λ
Harmonic Matrix

2,072,360

23 × 5 × 103 × 503
Abundant Even Composite

2,072,360 has digital root 2. The neighboring primes are 2072327 and 2072363; its proper-divisor sum differs from the starting integer by 572,720.

Prime Factor Structure

Factorization String 2^3 × 5 × 103 × 503
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,717,440
Proper Divisor Sum 2,645,080
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2072327 ← → #2072363

Radix Representation

Decimal 2072360
Binary 111111001111100101000 (21 bits)
Octal 0o7717450
Hexadecimal 0x1F9F28

Divisor Catalog (32)

1 2 4 5 8 10 20 40 103 206 412 503 515 824 1,006 1,030 2,012 2,060 2,515 4,024 4,120 5,030 10,060 20,120 51,809 103,618 207,236 259,045 414,472 518,090 1,036,180 2,072,360

Collatz Trajectory (60 steps to reach 1)

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

2,072,360 1,036,180 518,090 259,045 777,136 388,568 194,284 97,142 48,571 145,714 72,857 218,572 109,286 54,643 163,930 81,965 245,896 122,948 61,474 30,737 92,212 46,106 23,053 69,160 34,580 17,290 8,645 25,936 12,968 6,484 3,242 1,621 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

More profiles

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