λ
Harmonic Matrix

1,652,379

3 × 47 × 11719
Deficient Odd Composite

1,652,379 has digital root 6. The neighboring primes are 1652377 and 1652407; its proper-divisor sum differs from the starting integer by -1,054,518.

Prime Factor Structure

Factorization String 3 × 47 × 11719
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,250,240
Proper Divisor Sum 597,861
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1652377 ← → #1652407

Radix Representation

Decimal 1652379
Binary 110010011011010011011 (21 bits)
Octal 0o6233233
Hexadecimal 0x19369B

Divisor Catalog (8)

1 3 47 141 11,719 35,157 550,793 1,652,379

Collatz Trajectory (145 steps to reach 1)

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

1,652,379 4,957,138 2,478,569 7,435,708 3,717,854 1,858,927 5,576,782 2,788,391 8,365,174 4,182,587 12,547,762 6,273,881 18,821,644 9,410,822 4,705,411 14,116,234 7,058,117 21,174,352 10,587,176 5,293,588 2,646,794 1,323,397 3,970,192 1,985,096 992,548 496,274 248,137 744,412 372,206 186,103 558,310 279,155 837,466 418,733 1,256,200 628,100 314,050 157,025 471,076 235,538 117,769 353,308 176,654 88,327 264,982 132,491 397,474 198,737 596,212 298,106 149,053 447,160 223,580 111,790 55,895 167,686 83,843 251,530 125,765 377,296

More profiles

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