λ
Harmonic Matrix

6,238,470

2 × 3 × 5 × 7 × 61 × 487
Abundant Even Composite

6,238,470 has digital root 3. The neighboring primes are 6238469 and 6238489; its proper-divisor sum differs from the starting integer by 4,950,516.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 61 × 487
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 17,427,456
Proper Divisor Sum 11,188,986
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6238469 ← → #6238489

Radix Representation

Decimal 6238470
Binary 10111110011000100000110 (23 bits)
Octal 0o27630406
Hexadecimal 0x5F3106

Divisor Catalog (60 of 64)

1 2 3 5 6 7 10 14 15 21 30 35 42 61 70 105 122 183 210 305 366 427 487 610 854 915 974 1,281 1,461 1,830 2,135 2,435 2,562 2,922 3,409 4,270 4,870 6,405 6,818 7,305 10,227 12,810 14,610 17,045 20,454 29,707 34,090 51,135 59,414 89,121 102,270 148,535 178,242 207,949 297,070 415,898 445,605 623,847 891,210 1,039,745

Collatz Trajectory (183 steps to reach 1)

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

6,238,470 3,119,235 9,357,706 4,678,853 14,036,560 7,018,280 3,509,140 1,754,570 877,285 2,631,856 1,315,928 657,964 328,982 164,491 493,474 246,737 740,212 370,106 185,053 555,160 277,580 138,790 69,395 208,186 104,093 312,280 156,140 78,070 39,035 117,106 58,553 175,660 87,830 43,915 131,746 65,873 197,620 98,810 49,405 148,216 74,108 37,054 18,527 55,582 27,791 83,374 41,687 125,062 62,531 187,594 93,797 281,392 140,696 70,348 35,174 17,587 52,762 26,381 79,144 39,572

More profiles

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