λ
Harmonic Matrix

2,227,014

2 × 34 × 59 × 233
Abundant Even Composite

2,227,014 has digital root 9. The neighboring primes are 2227003 and 2227019; its proper-divisor sum differs from the starting integer by 642,492.

Prime Factor Structure

Factorization String 2 × 3^4 × 59 × 233
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 5,096,520
Proper Divisor Sum 2,869,506
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2227003 ← → #2227019

Radix Representation

Decimal 2227014
Binary 1000011111101101000110 (22 bits)
Octal 0o10375506
Hexadecimal 0x21FB46

Divisor Catalog (40)

1 2 3 6 9 18 27 54 59 81 118 162 177 233 354 466 531 699 1,062 1,398 1,593 2,097 3,186 4,194 4,779 6,291 9,558 12,582 13,747 18,873 27,494 37,746 41,241 82,482 123,723 247,446 371,169 742,338 1,113,507 2,227,014

Collatz Trajectory (91 steps to reach 1)

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

2,227,014 1,113,507 3,340,522 1,670,261 5,010,784 2,505,392 1,252,696 626,348 313,174 156,587 469,762 234,881 704,644 352,322 176,161 528,484 264,242 132,121 396,364 198,182 99,091 297,274 148,637 445,912 222,956 111,478 55,739 167,218 83,609 250,828 125,414 62,707 188,122 94,061 282,184 141,092 70,546 35,273 105,820 52,910 26,455 79,366 39,683 119,050 59,525 178,576 89,288 44,644 22,322 11,161 33,484 16,742 8,371 25,114 12,557 37,672 18,836 9,418 4,709 14,128

More profiles

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