λ
Harmonic Matrix

1,817,359

1117 × 1627
Deficient Odd Composite

1,817,359 has digital root 7. The neighboring primes are 1817341 and 1817383; its proper-divisor sum differs from the starting integer by -1,814,614.

Prime Factor Structure

Factorization String 1117 × 1627
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,820,104
Proper Divisor Sum 2,745
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #1817341 ← → #1817383

Radix Representation

Decimal 1817359
Binary 110111011101100001111 (21 bits)
Octal 0o6735417
Hexadecimal 0x1BBB0F

Divisor Catalog (4)

1 1,117 1,627 1,817,359

Collatz Trajectory (202 steps to reach 1)

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

1,817,359 5,452,078 2,726,039 8,178,118 4,089,059 12,267,178 6,133,589 18,400,768 9,200,384 4,600,192 2,300,096 1,150,048 575,024 287,512 143,756 71,878 35,939 107,818 53,909 161,728 80,864 40,432 20,216 10,108 5,054 2,527 7,582 3,791 11,374 5,687 17,062 8,531 25,594 12,797 38,392 19,196 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503 61,510 30,755 92,266 46,133 138,400 69,200

More profiles

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