λ
Harmonic Matrix

5,431,213

107 × 193 × 263
Deficient Odd Composite

5,431,213 has digital root 1. The neighboring primes are 5431187 and 5431219; its proper-divisor sum differs from the starting integer by -5,331,098.

Prime Factor Structure

Factorization String 107 × 193 × 263
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,531,328
Proper Divisor Sum 100,115
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #5431187 ← → #5431219

Radix Representation

Decimal 5431213
Binary 10100101101111110101101 (23 bits)
Octal 0o24557655
Hexadecimal 0x52DFAD

Divisor Catalog (8)

1 107 193 263 20,651 28,141 50,759 5,431,213

Collatz Trajectory (139 steps to reach 1)

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

5,431,213 16,293,640 8,146,820 4,073,410 2,036,705 6,110,116 3,055,058 1,527,529 4,582,588 2,291,294 1,145,647 3,436,942 1,718,471 5,155,414 2,577,707 7,733,122 3,866,561 11,599,684 5,799,842 2,899,921 8,699,764 4,349,882 2,174,941 6,524,824 3,262,412 1,631,206 815,603 2,446,810 1,223,405 3,670,216 1,835,108 917,554 458,777 1,376,332 688,166 344,083 1,032,250 516,125 1,548,376 774,188 387,094 193,547 580,642 290,321 870,964 435,482 217,741 653,224 326,612 163,306 81,653 244,960 122,480 61,240 30,620 15,310 7,655 22,966 11,483 34,450

More profiles

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