λ
Harmonic Matrix

96,287

73 × 1319
Deficient Odd Composite

96,287 has digital root 5. The neighboring primes are 96281 and 96289; its proper-divisor sum differs from the starting integer by -94,894.

Prime Factor Structure

Factorization String 73 × 1319
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 97,680
Proper Divisor Sum 1,393
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #96281 ← → #96289

Radix Representation

Decimal 96287
Binary 10111100000011111 (17 bits)
Octal 0o274037
Hexadecimal 0x1781F

Divisor Catalog (4)

1 73 1,319 96,287

Collatz Trajectory (102 steps to reach 1)

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

96,287 288,862 144,431 433,294 216,647 649,942 324,971 974,914 487,457 1,462,372 731,186 365,593 1,096,780 548,390 274,195 822,586 411,293 1,233,880 616,940 308,470 154,235 462,706 231,353 694,060 347,030 173,515 520,546 260,273 780,820 390,410 195,205 585,616 292,808 146,404 73,202 36,601 109,804 54,902 27,451 82,354 41,177 123,532 61,766 30,883 92,650 46,325 138,976 69,488 34,744 17,372 8,686 4,343 13,030 6,515 19,546 9,773 29,320 14,660 7,330 3,665

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