6,002,840

2³ × 5 × 31 × 47 × 103

For 6,002,840, the 64 positive divisors have a total of 14,376,960. Removing 6,002,840 leaves 8,374,120, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 5 × 31 × 47 × 103

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 14,376,960

Proper Divisor Sum 8,374,120

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #6002767 ← → #6002849

Radix Representation

Decimal	6002840
Binary	10110111001100010011000 (23 bits)
Octal	0o26714230
Hexadecimal	0x5B9898

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 31 40 47 62 94 103 124 155 188 206 235 248 310 376 412 470 515 620 824 940 1,030 1,240 1,457 1,880 2,060 2,914 3,193 4,120 4,841 5,828 6,386 7,285 9,682 11,656 12,772 14,570 15,965 19,364 24,205 25,544 29,140 31,930 38,728 48,410 58,280 63,860 96,820 127,720 150,071 193,640 300,142 600,284 750,355

Collatz Trajectory (139 steps to reach 1)

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

6,002,840 3,001,420 1,500,710 750,355 2,251,066 1,125,533 3,376,600 1,688,300 844,150 422,075 1,266,226 633,113 1,899,340 949,670 474,835 1,424,506 712,253 2,136,760 1,068,380 534,190 267,095 801,286 400,643 1,201,930 600,965 1,802,896 901,448 450,724 225,362 112,681 338,044 169,022 84,511 253,534 126,767 380,302 190,151 570,454 285,227 855,682 427,841 1,283,524 641,762 320,881 962,644 481,322 240,661 721,984 360,992 180,496 90,248 45,124 22,562 11,281 33,844 16,922 8,461 25,384 12,692 6,346

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