λ
Harmonic Matrix

3,159,988

22 × 13 × 67 × 907
Deficient Even Composite

3,159,988 has digital root 7. The neighboring primes are 3159973 and 3159991; its proper-divisor sum differs from the starting integer by -269,064.

Prime Factor Structure

Factorization String 2^2 × 13 × 67 × 907
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,050,912
Proper Divisor Sum 2,890,924
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #3159973 ← → #3159991

Radix Representation

Decimal 3159988
Binary 1100000011011110110100 (22 bits)
Octal 0o14033664
Hexadecimal 0x3037B4

Divisor Catalog (24)

1 2 4 13 26 52 67 134 268 871 907 1,742 1,814 3,484 3,628 11,791 23,582 47,164 60,769 121,538 243,076 789,997 1,579,994 3,159,988

Collatz Trajectory (164 steps to reach 1)

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

3,159,988 1,579,994 789,997 2,369,992 1,184,996 592,498 296,249 888,748 444,374 222,187 666,562 333,281 999,844 499,922 249,961 749,884 374,942 187,471 562,414 281,207 843,622 421,811 1,265,434 632,717 1,898,152 949,076 474,538 237,269 711,808 355,904 177,952 88,976 44,488 22,244 11,122 5,561 16,684 8,342 4,171 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188 94

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