λ
Harmonic Matrix

1,334,089

509 × 2621
Deficient Odd Composite

1,334,089 has digital root 1. The neighboring primes are 1334077 and 1334093; its proper-divisor sum differs from the starting integer by -1,330,958.

Prime Factor Structure

Factorization String 509 × 2621
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,337,220
Proper Divisor Sum 3,131
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1334077 ← → #1334093

Radix Representation

Decimal 1334089
Binary 101000101101101001001 (21 bits)
Octal 0o5055511
Hexadecimal 0x145B49

Divisor Catalog (4)

1 509 2,621 1,334,089

Collatz Trajectory (142 steps to reach 1)

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

1,334,089 4,002,268 2,001,134 1,000,567 3,001,702 1,500,851 4,502,554 2,251,277 6,753,832 3,376,916 1,688,458 844,229 2,532,688 1,266,344 633,172 316,586 158,293 474,880 237,440 118,720 59,360 29,680 14,840 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476

More profiles

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