λ
Harmonic Matrix

1,410,812

22 × 132 × 2087
Deficient Even Composite

1,410,812 has digital root 8. The neighboring primes are 1410811 and 1410823; its proper-divisor sum differs from the starting integer by -146,896.

Prime Factor Structure

Factorization String 2^2 × 13^2 × 2087
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 2,674,728
Proper Divisor Sum 1,263,916
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1410811 ← → #1410823

Radix Representation

Decimal 1410812
Binary 101011000011011111100 (21 bits)
Octal 0o5303374
Hexadecimal 0x1586FC

Divisor Catalog (18)

1 2 4 13 26 52 169 338 676 2,087 4,174 8,348 27,131 54,262 108,524 352,703 705,406 1,410,812

Collatz Trajectory (106 steps to reach 1)

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

1,410,812 705,406 352,703 1,058,110 529,055 1,587,166 793,583 2,380,750 1,190,375 3,571,126 1,785,563 5,356,690 2,678,345 8,035,036 4,017,518 2,008,759 6,026,278 3,013,139 9,039,418 4,519,709 13,559,128 6,779,564 3,389,782 1,694,891 5,084,674 2,542,337 7,627,012 3,813,506 1,906,753 5,720,260 2,860,130 1,430,065 4,290,196 2,145,098 1,072,549 3,217,648 1,608,824 804,412 402,206 201,103 603,310 301,655 904,966 452,483 1,357,450 678,725 2,036,176 1,018,088 509,044 254,522 127,261 381,784 190,892 95,446 47,723 143,170 71,585 214,756 107,378 53,689

More profiles

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