λ
Prime Ledger

360,295

5 × 13 × 23 × 241
Deficient Odd Composite

360,295 has the prime decomposition 5 × 13 × 23 × 241. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 23 × 241
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 487,872
Proper Divisor Sum 127,577
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #360293 ← → #360307

Radix Representation

Decimal 360295
Binary 1010111111101100111 (19 bits)
Octal 0o1277547
Hexadecimal 0x57F67

Divisor Catalog (16)

1 5 13 23 65 115 241 299 1,205 1,495 3,133 5,543 15,665 27,715 72,059 360,295

Collatz Trajectory (122 steps to reach 1)

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

360,295 1,080,886 540,443 1,621,330 810,665 2,431,996 1,215,998 607,999 1,823,998 911,999 2,735,998 1,367,999 4,103,998 2,051,999 6,155,998 3,077,999 9,233,998 4,616,999 13,850,998 6,925,499 20,776,498 10,388,249 31,164,748 15,582,374 7,791,187 23,373,562 11,686,781 35,060,344 17,530,172 8,765,086 4,382,543 13,147,630 6,573,815 19,721,446 9,860,723 29,582,170 14,791,085 44,373,256 22,186,628 11,093,314 5,546,657 16,639,972 8,319,986 4,159,993 12,479,980 6,239,990 3,119,995 9,359,986 4,679,993 14,039,980 7,019,990 3,509,995 10,529,986 5,264,993 15,794,980 7,897,490 3,948,745 11,846,236 5,923,118 2,961,559

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