λ
Harmonic Matrix

1,388,769

3 × 31 × 109 × 137
Deficient Odd Composite

1,388,769 has digital root 6. The neighboring primes are 1388743 and 1388773; its proper-divisor sum differs from the starting integer by -834,498.

Prime Factor Structure

Factorization String 3 × 31 × 109 × 137
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,943,040
Proper Divisor Sum 554,271
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #1388743 ← → #1388773

Radix Representation

Decimal 1388769
Binary 101010011000011100001 (21 bits)
Octal 0o5230341
Hexadecimal 0x1530E1

Divisor Catalog (16)

1 3 31 93 109 137 327 411 3,379 4,247 10,137 12,741 14,933 44,799 462,923 1,388,769

Collatz Trajectory (186 steps to reach 1)

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

1,388,769 4,166,308 2,083,154 1,041,577 3,124,732 1,562,366 781,183 2,343,550 1,171,775 3,515,326 1,757,663 5,272,990 2,636,495 7,909,486 3,954,743 11,864,230 5,932,115 17,796,346 8,898,173 26,694,520 13,347,260 6,673,630 3,336,815 10,010,446 5,005,223 15,015,670 7,507,835 22,523,506 11,261,753 33,785,260 16,892,630 8,446,315 25,338,946 12,669,473 38,008,420 19,004,210 9,502,105 28,506,316 14,253,158 7,126,579 21,379,738 10,689,869 32,069,608 16,034,804 8,017,402 4,008,701 12,026,104 6,013,052 3,006,526 1,503,263 4,509,790 2,254,895 6,764,686 3,382,343 10,147,030 5,073,515 15,220,546 7,610,273 22,830,820 11,415,410

More profiles

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