λ
Harmonic Matrix

5,780,657

29 × 53 × 3761
Deficient Odd Composite

5,780,657 has digital root 2. The neighboring primes are 5780633 and 5780681; its proper-divisor sum differs from the starting integer by -5,466,874.

Prime Factor Structure

Factorization String 29 × 53 × 3761
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,094,440
Proper Divisor Sum 313,783
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5780633 ← → #5780681

Radix Representation

Decimal 5780657
Binary 10110000011010010110001 (23 bits)
Octal 0o26032261
Hexadecimal 0x5834B1

Divisor Catalog (8)

1 29 53 1,537 3,761 109,069 199,333 5,780,657

Collatz Trajectory (214 steps to reach 1)

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

5,780,657 17,341,972 8,670,986 4,335,493 13,006,480 6,503,240 3,251,620 1,625,810 812,905 2,438,716 1,219,358 609,679 1,829,038 914,519 2,743,558 1,371,779 4,115,338 2,057,669 6,173,008 3,086,504 1,543,252 771,626 385,813 1,157,440 578,720 289,360 144,680 72,340 36,170 18,085 54,256 27,128 13,564 6,782 3,391 10,174 5,087 15,262 7,631 22,894 11,447 34,342 17,171 51,514 25,757 77,272 38,636 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113

More profiles

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