λ
Harmonic Matrix

2,820,710

2 × 5 × 282071
Deficient Even Composite

2,820,710 has digital root 2. The neighboring primes are 2820709 and 2820733; its proper-divisor sum differs from the starting integer by -564,124.

Prime Factor Structure

Factorization String 2 × 5 × 282071
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,077,296
Proper Divisor Sum 2,256,586
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2820709 ← → #2820733

Radix Representation

Decimal 2820710
Binary 1010110000101001100110 (22 bits)
Octal 0o12605146
Hexadecimal 0x2B0A66

Divisor Catalog (8)

1 2 5 10 282,071 564,142 1,410,355 2,820,710

Collatz Trajectory (76 steps to reach 1)

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

2,820,710 1,410,355 4,231,066 2,115,533 6,346,600 3,173,300 1,586,650 793,325 2,379,976 1,189,988 594,994 297,497 892,492 446,246 223,123 669,370 334,685 1,004,056 502,028 251,014 125,507 376,522 188,261 564,784 282,392 141,196 70,598 35,299 105,898 52,949 158,848 79,424 39,712 19,856 9,928 4,964 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14

More profiles

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