λ
Harmonic Matrix

1,284,538

2 × 61 × 10529
Deficient Even Composite

1,284,538 has digital root 4. The neighboring primes are 1284523 and 1284541; its proper-divisor sum differs from the starting integer by -610,496.

Prime Factor Structure

Factorization String 2 × 61 × 10529
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,958,580
Proper Divisor Sum 674,042
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1284523 ← → #1284541

Radix Representation

Decimal 1284538
Binary 100111001100110111010 (21 bits)
Octal 0o4714672
Hexadecimal 0x1399BA

Divisor Catalog (8)

1 2 61 122 10,529 21,058 642,269 1,284,538

Collatz Trajectory (124 steps to reach 1)

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

1,284,538 642,269 1,926,808 963,404 481,702 240,851 722,554 361,277 1,083,832 541,916 270,958 135,479 406,438 203,219 609,658 304,829 914,488 457,244 228,622 114,311 342,934 171,467 514,402 257,201 771,604 385,802 192,901 578,704 289,352 144,676 72,338 36,169 108,508 54,254 27,127 81,382 40,691 122,074 61,037 183,112 91,556 45,778 22,889 68,668 34,334 17,167 51,502 25,751 77,254 38,627 115,882 57,941 173,824 86,912 43,456 21,728 10,864 5,432 2,716 1,358

More profiles

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