λ
Harmonic Matrix

7,812,063

32 × 7 × 124001
Deficient Odd Composite

7,812,063 has digital root 9. The neighboring primes are 7812037 and 7812067; its proper-divisor sum differs from the starting integer by -2,727,918.

Prime Factor Structure

Factorization String 3^2 × 7 × 124001
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,896,208
Proper Divisor Sum 5,084,145
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7812037 ← → #7812067

Radix Representation

Decimal 7812063
Binary 11101110011001111011111 (23 bits)
Octal 0o35631737
Hexadecimal 0x7733DF

Divisor Catalog (12)

1 3 7 9 21 63 124,001 372,003 868,007 1,116,009 2,604,021 7,812,063

Collatz Trajectory (248 steps to reach 1)

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

7,812,063 23,436,190 11,718,095 35,154,286 17,577,143 52,731,430 26,365,715 79,097,146 39,548,573 118,645,720 59,322,860 29,661,430 14,830,715 44,492,146 22,246,073 66,738,220 33,369,110 16,684,555 50,053,666 25,026,833 75,080,500 37,540,250 18,770,125 56,310,376 28,155,188 14,077,594 7,038,797 21,116,392 10,558,196 5,279,098 2,639,549 7,918,648 3,959,324 1,979,662 989,831 2,969,494 1,484,747 4,454,242 2,227,121 6,681,364 3,340,682 1,670,341 5,011,024 2,505,512 1,252,756 626,378 313,189 939,568 469,784 234,892 117,446 58,723 176,170 88,085 264,256 132,128 66,064 33,032 16,516 8,258

More profiles

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