λ
Prime Ledger

365,915

5 × 11 × 6653
Deficient Odd Composite

365,915 has the prime decomposition 5 × 11 × 6653. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 6653
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 479,088
Proper Divisor Sum 113,173
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #365903 ← → #365929

Radix Representation

Decimal 365915
Binary 1011001010101011011 (19 bits)
Octal 0o1312533
Hexadecimal 0x5955B

Divisor Catalog (8)

1 5 11 55 6,653 33,265 73,183 365,915

Collatz Trajectory (135 steps to reach 1)

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

365,915 1,097,746 548,873 1,646,620 823,310 411,655 1,234,966 617,483 1,852,450 926,225 2,778,676 1,389,338 694,669 2,084,008 1,042,004 521,002 260,501 781,504 390,752 195,376 97,688 48,844 24,422 12,211 36,634 18,317 54,952 27,476 13,738 6,869 20,608 10,304 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395

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