λ
Harmonic Matrix

1,373,850

2 × 32 × 52 × 43 × 71
Abundant Even Composite

1,373,850 has digital root 9. The neighboring primes are 1373849 and 1373851; its proper-divisor sum differs from the starting integer by 1,082,412.

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 43 × 71
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 3,830,112
Proper Divisor Sum 2,456,262
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1373849 ← → #1373851

Radix Representation

Decimal 1373850
Binary 101001111011010011010 (21 bits)
Octal 0o5173232
Hexadecimal 0x14F69A

Divisor Catalog (60 of 72)

1 2 3 5 6 9 10 15 18 25 30 43 45 50 71 75 86 90 129 142 150 213 215 225 258 355 387 426 430 450 639 645 710 774 1,065 1,075 1,278 1,290 1,775 1,935 2,130 2,150 3,053 3,195 3,225 3,550 3,870 5,325 6,106 6,390 6,450 9,159 9,675 10,650 15,265 15,975 18,318 19,350 27,477 30,530

Collatz Trajectory (54 steps to reach 1)

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

1,373,850 686,925 2,060,776 1,030,388 515,194 257,597 772,792 386,396 193,198 96,599 289,798 144,899 434,698 217,349 652,048 326,024 163,012 81,506 40,753 122,260 61,130 30,565 91,696 45,848 22,924 11,462 5,731 17,194 8,597 25,792 12,896 6,448 3,224 1,612 806 403 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

More profiles

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