λ
Harmonic Matrix

8,609,046

2 × 3 × 1434841
Abundant Even Composite

8,609,046 has digital root 6. The neighboring primes are 8609023 and 8609063; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 1434841
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 17,218,104
Proper Divisor Sum 8,609,058
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8609023 ← → #8609063

Radix Representation

Decimal 8609046
Binary 100000110101110100010110 (24 bits)
Octal 0o40656426
Hexadecimal 0x835D16

Divisor Catalog (8)

1 2 3 6 1,434,841 2,869,682 4,304,523 8,609,046

Collatz Trajectory (243 steps to reach 1)

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

8,609,046 4,304,523 12,913,570 6,456,785 19,370,356 9,685,178 4,842,589 14,527,768 7,263,884 3,631,942 1,815,971 5,447,914 2,723,957 8,171,872 4,085,936 2,042,968 1,021,484 510,742 255,371 766,114 383,057 1,149,172 574,586 287,293 861,880 430,940 215,470 107,735 323,206 161,603 484,810 242,405 727,216 363,608 181,804 90,902 45,451 136,354 68,177 204,532 102,266 51,133 153,400 76,700 38,350 19,175 57,526 28,763 86,290 43,145 129,436 64,718 32,359 97,078 48,539 145,618 72,809 218,428 109,214 54,607

More profiles

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