λ
Harmonic Matrix

1,364,330

2 × 5 × 11 × 79 × 157
Abundant Even Composite

1,364,330 has digital root 2. The neighboring primes are 1364329 and 1364339; its proper-divisor sum differs from the starting integer by 1,580.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 79 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,730,240
Proper Divisor Sum 1,365,910
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1364329 ← → #1364339

Radix Representation

Decimal 1364330
Binary 101001101000101101010 (21 bits)
Octal 0o5150552
Hexadecimal 0x14D16A

Divisor Catalog (32)

1 2 5 10 11 22 55 79 110 157 158 314 395 785 790 869 1,570 1,727 1,738 3,454 4,345 8,635 8,690 12,403 17,270 24,806 62,015 124,030 136,433 272,866 682,165 1,364,330

Collatz Trajectory (93 steps to reach 1)

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

1,364,330 682,165 2,046,496 1,023,248 511,624 255,812 127,906 63,953 191,860 95,930 47,965 143,896 71,948 35,974 17,987 53,962 26,981 80,944 40,472 20,236 10,118 5,059 15,178 7,589 22,768 11,384 5,692 2,846 1,423 4,270 2,135 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457

More profiles

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