λ
Harmonic Matrix

2,137,178

2 × 1068589
Deficient Even Composite

2,137,178 has digital root 2. The neighboring primes are 2137159 and 2137193; its proper-divisor sum differs from the starting integer by -1,068,586.

Prime Factor Structure

Factorization String 2 × 1068589
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,205,770
Proper Divisor Sum 1,068,592
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2137159 ← → #2137193

Radix Representation

Decimal 2137178
Binary 1000001001110001011010 (22 bits)
Octal 0o10116132
Hexadecimal 0x209C5A

Divisor Catalog (4)

1 2 1,068,589 2,137,178

Collatz Trajectory (148 steps to reach 1)

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

2,137,178 1,068,589 3,205,768 1,602,884 801,442 400,721 1,202,164 601,082 300,541 901,624 450,812 225,406 112,703 338,110 169,055 507,166 253,583 760,750 380,375 1,141,126 570,563 1,711,690 855,845 2,567,536 1,283,768 641,884 320,942 160,471 481,414 240,707 722,122 361,061 1,083,184 541,592 270,796 135,398 67,699 203,098 101,549 304,648 152,324 76,162 38,081 114,244 57,122 28,561 85,684 42,842 21,421 64,264 32,132 16,066 8,033 24,100 12,050 6,025 18,076 9,038 4,519 13,558

More profiles

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