λ
Harmonic Matrix

4,920,379

4920379
Deficient Odd Prime

4,920,379 has digital root 7. The neighboring primes are 4920347 and 4920389; its proper-divisor sum differs from the starting integer by -4,920,378.

Prime Factor Structure

Factorization String 4920379
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,920,380
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4920347 ← → #4920389

Radix Representation

Decimal 4920379
Binary 10010110001010000111011 (23 bits)
Octal 0o22612073
Hexadecimal 0x4B143B

Divisor Catalog (2)

Collatz Trajectory (237 steps to reach 1)

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

4,920,379 14,761,138 7,380,569 22,141,708 11,070,854 5,535,427 16,606,282 8,303,141 24,909,424 12,454,712 6,227,356 3,113,678 1,556,839 4,670,518 2,335,259 7,005,778 3,502,889 10,508,668 5,254,334 2,627,167 7,881,502 3,940,751 11,822,254 5,911,127 17,733,382 8,866,691 26,600,074 13,300,037 39,900,112 19,950,056 9,975,028 4,987,514 2,493,757 7,481,272 3,740,636 1,870,318 935,159 2,805,478 1,402,739 4,208,218 2,104,109 6,312,328 3,156,164 1,578,082 789,041 2,367,124 1,183,562 591,781 1,775,344 887,672 443,836 221,918 110,959 332,878 166,439 499,318 249,659 748,978 374,489 1,123,468

More profiles

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