λ
Prime Ledger

365,115

3 × 5 × 101 × 241
Deficient Odd Composite

365,115 has the prime decomposition 3 × 5 × 101 × 241. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 101 × 241
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 592,416
Proper Divisor Sum 227,301
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #365107 ← → #365119

Radix Representation

Decimal 365115
Binary 1011001001000111011 (19 bits)
Octal 0o1311073
Hexadecimal 0x5923B

Divisor Catalog (16)

1 3 5 15 101 241 303 505 723 1,205 1,515 3,615 24,341 73,023 121,705 365,115

Collatz Trajectory (60 steps to reach 1)

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

365,115 1,095,346 547,673 1,643,020 821,510 410,755 1,232,266 616,133 1,848,400 924,200 462,100 231,050 115,525 346,576 173,288 86,644 43,322 21,661 64,984 32,492 16,246 8,123 24,370 12,185 36,556 18,278 9,139 27,418 13,709 41,128 20,564 10,282 5,141 15,424 7,712 3,856 1,928 964 482 241 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2

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