λ
Harmonic Matrix

2,115,016

23 × 241 × 1097
Deficient Even Composite

2,115,016 has digital root 7. The neighboring primes are 2115013 and 2115017; its proper-divisor sum differs from the starting integer by -244,292.

Prime Factor Structure

Factorization String 2^3 × 241 × 1097
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,985,740
Proper Divisor Sum 1,870,724
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #2115013 ← → #2115017

Radix Representation

Decimal 2115016
Binary 1000000100010111001000 (22 bits)
Octal 0o10042710
Hexadecimal 0x2045C8

Divisor Catalog (16)

1 2 4 8 241 482 964 1,097 1,928 2,194 4,388 8,776 264,377 528,754 1,057,508 2,115,016

Collatz Trajectory (104 steps to reach 1)

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

2,115,016 1,057,508 528,754 264,377 793,132 396,566 198,283 594,850 297,425 892,276 446,138 223,069 669,208 334,604 167,302 83,651 250,954 125,477 376,432 188,216 94,108 47,054 23,527 70,582 35,291 105,874 52,937 158,812 79,406 39,703 119,110 59,555 178,666 89,333 268,000 134,000 67,000 33,500 16,750 8,375 25,126 12,563 37,690 18,845 56,536 28,268 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512

More profiles

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