λ
Harmonic Matrix

6,013,455

3 × 5 × 7 × 57271
Deficient Odd Composite

6,013,455 has digital root 6. The neighboring primes are 6013453 and 6013459; its proper-divisor sum differs from the starting integer by -1,030,686.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 57271
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,996,224
Proper Divisor Sum 4,982,769
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6013453 ← → #6013459

Radix Representation

Decimal 6013455
Binary 10110111100001000001111 (23 bits)
Octal 0o26741017
Hexadecimal 0x5BC20F

Divisor Catalog (16)

1 3 5 7 15 21 35 105 57,271 171,813 286,355 400,897 859,065 1,202,691 2,004,485 6,013,455

Collatz Trajectory (227 steps to reach 1)

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

6,013,455 18,040,366 9,020,183 27,060,550 13,530,275 40,590,826 20,295,413 60,886,240 30,443,120 15,221,560 7,610,780 3,805,390 1,902,695 5,708,086 2,854,043 8,562,130 4,281,065 12,843,196 6,421,598 3,210,799 9,632,398 4,816,199 14,448,598 7,224,299 21,672,898 10,836,449 32,509,348 16,254,674 8,127,337 24,382,012 12,191,006 6,095,503 18,286,510 9,143,255 27,429,766 13,714,883 41,144,650 20,572,325 61,716,976 30,858,488 15,429,244 7,714,622 3,857,311 11,571,934 5,785,967 17,357,902 8,678,951 26,036,854 13,018,427 39,055,282 19,527,641 58,582,924 29,291,462 14,645,731 43,937,194 21,968,597 65,905,792 32,952,896 16,476,448 8,238,224

More profiles

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