λ
Harmonic Matrix

1,374,858

2 × 32 × 17 × 4493
Abundant Even Composite

1,374,858 has digital root 9. The neighboring primes are 1374851 and 1374869; its proper-divisor sum differs from the starting integer by 405,072.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 4493
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,154,788
Proper Divisor Sum 1,779,930
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1374851 ← → #1374869

Radix Representation

Decimal 1374858
Binary 101001111101010001010 (21 bits)
Octal 0o5175212
Hexadecimal 0x14FA8A

Divisor Catalog (24)

1 2 3 6 9 17 18 34 51 102 153 306 4,493 8,986 13,479 26,958 40,437 76,381 80,874 152,762 229,143 458,286 687,429 1,374,858

Collatz Trajectory (155 steps to reach 1)

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

1,374,858 687,429 2,062,288 1,031,144 515,572 257,786 128,893 386,680 193,340 96,670 48,335 145,006 72,503 217,510 108,755 326,266 163,133 489,400 244,700 122,350 61,175 183,526 91,763 275,290 137,645 412,936 206,468 103,234 51,617 154,852 77,426 38,713 116,140 58,070 29,035 87,106 43,553 130,660 65,330 32,665 97,996 48,998 24,499 73,498 36,749 110,248 55,124 27,562 13,781 41,344 20,672 10,336 5,168 2,584 1,292 646 323 970 485 1,456

More profiles

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