λ
Harmonic Matrix

3,008,413

443 × 6791
Deficient Odd Composite

3,008,413 has digital root 1. The neighboring primes are 3008393 and 3008417; its proper-divisor sum differs from the starting integer by -3,001,178.

Prime Factor Structure

Factorization String 443 × 6791
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,015,648
Proper Divisor Sum 7,235
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3008393 ← → #3008417

Radix Representation

Decimal 3008413
Binary 1011011110011110011101 (22 bits)
Octal 0o13363635
Hexadecimal 0x2DE79D

Divisor Catalog (4)

1 443 6,791 3,008,413

Collatz Trajectory (164 steps to reach 1)

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

3,008,413 9,025,240 4,512,620 2,256,310 1,128,155 3,384,466 1,692,233 5,076,700 2,538,350 1,269,175 3,807,526 1,903,763 5,711,290 2,855,645 8,566,936 4,283,468 2,141,734 1,070,867 3,212,602 1,606,301 4,818,904 2,409,452 1,204,726 602,363 1,807,090 903,545 2,710,636 1,355,318 677,659 2,032,978 1,016,489 3,049,468 1,524,734 762,367 2,287,102 1,143,551 3,430,654 1,715,327 5,145,982 2,572,991 7,718,974 3,859,487 11,578,462 5,789,231 17,367,694 8,683,847 26,051,542 13,025,771 39,077,314 19,538,657 58,615,972 29,307,986 14,653,993 43,961,980 21,980,990 10,990,495 32,971,486 16,485,743 49,457,230 24,728,615

More profiles

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