λ
Harmonic Matrix

2,574,438

2 × 3 × 277 × 1549
Abundant Even Composite

2,574,438 has digital root 6. The neighboring primes are 2574437 and 2574449; its proper-divisor sum differs from the starting integer by 21,924.

Prime Factor Structure

Factorization String 2 × 3 × 277 × 1549
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,170,800
Proper Divisor Sum 2,596,362
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2574437 ← → #2574449

Radix Representation

Decimal 2574438
Binary 1001110100100001100110 (22 bits)
Octal 0o11644146
Hexadecimal 0x274866

Divisor Catalog (16)

1 2 3 6 277 554 831 1,549 1,662 3,098 4,647 9,294 429,073 858,146 1,287,219 2,574,438

Collatz Trajectory (99 steps to reach 1)

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

2,574,438 1,287,219 3,861,658 1,930,829 5,792,488 2,896,244 1,448,122 724,061 2,172,184 1,086,092 543,046 271,523 814,570 407,285 1,221,856 610,928 305,464 152,732 76,366 38,183 114,550 57,275 171,826 85,913 257,740 128,870 64,435 193,306 96,653 289,960 144,980 72,490 36,245 108,736 54,368 27,184 13,592 6,796 3,398 1,699 5,098 2,549 7,648 3,824 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734

More profiles

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