,640,744 13,820,372 6,910,186 3,455,093 10,365,280 5,182,640 2,591,320 1,295,660 647,830 323,915 971,746 485,873 1,457,620 728,810 364,405 1,093,216 546,608 273,304 136,652 68,326 34,163 102,490 51,245 153,736 76,868 38,434 19,217 57,652 28,826 14,413 43,240 21,620 10,810 5,405 16,216 8,108 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711

More profiles

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