λ
Harmonic Matrix

6,030,973

13 × 463921
Deficient Odd Composite

6,030,973 has digital root 1. The neighboring primes are 6030949 and 6031001; its proper-divisor sum differs from the starting integer by -5,567,038.

Prime Factor Structure

Factorization String 13 × 463921
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,494,908
Proper Divisor Sum 463,935
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6030949 ← → #6031001

Radix Representation

Decimal 6030973
Binary 10111000000011001111101 (23 bits)
Octal 0o27003175
Hexadecimal 0x5C067D

Divisor Catalog (4)

1 13 463,921 6,030,973

Collatz Trajectory (64 steps to reach 1)

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

6,030,973 18,092,920 9,046,460 4,523,230 2,261,615 6,784,846 3,392,423 10,177,270 5,088,635 15,265,906 7,632,953 22,898,860 11,449,430 5,724,715 17,174,146 8,587,073 25,761,220 12,880,610 6,440,305 19,320,916 9,660,458 4,830,229 14,490,688 7,245,344 3,622,672 1,811,336 905,668 452,834 226,417 679,252 339,626 169,813 509,440 254,720 127,360 63,680 31,840 15,920 7,960 3,980 1,990 995 2,986 1,493 4,480 2,240 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5

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