λ
Harmonic Matrix

3,064,688

24 × 112 × 1583
Abundant Even Composite

3,064,688 has digital root 8. The neighboring primes are 3064687 and 3064693; its proper-divisor sum differs from the starting integer by 401,456.

Prime Factor Structure

Factorization String 2^4 × 11^2 × 1583
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 6,530,832
Proper Divisor Sum 3,466,144
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3064687 ← → #3064693

Radix Representation

Decimal 3064688
Binary 1011101100001101110000 (22 bits)
Octal 0o13541560
Hexadecimal 0x2EC370

Divisor Catalog (30)

1 2 4 8 11 16 22 44 88 121 176 242 484 968 1,583 1,936 3,166 6,332 12,664 17,413 25,328 34,826 69,652 139,304 191,543 278,608 383,086 766,172 1,532,344 3,064,688

Collatz Trajectory (102 steps to reach 1)

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

3,064,688 1,532,344 766,172 383,086 191,543 574,630 287,315 861,946 430,973 1,292,920 646,460 323,230 161,615 484,846 242,423 727,270 363,635 1,090,906 545,453 1,636,360 818,180 409,090 204,545 613,636 306,818 153,409 460,228 230,114 115,057 345,172 172,586 86,293 258,880 129,440 64,720 32,360 16,180 8,090 4,045 12,136 6,068 3,034 1,517 4,552 2,276 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542

More profiles

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