λ
Harmonic Matrix

1,385,376

25 × 3 × 14431
Abundant Even Composite

1,385,376 has digital root 6. The neighboring primes are 1385369 and 1385383; its proper-divisor sum differs from the starting integer by 866,112.

Prime Factor Structure

Factorization String 2^5 × 3 × 14431
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,636,864
Proper Divisor Sum 2,251,488
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1385369 ← → #1385383

Radix Representation

Decimal 1385376
Binary 101010010001110100000 (21 bits)
Octal 0o5221640
Hexadecimal 0x1523A0

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 14,431 28,862 43,293 57,724 86,586 115,448 173,172 230,896 346,344 461,792 692,688 1,385,376

Collatz Trajectory (75 steps to reach 1)

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

1,385,376 692,688 346,344 173,172 86,586 43,293 129,880 64,940 32,470 16,235 48,706 24,353 73,060 36,530 18,265 54,796 27,398 13,699 41,098 20,549 61,648 30,824 15,412 7,706 3,853 11,560 5,780 2,890 1,445 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7

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