λ
Harmonic Matrix

2,792,912

24 × 173 × 1009
Deficient Even Composite

2,792,912 has digital root 5. The neighboring primes are 2792897 and 2792939; its proper-divisor sum differs from the starting integer by -137,884.

Prime Factor Structure

Factorization String 2^4 × 173 × 1009
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 5,447,940
Proper Divisor Sum 2,655,028
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2792897 ← → #2792939

Radix Representation

Decimal 2792912
Binary 1010101001110111010000 (22 bits)
Octal 0o12516720
Hexadecimal 0x2A9DD0

Divisor Catalog (20)

1 2 4 8 16 173 346 692 1,009 1,384 2,018 2,768 4,036 8,072 16,144 174,557 349,114 698,228 1,396,456 2,792,912

Collatz Trajectory (63 steps to reach 1)

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

2,792,912 1,396,456 698,228 349,114 174,557 523,672 261,836 130,918 65,459 196,378 98,189 294,568 147,284 73,642 36,821 110,464 55,232 27,616 13,808 6,904 3,452 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16

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