λ
Harmonic Matrix

8,696,441

13 × 557 × 1201
Deficient Odd Composite

8,696,441 has digital root 2. The neighboring primes are 8696437 and 8696459; its proper-divisor sum differs from the starting integer by -8,002,858.

Prime Factor Structure

Factorization String 13 × 557 × 1201
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,390,024
Proper Divisor Sum 693,583
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8696437 ← → #8696459

Radix Representation

Decimal 8696441
Binary 100001001011001001111001 (24 bits)
Octal 0o41131171
Hexadecimal 0x84B279

Divisor Catalog (8)

1 13 557 1,201 7,241 15,613 668,957 8,696,441

Collatz Trajectory (150 steps to reach 1)

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

8,696,441 26,089,324 13,044,662 6,522,331 19,566,994 9,783,497 29,350,492 14,675,246 7,337,623 22,012,870 11,006,435 33,019,306 16,509,653 49,528,960 24,764,480 12,382,240 6,191,120 3,095,560 1,547,780 773,890 386,945 1,160,836 580,418 290,209 870,628 435,314 217,657 652,972 326,486 163,243 489,730 244,865 734,596 367,298 183,649 550,948 275,474 137,737 413,212 206,606 103,303 309,910 154,955 464,866 232,433 697,300 348,650 174,325 522,976 261,488 130,744 65,372 32,686 16,343 49,030 24,515 73,546 36,773 110,320 55,160

More profiles

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