λ
Harmonic Matrix

2,878,850

2 × 52 × 13 × 43 × 103
Abundant Even Composite

2,878,850 has digital root 2. The neighboring primes are 2878849 and 2878853; its proper-divisor sum differs from the starting integer by 200,252.

Prime Factor Structure

Factorization String 2 × 5^2 × 13 × 43 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,957,952
Proper Divisor Sum 3,079,102
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2878849 ← → #2878853

Radix Representation

Decimal 2878850
Binary 1010111110110110000010 (22 bits)
Octal 0o12766602
Hexadecimal 0x2BED82

Divisor Catalog (48)

1 2 5 10 13 25 26 43 50 65 86 103 130 206 215 325 430 515 559 650 1,030 1,075 1,118 1,339 2,150 2,575 2,678 2,795 4,429 5,150 5,590 6,695 8,858 13,390 13,975 22,145 27,950 33,475 44,290 57,577 66,950 110,725 115,154 221,450 287,885 575,770 1,439,425 2,878,850

Collatz Trajectory (76 steps to reach 1)

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

2,878,850 1,439,425 4,318,276 2,159,138 1,079,569 3,238,708 1,619,354 809,677 2,429,032 1,214,516 607,258 303,629 910,888 455,444 227,722 113,861 341,584 170,792 85,396 42,698 21,349 64,048 32,024 16,012 8,006 4,003 12,010 6,005 18,016 9,008 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88

More profiles

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