λ
Harmonic Matrix

1,118,583

33 × 17 × 2437
Deficient Odd Composite

1,118,583 has digital root 9. The neighboring primes are 1118569 and 1118599; its proper-divisor sum differs from the starting integer by -481,806.

Prime Factor Structure

Factorization String 3^3 × 17 × 2437
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,755,360
Proper Divisor Sum 636,777
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1118569 ← → #1118599

Radix Representation

Decimal 1118583
Binary 100010001000101110111 (21 bits)
Octal 0o4210567
Hexadecimal 0x111177

Divisor Catalog (16)

1 3 9 17 27 51 153 459 2,437 7,311 21,933 41,429 65,799 124,287 372,861 1,118,583

Collatz Trajectory (160 steps to reach 1)

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

1,118,583 3,355,750 1,677,875 5,033,626 2,516,813 7,550,440 3,775,220 1,887,610 943,805 2,831,416 1,415,708 707,854 353,927 1,061,782 530,891 1,592,674 796,337 2,389,012 1,194,506 597,253 1,791,760 895,880 447,940 223,970 111,985 335,956 167,978 83,989 251,968 125,984 62,992 31,496 15,748 7,874 3,937 11,812 5,906 2,953 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604

More profiles

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