λ
Harmonic Matrix

5,798,638

2 × 59 × 157 × 313
Deficient Even Composite

5,798,638 has digital root 1. The neighboring primes are 5798627 and 5798699; its proper-divisor sum differs from the starting integer by -2,667,116.

Prime Factor Structure

Factorization String 2 × 59 × 157 × 313
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,930,160
Proper Divisor Sum 3,131,522
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #5798627 ← → #5798699

Radix Representation

Decimal 5798638
Binary 10110000111101011101110 (23 bits)
Octal 0o26075356
Hexadecimal 0x587AEE

Divisor Catalog (16)

1 2 59 118 157 313 314 626 9,263 18,467 18,526 36,934 49,141 98,282 2,899,319 5,798,638

Collatz Trajectory (121 steps to reach 1)

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

5,798,638 2,899,319 8,697,958 4,348,979 13,046,938 6,523,469 19,570,408 9,785,204 4,892,602 2,446,301 7,338,904 3,669,452 1,834,726 917,363 2,752,090 1,376,045 4,128,136 2,064,068 1,032,034 516,017 1,548,052 774,026 387,013 1,161,040 580,520 290,260 145,130 72,565 217,696 108,848 54,424 27,212 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136

More profiles

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