λ
Harmonic Matrix

6,702,108

22 × 3 × 7 × 23 × 3469
Abundant Even Composite

6,702,108 has digital root 6. The neighboring primes are 6702089 and 6702119; its proper-divisor sum differs from the starting integer by 5,250,504.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 23 × 3469
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,654,720
Proper Divisor Sum 11,952,612
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6702089 ← → #6702119

Radix Representation

Decimal 6702108
Binary 11001100100010000011100 (23 bits)
Octal 0o31442034
Hexadecimal 0x66441C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1,932 3,469 6,938 10,407 13,876 20,814 24,283 41,628 48,566 72,849 79,787 97,132 145,698 159,574 239,361 291,396 319,148 478,722 558,509 957,444 1,117,018 1,675,527 2,234,036 3,351,054 6,702,108

Collatz Trajectory (191 steps to reach 1)

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

6,702,108 3,351,054 1,675,527 5,026,582 2,513,291 7,539,874 3,769,937 11,309,812 5,654,906 2,827,453 8,482,360 4,241,180 2,120,590 1,060,295 3,180,886 1,590,443 4,771,330 2,385,665 7,156,996 3,578,498 1,789,249 5,367,748 2,683,874 1,341,937 4,025,812 2,012,906 1,006,453 3,019,360 1,509,680 754,840 377,420 188,710 94,355 283,066 141,533 424,600 212,300 106,150 53,075 159,226 79,613 238,840 119,420 59,710 29,855 89,566 44,783 134,350 67,175 201,526 100,763 302,290 151,145 453,436 226,718 113,359 340,078 170,039 510,118 255,059

More profiles

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