λ
Harmonic Matrix

3,516,776

23 × 37 × 1092
Deficient Even Composite

3,516,776 has digital root 8. The neighboring primes are 3516749 and 3516787; its proper-divisor sum differs from the starting integer by -198,682.

Prime Factor Structure

Factorization String 2^3 × 37 × 109^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,834,870
Proper Divisor Sum 3,318,094
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3516749 ← → #3516787

Radix Representation

Decimal 3516776
Binary 1101011010100101101000 (22 bits)
Octal 0o15324550
Hexadecimal 0x35A968

Divisor Catalog (24)

1 2 4 8 37 74 109 148 218 296 436 872 4,033 8,066 11,881 16,132 23,762 32,264 47,524 95,048 439,597 879,194 1,758,388 3,516,776

Collatz Trajectory (102 steps to reach 1)

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

3,516,776 1,758,388 879,194 439,597 1,318,792 659,396 329,698 164,849 494,548 247,274 123,637 370,912 185,456 92,728 46,364 23,182 11,591 34,774 17,387 52,162 26,081 78,244 39,122 19,561 58,684 29,342 14,671 44,014 22,007 66,022 33,011 99,034 49,517 148,552 74,276 37,138 18,569 55,708 27,854 13,927 41,782 20,891 62,674 31,337 94,012 47,006 23,503 70,510 35,255 105,766 52,883 158,650 79,325 237,976 118,988 59,494 29,747 89,242 44,621 133,864

More profiles

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