λ
Harmonic Matrix

1,394,028

22 × 32 × 38723
Abundant Even Composite

1,394,028 has digital root 9. The neighboring primes are 1394027 and 1394047; its proper-divisor sum differs from the starting integer by 735,828.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 38723
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 3,523,884
Proper Divisor Sum 2,129,856
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1394027 ← → #1394047

Radix Representation

Decimal 1394028
Binary 101010100010101101100 (21 bits)
Octal 0o5242554
Hexadecimal 0x15456C

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 38,723 77,446 116,169 154,892 232,338 348,507 464,676 697,014 1,394,028

Collatz Trajectory (168 steps to reach 1)

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

1,394,028 697,014 348,507 1,045,522 522,761 1,568,284 784,142 392,071 1,176,214 588,107 1,764,322 882,161 2,646,484 1,323,242 661,621 1,984,864 992,432 496,216 248,108 124,054 62,027 186,082 93,041 279,124 139,562 69,781 209,344 104,672 52,336 26,168 13,084 6,542 3,271 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 82 41

More profiles

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