λ
Prime Ledger

2,377,959

3 × 41 × 19333
Deficient Odd Composite

2,377,959 has the prime decomposition 3 × 41 × 19333. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 41 × 19333
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,248,112
Proper Divisor Sum 870,153
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #2377939 ← → #2377967

Radix Representation

Decimal 2377959
Binary 1001000100100011100111 (22 bits)
Octal 0o11044347
Hexadecimal 0x2448E7

Divisor Catalog (8)

1 3 41 123 19,333 57,999 792,653 2,377,959

Collatz Trajectory (148 steps to reach 1)

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

2,377,959 7,133,878 3,566,939 10,700,818 5,350,409 16,051,228 8,025,614 4,012,807 12,038,422 6,019,211 18,057,634 9,028,817 27,086,452 13,543,226 6,771,613 20,314,840 10,157,420 5,078,710 2,539,355 7,618,066 3,809,033 11,427,100 5,713,550 2,856,775 8,570,326 4,285,163 12,855,490 6,427,745 19,283,236 9,641,618 4,820,809 14,462,428 7,231,214 3,615,607 10,846,822 5,423,411 16,270,234 8,135,117 24,405,352 12,202,676 6,101,338 3,050,669 9,152,008 4,576,004 2,288,002 1,144,001 3,432,004 1,716,002 858,001 2,574,004 1,287,002 643,501 1,930,504 965,252 482,626 241,313 723,940 361,970 180,985 542,956

More profiles

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