λ
Harmonic Matrix

3,249,015

3 × 5 × 7 × 11 × 29 × 97
Abundant Odd Composite

3,249,015 has digital root 6. The neighboring primes are 3249013 and 3249053; its proper-divisor sum differs from the starting integer by 275,730.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11 × 29 × 97
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 6,773,760
Proper Divisor Sum 3,524,745
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3249013 ← → #3249053

Radix Representation

Decimal 3249015
Binary 1100011001001101110111 (22 bits)
Octal 0o14311567
Hexadecimal 0x319377

Divisor Catalog (60 of 64)

1 3 5 7 11 15 21 29 33 35 55 77 87 97 105 145 165 203 231 291 319 385 435 485 609 679 957 1,015 1,067 1,155 1,455 1,595 2,037 2,233 2,813 3,045 3,201 3,395 4,785 5,335 6,699 7,469 8,439 10,185 11,165 14,065 16,005 19,691 22,407 30,943 33,495 37,345 42,195 59,073 92,829 98,455 112,035 154,715 216,601 295,365

Collatz Trajectory (239 steps to reach 1)

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

3,249,015 9,747,046 4,873,523 14,620,570 7,310,285 21,930,856 10,965,428 5,482,714 2,741,357 8,224,072 4,112,036 2,056,018 1,028,009 3,084,028 1,542,014 771,007 2,313,022 1,156,511 3,469,534 1,734,767 5,204,302 2,602,151 7,806,454 3,903,227 11,709,682 5,854,841 17,564,524 8,782,262 4,391,131 13,173,394 6,586,697 19,760,092 9,880,046 4,940,023 14,820,070 7,410,035 22,230,106 11,115,053 33,345,160 16,672,580 8,336,290 4,168,145 12,504,436 6,252,218 3,126,109 9,378,328 4,689,164 2,344,582 1,172,291 3,516,874 1,758,437 5,275,312 2,637,656 1,318,828 659,414 329,707 989,122 494,561 1,483,684 741,842

More profiles

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