λ
Harmonic Matrix

8,471,249

79 × 157 × 683
Deficient Odd Composite

8,471,249 has digital root 8. The neighboring primes are 8471227 and 8471263; its proper-divisor sum differs from the starting integer by -8,296,738.

Prime Factor Structure

Factorization String 79 × 157 × 683
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,645,760
Proper Divisor Sum 174,511
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8471227 ← → #8471263

Radix Representation

Decimal 8471249
Binary 100000010100001011010001 (24 bits)
Octal 0o40241321
Hexadecimal 0x8142D1

Divisor Catalog (8)

1 79 157 683 12,403 53,957 107,231 8,471,249

Collatz Trajectory (274 steps to reach 1)

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

8,471,249 25,413,748 12,706,874 6,353,437 19,060,312 9,530,156 4,765,078 2,382,539 7,147,618 3,573,809 10,721,428 5,360,714 2,680,357 8,041,072 4,020,536 2,010,268 1,005,134 502,567 1,507,702 753,851 2,261,554 1,130,777 3,392,332 1,696,166 848,083 2,544,250 1,272,125 3,816,376 1,908,188 954,094 477,047 1,431,142 715,571 2,146,714 1,073,357 3,220,072 1,610,036 805,018 402,509 1,207,528 603,764 301,882 150,941 452,824 226,412 113,206 56,603 169,810 84,905 254,716 127,358 63,679 191,038 95,519 286,558 143,279 429,838 214,919 644,758 322,379

More profiles

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