λ
Harmonic Matrix

8,437,159

19 × 23 × 43 × 449
Deficient Odd Composite

8,437,159 has digital root 1. The neighboring primes are 8437153 and 8437171; its proper-divisor sum differs from the starting integer by -7,370,318.

Prime Factor Structure

Factorization String 19 × 23 × 43 × 449
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,504,000
Proper Divisor Sum 1,066,841
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8437153 ← → #8437171

Radix Representation

Decimal 8437159
Binary 100000001011110110100111 (24 bits)
Octal 0o40136647
Hexadecimal 0x80BDA7

Divisor Catalog (16)

1 19 23 43 437 449 817 989 8,531 10,327 18,791 19,307 196,213 366,833 444,061 8,437,159

Collatz Trajectory (274 steps to reach 1)

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

8,437,159 25,311,478 12,655,739 37,967,218 18,983,609 56,950,828 28,475,414 14,237,707 42,713,122 21,356,561 64,069,684 32,034,842 16,017,421 48,052,264 24,026,132 12,013,066 6,006,533 18,019,600 9,009,800 4,504,900 2,252,450 1,126,225 3,378,676 1,689,338 844,669 2,534,008 1,267,004 633,502 316,751 950,254 475,127 1,425,382 712,691 2,138,074 1,069,037 3,207,112 1,603,556 801,778 400,889 1,202,668 601,334 300,667 902,002 451,001 1,353,004 676,502 338,251 1,014,754 507,377 1,522,132 761,066 380,533 1,141,600 570,800 285,400 142,700 71,350 35,675 107,026 53,513

More profiles

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