λ
Harmonic Matrix

5,916,349

5916349
Deficient Odd Prime

5,916,349 has digital root 1. The neighboring primes are 5916311 and 5916367; its proper-divisor sum differs from the starting integer by -5,916,348.

Prime Factor Structure

Factorization String 5916349
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,916,350
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5916311 ← → #5916367

Radix Representation

Decimal 5916349
Binary 10110100100011010111101 (23 bits)
Octal 0o26443275
Hexadecimal 0x5A46BD

Divisor Catalog (2)

Collatz Trajectory (183 steps to reach 1)

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

5,916,349 17,749,048 8,874,524 4,437,262 2,218,631 6,655,894 3,327,947 9,983,842 4,991,921 14,975,764 7,487,882 3,743,941 11,231,824 5,615,912 2,807,956 1,403,978 701,989 2,105,968 1,052,984 526,492 263,246 131,623 394,870 197,435 592,306 296,153 888,460 444,230 222,115 666,346 333,173 999,520 499,760 249,880 124,940 62,470 31,235 93,706 46,853 140,560 70,280 35,140 17,570 8,785 26,356 13,178 6,589 19,768 9,884 4,942 2,471 7,414 3,707 11,122 5,561 16,684 8,342 4,171 12,514 6,257

More profiles

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