λ
Harmonic Matrix

2,645,312

26 × 41333
Deficient Even Composite

2,645,312 has digital root 5. The neighboring primes are 2645311 and 2645329; its proper-divisor sum differs from the starting integer by -41,206.

Prime Factor Structure

Factorization String 2^6 × 41333
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 14
Divisor Sum (σ) 5,249,418
Proper Divisor Sum 2,604,106
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2645311 ← → #2645329

Radix Representation

Decimal 2645312
Binary 1010000101110101000000 (22 bits)
Octal 0o12056500
Hexadecimal 0x285D40

Divisor Catalog (14)

1 2 4 8 16 32 64 41,333 82,666 165,332 330,664 661,328 1,322,656 2,645,312

Collatz Trajectory (63 steps to reach 1)

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

2,645,312 1,322,656 661,328 330,664 165,332 82,666 41,333 124,000 62,000 31,000 15,500 7,750 3,875 11,626 5,813 17,440 8,720 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16

More profiles

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