λ
Harmonic Matrix

2,946,904

23 × 368363
Deficient Even Composite

2,946,904 has digital root 7. The neighboring primes are 2946901 and 2946907; its proper-divisor sum differs from the starting integer by -368,348.

Prime Factor Structure

Factorization String 2^3 × 368363
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,525,460
Proper Divisor Sum 2,578,556
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2946901 ← → #2946907

Radix Representation

Decimal 2946904
Binary 1011001111011101011000 (22 bits)
Octal 0o13173530
Hexadecimal 0x2CF758

Divisor Catalog (8)

1 2 4 8 368,363 736,726 1,473,452 2,946,904

Collatz Trajectory (76 steps to reach 1)

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

2,946,904 1,473,452 736,726 368,363 1,105,090 552,545 1,657,636 828,818 414,409 1,243,228 621,614 310,807 932,422 466,211 1,398,634 699,317 2,097,952 1,048,976 524,488 262,244 131,122 65,561 196,684 98,342 49,171 147,514 73,757 221,272 110,636 55,318 27,659 82,978 41,489 124,468 62,234 31,117 93,352 46,676 23,338 11,669 35,008 17,504 8,752 4,376 2,188 1,094 547 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88

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