λ
Harmonic Matrix

2,215,990

2 × 5 × 7 × 31657
Abundant Even Composite

2,215,990 has digital root 1. The neighboring primes are 2215987 and 2215991; its proper-divisor sum differs from the starting integer by 126,772.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 31657
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,558,752
Proper Divisor Sum 2,342,762
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2215987 ← → #2215991

Radix Representation

Decimal 2215990
Binary 1000011101000000110110 (22 bits)
Octal 0o10350066
Hexadecimal 0x21D036

Divisor Catalog (16)

1 2 5 7 10 14 35 70 31,657 63,314 158,285 221,599 316,570 443,198 1,107,995 2,215,990

Collatz Trajectory (241 steps to reach 1)

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

2,215,990 1,107,995 3,323,986 1,661,993 4,985,980 2,492,990 1,246,495 3,739,486 1,869,743 5,609,230 2,804,615 8,413,846 4,206,923 12,620,770 6,310,385 18,931,156 9,465,578 4,732,789 14,198,368 7,099,184 3,549,592 1,774,796 887,398 443,699 1,331,098 665,549 1,996,648 998,324 499,162 249,581 748,744 374,372 187,186 93,593 280,780 140,390 70,195 210,586 105,293 315,880 157,940 78,970 39,485 118,456 59,228 29,614 14,807 44,422 22,211 66,634 33,317 99,952 49,976 24,988 12,494 6,247 18,742 9,371 28,114 14,057

More profiles

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