λ
Harmonic Matrix

1,410,001

1021 × 1381
Deficient Odd Composite

1,410,001 has digital root 7. The neighboring primes are 1409999 and 1410007; its proper-divisor sum differs from the starting integer by -1,407,598.

Prime Factor Structure

Factorization String 1021 × 1381
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,412,404
Proper Divisor Sum 2,403
Digit Sum / Digital Root 7 (Root: 7)
Adjacent Primes #1409999 ← → #1410007

Radix Representation

Decimal 1410001
Binary 101011000001111010001 (21 bits)
Octal 0o5301721
Hexadecimal 0x1583D1

Divisor Catalog (4)

1 1,021 1,381 1,410,001

Collatz Trajectory (168 steps to reach 1)

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

1,410,001 4,230,004 2,115,002 1,057,501 3,172,504 1,586,252 793,126 396,563 1,189,690 594,845 1,784,536 892,268 446,134 223,067 669,202 334,601 1,003,804 501,902 250,951 752,854 376,427 1,129,282 564,641 1,693,924 846,962 423,481 1,270,444 635,222 317,611 952,834 476,417 1,429,252 714,626 357,313 1,071,940 535,970 267,985 803,956 401,978 200,989 602,968 301,484 150,742 75,371 226,114 113,057 339,172 169,586 84,793 254,380 127,190 63,595 190,786 95,393 286,180 143,090 71,545 214,636 107,318 53,659

More profiles

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