λ
Harmonic Matrix

8,417,234

2 × 7 × 601231
Deficient Even Composite

8,417,234 has digital root 2. The neighboring primes are 8417231 and 8417237; its proper-divisor sum differs from the starting integer by -2,404,900.

Prime Factor Structure

Factorization String 2 × 7 × 601231
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,429,568
Proper Divisor Sum 6,012,334
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8417231 ← → #8417237

Radix Representation

Decimal 8417234
Binary 100000000110111111010010 (24 bits)
Octal 0o40067722
Hexadecimal 0x806FD2

Divisor Catalog (8)

1 2 7 14 601,231 1,202,462 4,208,617 8,417,234

Collatz Trajectory (93 steps to reach 1)

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

8,417,234 4,208,617 12,625,852 6,312,926 3,156,463 9,469,390 4,734,695 14,204,086 7,102,043 21,306,130 10,653,065 31,959,196 15,979,598 7,989,799 23,969,398 11,984,699 35,954,098 17,977,049 53,931,148 26,965,574 13,482,787 40,448,362 20,224,181 60,672,544 30,336,272 15,168,136 7,584,068 3,792,034 1,896,017 5,688,052 2,844,026 1,422,013 4,266,040 2,133,020 1,066,510 533,255 1,599,766 799,883 2,399,650 1,199,825 3,599,476 1,799,738 899,869 2,699,608 1,349,804 674,902 337,451 1,012,354 506,177 1,518,532 759,266 379,633 1,138,900 569,450 284,725 854,176 427,088 213,544 106,772 53,386

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