λ
Prime Ledger

91,671

3 × 30557
Deficient Odd Composite

91,671 has the prime decomposition 3 × 30557. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 30557
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 122,232
Proper Divisor Sum 30,561
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #91639 ← → #91673

Radix Representation

Decimal 91671
Binary 10110011000010111 (17 bits)
Octal 0o263027
Hexadecimal 0x16617

Divisor Catalog (4)

1 3 30,557 91,671

Collatz Trajectory (177 steps to reach 1)

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

91,671 275,014 137,507 412,522 206,261 618,784 309,392 154,696 77,348 38,674 19,337 58,012 29,006 14,503 43,510 21,755 65,266 32,633 97,900 48,950 24,475 73,426 36,713 110,140 55,070 27,535 82,606 41,303 123,910 61,955 185,866 92,933 278,800 139,400 69,700 34,850 17,425 52,276 26,138 13,069 39,208 19,604 9,802 4,901 14,704 7,352 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97

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