λ
Prime Ledger

3,238,815

3 × 5 × 215921
Deficient Odd Composite

3,238,815 has the prime decomposition 3 × 5 × 215921. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 215921
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,182,128
Proper Divisor Sum 1,943,313
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3238811 ← → #3238819

Radix Representation

Decimal 3238815
Binary 1100010110101110011111 (22 bits)
Octal 0o14265637
Hexadecimal 0x316B9F

Divisor Catalog (8)

1 3 5 15 215,921 647,763 1,079,605 3,238,815

Collatz Trajectory (270 steps to reach 1)

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

3,238,815 9,716,446 4,858,223 14,574,670 7,287,335 21,862,006 10,931,003 32,793,010 16,396,505 49,189,516 24,594,758 12,297,379 36,892,138 18,446,069 55,338,208 27,669,104 13,834,552 6,917,276 3,458,638 1,729,319 5,187,958 2,593,979 7,781,938 3,890,969 11,672,908 5,836,454 2,918,227 8,754,682 4,377,341 13,132,024 6,566,012 3,283,006 1,641,503 4,924,510 2,462,255 7,386,766 3,693,383 11,080,150 5,540,075 16,620,226 8,310,113 24,930,340 12,465,170 6,232,585 18,697,756 9,348,878 4,674,439 14,023,318 7,011,659 21,034,978 10,517,489 31,552,468 15,776,234 7,888,117 23,664,352 11,832,176 5,916,088 2,958,044 1,479,022 739,511

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