λ
Harmonic Matrix

1,365,074

2 × 19 × 35923
Deficient Even Composite

1,365,074 has digital root 8. The neighboring primes are 1365071 and 1365079; its proper-divisor sum differs from the starting integer by -574,708.

Prime Factor Structure

Factorization String 2 × 19 × 35923
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,155,440
Proper Divisor Sum 790,366
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1365071 ← → #1365079

Radix Representation

Decimal 1365074
Binary 101001101010001010010 (21 bits)
Octal 0o5152122
Hexadecimal 0x14D452

Divisor Catalog (8)

1 2 19 38 35,923 71,846 682,537 1,365,074

Collatz Trajectory (106 steps to reach 1)

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

1,365,074 682,537 2,047,612 1,023,806 511,903 1,535,710 767,855 2,303,566 1,151,783 3,455,350 1,727,675 5,183,026 2,591,513 7,774,540 3,887,270 1,943,635 5,830,906 2,915,453 8,746,360 4,373,180 2,186,590 1,093,295 3,279,886 1,639,943 4,919,830 2,459,915 7,379,746 3,689,873 11,069,620 5,534,810 2,767,405 8,302,216 4,151,108 2,075,554 1,037,777 3,113,332 1,556,666 778,333 2,335,000 1,167,500 583,750 291,875 875,626 437,813 1,313,440 656,720 328,360 164,180 82,090 41,045 123,136 61,568 30,784 15,392 7,696 3,848 1,924 962 481 1,444

More profiles

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