λ
Harmonic Matrix

2,948,607

32 × 139 × 2357
Deficient Odd Composite

2,948,607 has digital root 9. The neighboring primes are 2948587 and 2948611; its proper-divisor sum differs from the starting integer by -1,605,654.

Prime Factor Structure

Factorization String 3^2 × 139 × 2357
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,291,560
Proper Divisor Sum 1,342,953
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2948587 ← → #2948611

Radix Representation

Decimal 2948607
Binary 1011001111110111111111 (22 bits)
Octal 0o13176777
Hexadecimal 0x2CFDFF

Divisor Catalog (12)

1 3 9 139 417 1,251 2,357 7,071 21,213 327,623 982,869 2,948,607

Collatz Trajectory (394 steps to reach 1)

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

2,948,607 8,845,822 4,422,911 13,268,734 6,634,367 19,903,102 9,951,551 29,854,654 14,927,327 44,781,982 22,390,991 67,172,974 33,586,487 100,759,462 50,379,731 151,139,194 75,569,597 226,708,792 113,354,396 56,677,198 28,338,599 85,015,798 42,507,899 127,523,698 63,761,849 191,285,548 95,642,774 47,821,387 143,464,162 71,732,081 215,196,244 107,598,122 53,799,061 161,397,184 80,698,592 40,349,296 20,174,648 10,087,324 5,043,662 2,521,831 7,565,494 3,782,747 11,348,242 5,674,121 17,022,364 8,511,182 4,255,591 12,766,774 6,383,387 19,150,162 9,575,081 28,725,244 14,362,622 7,181,311 21,543,934 10,771,967 32,315,902 16,157,951 48,473,854 24,236,927

More profiles

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