λ
Prime Ledger

1,576,315

5 × 13 × 24251
Deficient Odd Composite

1,576,315 has the prime decomposition 5 × 13 × 24251. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 24251
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,037,168
Proper Divisor Sum 460,853
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1576283 ← → #1576321

Radix Representation

Decimal 1576315
Binary 110000000110101111011 (21 bits)
Octal 0o6006573
Hexadecimal 0x180D7B

Divisor Catalog (8)

1 5 13 65 24,251 121,255 315,263 1,576,315

Collatz Trajectory (88 steps to reach 1)

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

1,576,315 4,728,946 2,364,473 7,093,420 3,546,710 1,773,355 5,320,066 2,660,033 7,980,100 3,990,050 1,995,025 5,985,076 2,992,538 1,496,269 4,488,808 2,244,404 1,122,202 561,101 1,683,304 841,652 420,826 210,413 631,240 315,620 157,810 78,905 236,716 118,358 59,179 177,538 88,769 266,308 133,154 66,577 199,732 99,866 49,933 149,800 74,900 37,450 18,725 56,176 28,088 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667

More profiles

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