λ
Harmonic Matrix

1,708,065

32 × 5 × 37957
Deficient Odd Composite

1,708,065 has digital root 9. The neighboring primes are 1708051 and 1708067; its proper-divisor sum differs from the starting integer by -455,406.

Prime Factor Structure

Factorization String 3^2 × 5 × 37957
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,960,724
Proper Divisor Sum 1,252,659
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1708051 ← → #1708067

Radix Representation

Decimal 1708065
Binary 110100001000000100001 (21 bits)
Octal 0o6410041
Hexadecimal 0x1A1021

Divisor Catalog (12)

1 3 5 9 15 45 37,957 113,871 189,785 341,613 569,355 1,708,065

Collatz Trajectory (132 steps to reach 1)

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

1,708,065 5,124,196 2,562,098 1,281,049 3,843,148 1,921,574 960,787 2,882,362 1,441,181 4,323,544 2,161,772 1,080,886 540,443 1,621,330 810,665 2,431,996 1,215,998 607,999 1,823,998 911,999 2,735,998 1,367,999 4,103,998 2,051,999 6,155,998 3,077,999 9,233,998 4,616,999 13,850,998 6,925,499 20,776,498 10,388,249 31,164,748 15,582,374 7,791,187 23,373,562 11,686,781 35,060,344 17,530,172 8,765,086 4,382,543 13,147,630 6,573,815 19,721,446 9,860,723 29,582,170 14,791,085 44,373,256 22,186,628 11,093,314 5,546,657 16,639,972 8,319,986 4,159,993 12,479,980 6,239,990 3,119,995 9,359,986 4,679,993 14,039,980

More profiles

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