6,073,340

2² × 5 × 7 × 13 × 47 × 71

6,073,340 factors as 2^2 × 5 × 7 × 13 × 47 × 71. Its 96 positive divisors give a proper-divisor sum of 10,183,684, so this integer is abundant. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 13 × 47 × 71

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 16,257,024

Proper Divisor Sum 10,183,684

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #6073339 ← → #6073373

Radix Representation

Decimal	6073340
Binary	10111001010101111111100 (23 bits)
Octal	0o27125774
Hexadecimal	0x5CABFC

Divisor Catalog (60 of 96)

1 2 4 5 7 10 13 14 20 26 28 35 47 52 65 70 71 91 94 130 140 142 182 188 235 260 284 329 355 364 455 470 497 611 658 710 910 923 940 994 1,222 1,316 1,420 1,645 1,820 1,846 1,988 2,444 2,485 3,055 3,290 3,337 3,692 4,277 4,615 4,970 6,110 6,461 6,580 6,674

Collatz Trajectory (139 steps to reach 1)

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

6,073,340 3,036,670 1,518,335 4,555,006 2,277,503 6,832,510 3,416,255 10,248,766 5,124,383 15,373,150 7,686,575 23,059,726 11,529,863 34,589,590 17,294,795 51,884,386 25,942,193 77,826,580 38,913,290 19,456,645 58,369,936 29,184,968 14,592,484 7,296,242 3,648,121 10,944,364 5,472,182 2,736,091 8,208,274 4,104,137 12,312,412 6,156,206 3,078,103 9,234,310 4,617,155 13,851,466 6,925,733 20,777,200 10,388,600 5,194,300 2,597,150 1,298,575 3,895,726 1,947,863 5,843,590 2,921,795 8,765,386 4,382,693 13,148,080 6,574,040 3,287,020 1,643,510 821,755 2,465,266 1,232,633 3,697,900 1,848,950 924,475 2,773,426 1,386,713

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