λ
Harmonic Matrix

8,696,447

641 × 13567
Deficient Odd Composite

8,696,447 has digital root 8. The neighboring primes are 8696437 and 8696459; its proper-divisor sum differs from the starting integer by -8,682,238.

Prime Factor Structure

Factorization String 641 × 13567
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,710,656
Proper Divisor Sum 14,209
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #8696437 ← → #8696459

Radix Representation

Decimal 8696447
Binary 100001001011001001111111 (24 bits)
Octal 0o41131177
Hexadecimal 0x84B27F

Divisor Catalog (4)

1 641 13,567 8,696,447

Collatz Trajectory (181 steps to reach 1)

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

8,696,447 26,089,342 13,044,671 39,134,014 19,567,007 58,701,022 29,350,511 88,051,534 44,025,767 132,077,302 66,038,651 198,115,954 99,057,977 297,173,932 148,586,966 74,293,483 222,880,450 111,440,225 334,320,676 167,160,338 83,580,169 250,740,508 125,370,254 62,685,127 188,055,382 94,027,691 282,083,074 141,041,537 423,124,612 211,562,306 105,781,153 317,343,460 158,671,730 79,335,865 238,007,596 119,003,798 59,501,899 178,505,698 89,252,849 267,758,548 133,879,274 66,939,637 200,818,912 100,409,456 50,204,728 25,102,364 12,551,182 6,275,591 18,826,774 9,413,387 28,240,162 14,120,081 42,360,244 21,180,122 10,590,061 31,770,184 15,885,092 7,942,546 3,971,273 11,913,820

More profiles

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