λ
Harmonic Matrix

3,127,841

3127841
Deficient Odd Prime

3,127,841 has digital root 8. The neighboring primes are 3127829 and 3127843; its proper-divisor sum differs from the starting integer by -3,127,840.

Prime Factor Structure

Factorization String 3127841
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,127,842
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3127829 ← → #3127843

Radix Representation

Decimal 3127841
Binary 1011111011101000100001 (22 bits)
Octal 0o13735041
Hexadecimal 0x2FBA21

Divisor Catalog (2)

Collatz Trajectory (133 steps to reach 1)

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

3,127,841 9,383,524 4,691,762 2,345,881 7,037,644 3,518,822 1,759,411 5,278,234 2,639,117 7,917,352 3,958,676 1,979,338 989,669 2,969,008 1,484,504 742,252 371,126 185,563 556,690 278,345 835,036 417,518 208,759 626,278 313,139 939,418 469,709 1,409,128 704,564 352,282 176,141 528,424 264,212 132,106 66,053 198,160 99,080 49,540 24,770 12,385 37,156 18,578 9,289 27,868 13,934 6,967 20,902 10,451 31,354 15,677 47,032 23,516 11,758 5,879 17,638 8,819 26,458 13,229 39,688 19,844

More profiles

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