λ
Zalai Atlas

560,415

3 × 5 × 37361
Deficient Odd Composite

560,415 has the prime decomposition 3 × 5 × 37361. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 37361
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 896,688
Proper Divisor Sum 336,273
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #560411 ← → #560437

Radix Representation

Decimal 560415
Binary 10001000110100011111 (20 bits)
Octal 0o2106437
Hexadecimal 0x88D1F

Divisor Catalog (8)

1 3 5 15 37,361 112,083 186,805 560,415

Collatz Trajectory (252 steps to reach 1)

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

560,415 1,681,246 840,623 2,521,870 1,260,935 3,782,806 1,891,403 5,674,210 2,837,105 8,511,316 4,255,658 2,127,829 6,383,488 3,191,744 1,595,872 797,936 398,968 199,484 99,742 49,871 149,614 74,807 224,422 112,211 336,634 168,317 504,952 252,476 126,238 63,119 189,358 94,679 284,038 142,019 426,058 213,029 639,088 319,544 159,772 79,886 39,943 119,830 59,915 179,746 89,873 269,620 134,810 67,405 202,216 101,108 50,554 25,277 75,832 37,916 18,958 9,479 28,438 14,219 42,658 21,329

More profiles

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