λ
Harmonic Matrix

3,036,222

2 × 32 × 7 × 24097
Abundant Even Composite

3,036,222 has digital root 9. The neighboring primes are 3036221 and 3036269; its proper-divisor sum differs from the starting integer by 1,446,132.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 24097
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,518,576
Proper Divisor Sum 4,482,354
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3036221 ← → #3036269

Radix Representation

Decimal 3036222
Binary 1011100101010000111110 (22 bits)
Octal 0o13452076
Hexadecimal 0x2E543E

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 24,097 48,194 72,291 144,582 168,679 216,873 337,358 433,746 506,037 1,012,074 1,518,111 3,036,222

Collatz Trajectory (164 steps to reach 1)

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

3,036,222 1,518,111 4,554,334 2,277,167 6,831,502 3,415,751 10,247,254 5,123,627 15,370,882 7,685,441 23,056,324 11,528,162 5,764,081 17,292,244 8,646,122 4,323,061 12,969,184 6,484,592 3,242,296 1,621,148 810,574 405,287 1,215,862 607,931 1,823,794 911,897 2,735,692 1,367,846 683,923 2,051,770 1,025,885 3,077,656 1,538,828 769,414 384,707 1,154,122 577,061 1,731,184 865,592 432,796 216,398 108,199 324,598 162,299 486,898 243,449 730,348 365,174 182,587 547,762 273,881 821,644 410,822 205,411 616,234 308,117 924,352 462,176 231,088 115,544

More profiles

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