λ
Prime Ledger

560,145

3 × 5 × 107 × 349
Deficient Odd Composite

560,145 has the prime decomposition 3 × 5 × 107 × 349. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 107 × 349
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 907,200
Proper Divisor Sum 347,055
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #560137 ← → #560149

Radix Representation

Decimal 560145
Binary 10001000110000010001 (20 bits)
Octal 0o2106021
Hexadecimal 0x88C11

Divisor Catalog (16)

1 3 5 15 107 321 349 535 1,047 1,605 1,745 5,235 37,343 112,029 186,715 560,145

Collatz Trajectory (84 steps to reach 1)

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

560,145 1,680,436 840,218 420,109 1,260,328 630,164 315,082 157,541 472,624 236,312 118,156 59,078 29,539 88,618 44,309 132,928 66,464 33,232 16,616 8,308 4,154 2,077 6,232 3,116 1,558 779 2,338 1,169 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101

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