λ
Harmonic Matrix

1,475,839

29 × 50891
Deficient Odd Composite

1,475,839 has digital root 1. The neighboring primes are 1475833 and 1475843; its proper-divisor sum differs from the starting integer by -1,424,918.

Prime Factor Structure

Factorization String 29 × 50891
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,526,760
Proper Divisor Sum 50,921
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #1475833 ← → #1475843

Radix Representation

Decimal 1475839
Binary 101101000010011111111 (21 bits)
Octal 0o5502377
Hexadecimal 0x1684FF

Divisor Catalog (4)

1 29 50,891 1,475,839

Collatz Trajectory (106 steps to reach 1)

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

1,475,839 4,427,518 2,213,759 6,641,278 3,320,639 9,961,918 4,980,959 14,942,878 7,471,439 22,414,318 11,207,159 33,621,478 16,810,739 50,432,218 25,216,109 75,648,328 37,824,164 18,912,082 9,456,041 28,368,124 14,184,062 7,092,031 21,276,094 10,638,047 31,914,142 15,957,071 47,871,214 23,935,607 71,806,822 35,903,411 107,710,234 53,855,117 161,565,352 80,782,676 40,391,338 20,195,669 60,587,008 30,293,504 15,146,752 7,573,376 3,786,688 1,893,344 946,672 473,336 236,668 118,334 59,167 177,502 88,751 266,254 133,127 399,382 199,691 599,074 299,537 898,612 449,306 224,653 673,960 336,980

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