λ
Harmonic Matrix

8,439,826

2 × 53 × 79621
Deficient Even Composite

8,439,826 has digital root 4. The neighboring primes are 8439817 and 8439859; its proper-divisor sum differs from the starting integer by -3,980,888.

Prime Factor Structure

Factorization String 2 × 53 × 79621
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,898,764
Proper Divisor Sum 4,458,938
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8439817 ← → #8439859

Radix Representation

Decimal 8439826
Binary 100000001100100000010010 (24 bits)
Octal 0o40144022
Hexadecimal 0x80C812

Divisor Catalog (8)

1 2 53 106 79,621 159,242 4,219,913 8,439,826

Collatz Trajectory (181 steps to reach 1)

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

8,439,826 4,219,913 12,659,740 6,329,870 3,164,935 9,494,806 4,747,403 14,242,210 7,121,105 21,363,316 10,681,658 5,340,829 16,022,488 8,011,244 4,005,622 2,002,811 6,008,434 3,004,217 9,012,652 4,506,326 2,253,163 6,759,490 3,379,745 10,139,236 5,069,618 2,534,809 7,604,428 3,802,214 1,901,107 5,703,322 2,851,661 8,554,984 4,277,492 2,138,746 1,069,373 3,208,120 1,604,060 802,030 401,015 1,203,046 601,523 1,804,570 902,285 2,706,856 1,353,428 676,714 338,357 1,015,072 507,536 253,768 126,884 63,442 31,721 95,164 47,582 23,791 71,374 35,687 107,062 53,531

More profiles

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