λ
Prime Ledger

1,381,888

29 × 2699
Deficient Even Composite

1,381,888 has the prime decomposition 2^9 × 2699. Its 2 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^9 × 2699
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 2,762,100
Proper Divisor Sum 1,380,212
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #1381883 ← → #1381901

Radix Representation

Decimal 1381888
Binary 101010001011000000000 (21 bits)
Octal 0o5213000
Hexadecimal 0x151600

Divisor Catalog (20)

1 2 4 8 16 32 64 128 256 512 2,699 5,398 10,796 21,592 43,184 86,368 172,736 345,472 690,944 1,381,888

Collatz Trajectory (75 steps to reach 1)

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

1,381,888 690,944 345,472 172,736 86,368 43,184 21,592 10,796 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 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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