96,446

2 × 7 × 83²

96,446 is even and not a perfect square. Its factorization is 2 × 7 × 83^2 and its 12 divisors sum to 167,352.

Prime Factor Structure

Factorization String 2 × 7 × 83^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 167,352

Proper Divisor Sum 70,906

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #96443 ← → #96451

Radix Representation

Decimal	96446
Binary	10111100010111110 (17 bits)
Octal	0o274276
Hexadecimal	0x178BE

Divisor Catalog (12)

1 2 7 14 83 166 581 1,162 6,889 13,778 48,223 96,446

Collatz Trajectory (128 steps to reach 1)

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

96,446 48,223 144,670 72,335 217,006 108,503 325,510 162,755 488,266 244,133 732,400 366,200 183,100 91,550 45,775 137,326 68,663 205,990 102,995 308,986 154,493 463,480 231,740 115,870 57,935 173,806 86,903 260,710 130,355 391,066 195,533 586,600 293,300 146,650 73,325 219,976 109,988 54,994 27,497 82,492 41,246 20,623 61,870 30,935 92,806 46,403 139,210 69,605 208,816 104,408 52,204 26,102 13,051 39,154 19,577 58,732 29,366 14,683 44,050 22,025

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