96,303

3 × 47 × 683

96,303 factors as 3 × 47 × 683. Its 8 positive divisors give a proper-divisor sum of 35,025, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 3 × 47 × 683

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 131,328

Proper Divisor Sum 35,025

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #96293 ← → #96323

Radix Representation

Decimal	96303
Binary	10111100000101111 (17 bits)
Octal	0o274057
Hexadecimal	0x1782F

Divisor Catalog (8)

1 3 47 141 683 2,049 32,101 96,303

Collatz Trajectory (97 steps to reach 1)

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

96,303 288,910 144,455 433,366 216,683 650,050 325,025 975,076 487,538 243,769 731,308 365,654 182,827 548,482 274,241 822,724 411,362 205,681 617,044 308,522 154,261 462,784 231,392 115,696 57,848 28,924 14,462 7,231 21,694 10,847 32,542 16,271 48,814 24,407 73,222 36,611 109,834 54,917 164,752 82,376 41,188 20,594 10,297 30,892 15,446 7,723 23,170 11,585 34,756 17,378 8,689 26,068 13,034 6,517 19,552 9,776 4,888 2,444 1,222 611

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