λ
Prime Ledger

2,376,585

32 × 5 × 52813
Deficient Odd Composite

2,376,585 has the prime decomposition 3^2 × 5 × 52813. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 52813
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,119,492
Proper Divisor Sum 1,742,907
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2376581 ← → #2376593

Radix Representation

Decimal 2376585
Binary 1001000100001110001001 (22 bits)
Octal 0o11041611
Hexadecimal 0x244389

Divisor Catalog (12)

1 3 5 9 15 45 52,813 158,439 264,065 475,317 792,195 2,376,585

Collatz Trajectory (99 steps to reach 1)

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

2,376,585 7,129,756 3,564,878 1,782,439 5,347,318 2,673,659 8,020,978 4,010,489 12,031,468 6,015,734 3,007,867 9,023,602 4,511,801 13,535,404 6,767,702 3,383,851 10,151,554 5,075,777 15,227,332 7,613,666 3,806,833 11,420,500 5,710,250 2,855,125 8,565,376 4,282,688 2,141,344 1,070,672 535,336 267,668 133,834 66,917 200,752 100,376 50,188 25,094 12,547 37,642 18,821 56,464 28,232 14,116 7,058 3,529 10,588 5,294 2,647 7,942 3,971 11,914 5,957 17,872 8,936 4,468 2,234 1,117 3,352 1,676 838 419

More profiles

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