λ
Harmonic Matrix

871,541

11 × 79231
Deficient Odd Composite

871,541 has digital root 8. The neighboring primes are 871531 and 871553; its proper-divisor sum differs from the starting integer by -792,298.

Prime Factor Structure

Factorization String 11 × 79231
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 950,784
Proper Divisor Sum 79,243
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #871531 ← → #871553

Radix Representation

Decimal 871541
Binary 11010100110001110101 (20 bits)
Octal 0o3246165
Hexadecimal 0xD4C75

Divisor Catalog (4)

1 11 79,231 871,541

Collatz Trajectory (188 steps to reach 1)

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

871,541 2,614,624 1,307,312 653,656 326,828 163,414 81,707 245,122 122,561 367,684 183,842 91,921 275,764 137,882 68,941 206,824 103,412 51,706 25,853 77,560 38,780 19,390 9,695 29,086 14,543 43,630 21,815 65,446 32,723 98,170 49,085 147,256 73,628 36,814 18,407 55,222 27,611 82,834 41,417 124,252 62,126 31,063 93,190 46,595 139,786 69,893 209,680 104,840 52,420 26,210 13,105 39,316 19,658 9,829 29,488 14,744 7,372 3,686 1,843 5,530

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