λ
Harmonic Matrix

536,457

3 × 178819
Deficient Odd Composite

536,457 has digital root 3. The neighboring primes are 536453 and 536461; its proper-divisor sum differs from the starting integer by -357,634.

Prime Factor Structure

Factorization String 3 × 178819
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 715,280
Proper Divisor Sum 178,823
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #536453 ← → #536461

Radix Representation

Decimal 536457
Binary 10000010111110001001 (20 bits)
Octal 0o2027611
Hexadecimal 0x82F89

Divisor Catalog (4)

1 3 178,819 536,457

Collatz Trajectory (164 steps to reach 1)

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

536,457 1,609,372 804,686 402,343 1,207,030 603,515 1,810,546 905,273 2,715,820 1,357,910 678,955 2,036,866 1,018,433 3,055,300 1,527,650 763,825 2,291,476 1,145,738 572,869 1,718,608 859,304 429,652 214,826 107,413 322,240 161,120 80,560 40,280 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568

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