λ
Harmonic Matrix

1,374,135

3 × 5 × 7 × 23 × 569
Deficient Odd Composite

1,374,135 has digital root 6. The neighboring primes are 1374133 and 1374157; its proper-divisor sum differs from the starting integer by -121,710.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 23 × 569
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,626,560
Proper Divisor Sum 1,252,425
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1374133 ← → #1374157

Radix Representation

Decimal 1374135
Binary 101001111011110110111 (21 bits)
Octal 0o5173667
Hexadecimal 0x14F7B7

Divisor Catalog (32)

1 3 5 7 15 21 23 35 69 105 115 161 345 483 569 805 1,707 2,415 2,845 3,983 8,535 11,949 13,087 19,915 39,261 59,745 65,435 91,609 196,305 274,827 458,045 1,374,135

Collatz Trajectory (106 steps to reach 1)

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

1,374,135 4,122,406 2,061,203 6,183,610 3,091,805 9,275,416 4,637,708 2,318,854 1,159,427 3,478,282 1,739,141 5,217,424 2,608,712 1,304,356 652,178 326,089 978,268 489,134 244,567 733,702 366,851 1,100,554 550,277 1,650,832 825,416 412,708 206,354 103,177 309,532 154,766 77,383 232,150 116,075 348,226 174,113 522,340 261,170 130,585 391,756 195,878 97,939 293,818 146,909 440,728 220,364 110,182 55,091 165,274 82,637 247,912 123,956 61,978 30,989 92,968 46,484 23,242 11,621 34,864 17,432 8,716

More profiles

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