λ
Harmonic Matrix

4,212,026

2 × 7 × 13 × 23143
Deficient Even Composite

4,212,026 has digital root 8. The neighboring primes are 4212023 and 4212029; its proper-divisor sum differs from the starting integer by -647,668.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 23143
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,776,384
Proper Divisor Sum 3,564,358
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #4212023 ← → #4212029

Radix Representation

Decimal 4212026
Binary 10000000100010100111010 (23 bits)
Octal 0o20042472
Hexadecimal 0x40453A

Divisor Catalog (16)

1 2 7 13 14 26 91 182 23,143 46,286 162,001 300,859 324,002 601,718 2,106,013 4,212,026

Collatz Trajectory (304 steps to reach 1)

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

4,212,026 2,106,013 6,318,040 3,159,020 1,579,510 789,755 2,369,266 1,184,633 3,553,900 1,776,950 888,475 2,665,426 1,332,713 3,998,140 1,999,070 999,535 2,998,606 1,499,303 4,497,910 2,248,955 6,746,866 3,373,433 10,120,300 5,060,150 2,530,075 7,590,226 3,795,113 11,385,340 5,692,670 2,846,335 8,539,006 4,269,503 12,808,510 6,404,255 19,212,766 9,606,383 28,819,150 14,409,575 43,228,726 21,614,363 64,843,090 32,421,545 97,264,636 48,632,318 24,316,159 72,948,478 36,474,239 109,422,718 54,711,359 164,134,078 82,067,039 246,201,118 123,100,559 369,301,678 184,650,839 553,952,518 276,976,259 830,928,778 415,464,389 1,246,393,168

More profiles

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